of Matter/The... · 2018-12-11 · FpCr;I478E6927;>6KF ¸\^`]P-cYXiRt ^ZgX[RtM]\(M]noZgX[MON.Rts...

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LEPTONS

NUCLEONS

(atomic nuclei)

Q/e = +1 Q/e = 0

H = pH = pnH = pnnHe = ppnC = 6p 6n

e

p n

− ν

1

2

33

12

proton neutron

electron neutrino

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right−handed

or left−handed

onlylefthanded

Q/e = +2/3 Q/e = −1/3

u d

p = uudn = udd

e

ν− −e e

up down

3 colors

(nucleons)

QUARKS

− ν

electron neutrino

LEPTONS

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ν+− ν

electron neutrino positron neutrino

downupdownup

ππ

_+ = ud

= u d

u ddu

e e

(pions)

QUARKS ANTIQUARKS

ANTILEPTONSLEPTONS

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− ν

− ν

µ

τ

µ

τ

e

+

− ν

Gγ 0 − +

graviton photon W, Z bosons 8 gluons

gravitationelectromagnetism

weak forcestrong force

g W Z W

+ FORCE PARTICLES

ANTIQUARKS+ +

ANTILEPTONS

Family 3

Family 2

Family 1u d e

c s

t b

top bottom tau neutrino

neutrinomuonstrangecharm

up down electron neutrino

QUARKS LEPTONS

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§t°s¶

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=?=@cQC78=@` 7?<¦78f=@C78: =@Z78=@xD7?B103254 # 6 2 # 0879(7? 08254 # 6 2 # 03254_1<9=> D=@<9=>:9:dX?"(( # ((:087M17?9=I:7p: x<9=> D=@x=?g,=Sw]z9y?IIud<C7?9:;0 n ( # n$<=2 \ DQ9:[D[G 575GI n # > n ? 7? <=2 # (:0 7 ^d=@ n ( # @ 7 0 7 \]9DQ9:[D:K* ::7MG @A# 0 n (=@ @A# 0 7 4^S` 7?78=@(<9=>:m 2 m n # *** t7<C7?PD78GU:57?d<=I:1=U578¦::;8Gd7?;@_78 dPD >Gd=@7?::=?l<=I D=@b:9=@ H8`;`m 2 m n # B 7 # 0 2 0 n 7? $m 2 m n # CD# 2 n EBGFUW7?;@B=@m 2 m n # H 7 # *** 7? m 2 m n # I 2 I n qEBGF¨7?;@8`

¶C=@BD :P7? ;=?:9O<9=>:9:¦pMuSzGpy?w]~p³\ =@BL>=@7p=?=?=@9L87pW=@C^ =@Â:97?[DC7?KD IDcQR³;@=?;$ 9=@»7?J=xCC7?,97pbf7?(<k=@97?K;?D 8`cHQ=@DG:=@9:PL@: eD9=?DF=bQkcqwgpwYy?,uSEuSz|?æ7? (w²pwy?OpOuSCw]Á>Â` o BZ<k=@P7?Kt=NPJ78_D, =?7?[7? cC7?P787? Â=8J::97?9GddK:9Z 7p97p?@:V:9;?GcD:978KgG¦_9:7p: d=N,K:78=@¦?pD7?Z7? HID7?K78L@UTF7?Qk=AL?N9578Z[=?1=@C78::`KJ,=@9L878=@q=?t:9;?GT9:[D9:q7c 575Gq<9=>: # Ä C78§ML N§¼ § - >U =@ PO # , =?NcDPC75L@Q µ;N§MR §MSM`Jl=?78QR57?D9H=?R::;8G7? Z=@:KD:=?9L878=@OµU57?Qkl:7?D>W78 O =? 7?=@F\/ D^JC7?RP78?8`;` =@ TO # , =@NC7?µN¢\U(:L (WVg^ - ¢¨\U(WR (WSS^ - `qZZ7?_L87?DZ =@µq³7$<C7?P:D7?d957?S=@C7?:|µXY[ZC\ , ^¦¢ §MR §MSf =@957?S=@fC7? , K"S :9: =7?"Bw\Izu]\Cpv =@JJC78:|`JH=8[DC78[gGÂC78¦PG:=@:PL@ .;@=@; 9=@ 78_=*C7?,P78TZ=?7?,78;@D7?d=@:KD

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¢ k`a?`d[DC7?KD [D¦QR7? § \];@[L87?D:"\ A^ . - 7? § . =8 -78 U<k:L?:G^7?Bd7?ZB7?E7? bCC7?19788C:9 7? *§ 7?B=@Q>7?: QKG:=?cQ;7?J=?Q7?"7?;@D78=@:K77? 7?"9<=?O<7?9::BKL?=@L?: `bH=Z=?78FuSuSw]z~b]\y?zIuF7? Z=?78lCÁISuSzTOy?zSÃKp7?9O=@9L?: ` o :=@K7?P5J7[DC78[gGX8O<C78gGe¦=?f7?75GIÂ:=?9L@ `¦DÂ=?Dc= :<k: =@TgGI<Rq=?K:7?=@C78l78B<k=@QN =?7<C789:D7?<9=>:9:`

¶C=@B<=?B=?V:9=@=@d7? e:=@<SÂ=ML@9LIS½=?<7?9:Â<=?<R9:B,S :=O y?zSw]~Suy?wYyuGM~uJk57?Qk¦ =@D x78! " #%$'&)(+*-,.*(/&"0#1J`N¨[DcQk:N=?<7?9::=@F<9=@<R9:l7? 575Gb=> 7?FP: bQk:=AB`

23%3 54B 6C7? O7?9 S 76 Z7?q :575Gb=> K\]^

\98 F - ^m n ` Æ P7?Q\;:·º <M ->= G>^ A¥ Ä 2?@? A Å <P nI® 97?Q\] B@^ Ä> n Æ `CB DT¢ Ä * Ä < nI® A¥ Ä 2 > n # m n ?E? ?F?F A * G 97?Q\] B@^ ÄDkn HBIBJB>` DT¢ * Ä GK<MIn ¼ - A¥ Ä 2 Dkn # m8n ?#?)?HL \ HBI` &KMf^

Dkn # > n ?#F?HL \ HB>`aºMf^D n # ? DON@P n ¼9Q SR N P 2 - Q SR\ ?`a;`TDRn # 0_n ?HL ``:`^

?L A & 97?Q\] B@^ Ä8 6 4B 6 \VU ¢K^

C7? O7?9 SZ 6 Z7?q :575Gb=> K\]^\98 F - ^

0'W Å G` ^ DT¢ Ä * ^ < In In 032 # > 2 ?HF0 7 Å@Æ ` DT¢& * º <P n ¼9X n 0 7 # ¡3¡

8 6 4F 6 \9U¨¢ K^=@K[D C7? O7?9 SZ 6 Z7?q :575Gb=> K\]^

\98 F - ^Y Å G` ^ Z ¢ * Ä X8 F In Y # ¡3¡

Y # 0 7 0 7 0 7[ W ºG Å ` ^ DO¢ * Ä º\<P n n [ 2 # > 2 ?HF[ 2 # 082$087U7? 032$032$0n[ 7] ºGIB>`CB DT¢ * GK<PIn ¼ 7U In [ 7] # 050¸\032$0_n$7? 087 0 7^[ 7^ ºGIB>`CB DT¢ Æ * Ä < n n [ 7^ # 0 050B W B 7 BIB Z ¢- Æ K8GF n B # 0 0_ B& Å Z ¢& * º8 F 8n _ # 032 0_nW087C G Z ¢´º * Æ 8 F 8n C # [`[ \ [ 2 [ n7? [ 7^ [ 7] ^a W & ^ G DT¢ * <P n ¼ - n a 2 # [ 7cb 2 ?d \ b ¢´m % > ^a 2 # [ 0 b 2 ?da 2 # [ 7 0 2a 7 a 7 & ^KÆ DT¢ * º <P n ¼ - n a 7 # [ n b 2 ?d [ 0 b 2 ?d 7? [ 0C¥fe Å Z ¢&BcX?GF 8n C¥fe # b 2 b n\ b ¢´m % > ^g G8º ^ Z ¢ Æ?Å X?GF 8n g # b 2 b n\ b ¢¤m %)> % D3^

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4F 6 \9U¨¢-M^C7? O78 6 O7?q ::75GbZ=I K\ ^

\S8GF - ^< G Å &` Å 97?QO\!D : - GI^ A¥ Ä 2 G Å G` ^ DO¢&&Bc A¥ Ä 2 4 # (3m n ?E?@ ^ DO¢ Ä * ^ < n ¼ 7 A¥ Ä 2 @ # 0¸\U( 0 n 7? D4$0 7 ^< 2 &IG DO¢ * &\< n ¼ 7 A¥ Ä 2 < 2 # 0·\U(:0 7 7? 4 0 2 ^< 7 G Å DO¢ B * ºK< In - 7l A¥ Ä 2 < 7 # @ ¡< n GB DO¢ * Æ < n ¼ 7 A¥ Ä 2 < n # 4$0 ! 7 Å Æ DO¢ Ä * G\< n ¼ 7 A¥ Ä 2 7 # @ 0 7 n ÅKÄ DO¢ * ^ < n ¼ 7 A¥ Ä 2 n # @ 0 n6 n1``:` 6 2W2 Ä?ÅKÄ Z ¢ Ä K8 F Å ¥ Ä 2 6 # 0 n ^ B Ä DO¢ * &\< n ¼ 7 Å ¥ Ä 2 n # @ [ n 7 0 n 78 n 0 7

l=? U:D>=f=@78=@EQk D9: b=@ HB>` hj N P n ¼9Q SR 7? N P 2 - Q SR VÂ 57pBcD :9GI;T ::75G$K=T[DC7?X[\-N@^l7? x7?K W

ID7?X[¦\ N?^Vb<C789:D7?C78;@:` [ 2e7? 082e7?=Â 575Gq=Zm2 ?H? CQD>=@Gq7ÂZ7?R 78=@e\ [n = ^S` ¦Xp7?=@9GIP:Qkd D9: $9:=@ ^ ` Æ `O78l R:9:dQkgV:$

<KG>9:7?978Ul§ ! §d¢ Å * Æ < n ¼ - 8 F ¢ * Æ?Å <P ¼ 7 n ¼ ¢ \ Æ ` Æ O^S` "!$#&%('*),+'.-0/1'*'*2 '*3 '54 '526-879#8: ;79#<-8=>%(3 '5)

t78 =@C78Gq =?DHgGI<RB=?V =?:B7? 9;?D9: ` 6 =@c;@:7?]7?B7?Â9DO7?9@?: qF =@=A;d7?Q?` BDCFE&G8HJI

KLNMPORQTSUM>SUQWVYX ZJ[\M>]^Q_X`Sa[bLNMcdSUQWVYX [\eT[\cdSaLUVYfM>KYXg[bSUQWhUf haSaLUVYXiK5j@VLNcd[haSaLU[\XiKSUk lbm n an lbm n ¼ 7 lbm n - lLNMXiK[ 0 lPoqp - lbm n ¼ f 0 lPoqp - lbm n ¼ fhaVYriLNcd[ fMhNh Zs[\M>]tcNkuM>LUK[\h [\eT[\cdSaLvQWcwcNkuM>LUK[ cdVYeTVLxcvkgM>LUK[cbM>LULNQT[bL&yzM>LUSUQWcbeT[ KLNM\OQTSaVYX | W~7 KYeWriVYXuhhayuQWXyzM>LNQTS 2 l n l n l nQWXggQTLN[\cdSJj@VLNcd[\h O MX$i[bL&"MMeWhjVLNcd[ XrucbeT[\M>L&j@VLNcd[haSUM>ueT[whahaSa[\fh haVYeWM>LhURhaSa[\f ¯¯¯ M>SaVYf f5VYeT[\cbrgeT[ yuLUVSaVYX XRrgcbeT[\rgh@i 7qd=@d=Z7R@x=R9DQC7=$@<KGzv@qÂ7R$q vQ Lu7dSzbC7;T=R9<@IW]f<C7RNd@q@q:`c7Z<Â=Rx @qq=Z7?;Pd^@idq7RPd=5C7RBQ qDv dv Pd=RU=R¡[Dq@57l<[Guv@ c\]<C7v ^S`C ¢£_A7.=Z<7RqAw_d"dSzbC7;¦=<=<=uD ;^[D 57R. =q?`Nh^Aw@@¤v ÂQ =A¥=A¦d7 . =R c7RqDC7R@G7RqF7RF7 L87dLF=Rd5Dv=;$ =v ¢Aw@b@$ 7dqbQ[GT;D=R:`

.@=dwAx57?X$@idq7RPd=7R($ 7dqZQKG$<>W]U<C7RNd@q@q ¢[QDdqUQR=9=,7RLq9G575L[G\]=^:7R@,=R§dF[Dq@=3^S`¶3=RJ@v7 ¢d H 7 WgQk==t8SzbC7; $@¨d:7R=R7Ddv@=@i 7qd;5AwO7F<9=R=E`lQC7R@idq7RPd=vdv ;d0¢gdw=@D<@;¢ =R8dAx578Xg 7Rq=@V7RPDC7RGt=<C7R78Q@w=d. @qq=Z7?;Pd(id 7Rq= ¢IQD©.]7q

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C7wd¨b7R;q<C7Rv@q@5@w:75LIGR¢§ ¹ G EGF - ¢§O78XR wd¨g 7Rq="Su $ Gv=N9Wa7R;q\ n ¢ * ;E5 F n ¼ ¹ Ä * Ä <P n ¼ T^`

~e

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2 2Z

νe

νe

Z 0

pp

\E^J¹ m -\ - § - , - ^

\@^J¹ . , S><d\ ! @¥ n ^

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0e/ εe e

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| # HR@LHHgHRNd @R

qIH`d~HRHRidSgHRv@q@ \ | # qIH`d~HgHRv@q@

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+ +

+

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e −e −

γe e

γ

e −

e

γe −e −

γ

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e

γ

ee

γ

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N¢NNN/V

*o vdcHR RRJH5Lu@,h$HDrr5g RRJcRfe6g@,h ¢RRRR(cHRb N \Y N LNLR vS£¢DKLfRLz,hyHZDeHR Aw_d cRRbR^~HDeHR Awd dRbRHR H hbe6R RR(r`g ¢IHb Aw_d RYAw gHRNdcebHRNdv ,hR0¢<dq"cRue,g@,hvRfq£ r HR e vSru@6h nru$qnrR¢ @hMRfe6g ddRnrLHR,hueHuh6 kv vbq qOr ^ Å aP¢£WeKHnrdMHRNRPHdSRsHRyR,h9q^cRSR _ v^@.@ ;HqRRSrpEuwdRfe,g@,h$cRRvJHRi _ qLHLcRue,g@,h HRv9Pd v NqOr9v:De $ iHdMHRNRPHdSR¨@ cRSRtMg,HR ,R ,RRPHR_d ¨ddcR!r¢xKy?Á@Iu¦kzS~/ES~ ku _ @IHRwMRvdnR,hcRRvJHRglR@idqJHRPdSR6dq _

s

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b,HR,hR8hbe6Rq£PaA©q "cRRbRv 5e,HR eq@ ^vMR,h@i JHqdSR _ 7g?Rvbq5e,HR kgDeH khSe,RqLqv@ qH5MePHR? q

UWVYX)Z ¢#N \Y ^ LIaY N L % ^ Ä5_ &fa*bHRnhRfg MHJRv ^ Lda YRvpnevFvqiR ^ Shi%a< v_dcHRPHdv@q @6dRbR&ngHR cRRqMg?R,hJRtdhq MHJRRlRRd"!$# ^ Å aFnru$Pd!r% _& ki[s[\QWKYk`S¤ki[bLvfQTSa[\MX*fM>SaLNQWcd[\hQ_X(SUki[('qgQ_f5[\XghUQTVYXuMecdVYeTVL¤hUyuMcd[<M>LU[)aruhaS£SUkg[J[*Sa[\XghUQWVYXVjsSUki[*SUkiLU[b[5ki[bLNfQTSa[\MX6fM>SaLNQWcd[\hQWXSUki[qgQ_f5[\XghUQTVYXuMehayuQ_XhayzMcd[ Zki[bLU[VYXi[5kgMh+,.- o>*ZQTSUk

/ ¼ , m ll m 10 /%2 , m 3(44 m

10 / , l mm 3(l ¬

hNM>SUQWhaj@RQWXgK & L65 / Y / 67 , 98 Y ¯BVL£SUki[:'qgQ_f5[\XghUQTVYXuMe hUyuMcd[¤VYXi[kuMh<;<ki[bLNfQTSa[\MXwfM>SaLNQ_cd[\h= L 5?> , l 0 ¬¬¬ 0 ; 7 ZxkgQWcNkM>LU[8Z&LNQWSaSa[\XMh = L ,A@ L o> ]RXiVqZX*Mh0SUki[ ° [\eWe BMXgXfM>SaLNQWcd[\h

@ ¼ ,m l ml m mm m m

@ 2 ,m 3C4 m4 m mm m m

@ ,l m mm 3wl mm m m

Ä º

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@ = ,m m lm m ml m m

@ ,m m 3(4m m m4 m m

@ ® ,m m mm m lm l m

@ X ,m m mm m 3C4m 4 m

@ , l 'l m mm l mm m 3

ZxkgQWcNk$hUM>SUQWhaj@ & L65 @ L @ V 7 , 98 L V ¯

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V(r) ~ 1/rV(r) ~ 1/r

QCD

QED

V(r) ~ r

largedistance

shortdistance

permanentconfinement ofcolored quarks

! g?RRdqidLH@ @ Q HR Q J H v,Rv HRLHRnh @NKHRq q¢ v Mg %kdL r _

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Iz

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3/2

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d dπ

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q 3s = 3/2

s = 1/2

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q q

s = 0

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∆ = −4

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W X>N? AZ? =YC^`?eSV; Q JL\_FGJ B A W a J HfH ?E A 9 P Y Q J [\_F%J B AJLTN Q Tn^PJVFZ= Q a cNH JLF=%>@? Q= ? FG?ET a ?EA Q Tn=G>N? Q JV\_F%J B ;6SLF % JVTN % a S BDQ TN\;6FGS B a S B ^ H ?6L )Xd B JV=GF Q ? H ? B ? TU=%AEW a J c AG? Q FG? a = L 7 K Q S H Jl[= Q S_TgiX>@? Q T a S_FG^`S_F%Jl= Q SLTSL; L 7 [ K Q S H Jl= Q SLT Q T=%>@?AZ=%JLTNPJLFZ B SCN? H K Q J a S B ^ H ??? TU=%F Q ? A Q T =G>N? L )Xdn[B JV=GF Q a JLTSL; a S c FGAG?bTNSL=FZ?J HRH Yk|`? a S_T@A Q @? FG?E JLA c T@N? FZAZ=vJVTN Q T@\ =G>N?DSLF Q \ Q Tgi¥/S AZ= c @Y Q TB S_FZ?b@?E=vJ QfH L 7 [<K Q S H JV= Q S_T W?6 ^ ?EF QRB ?ETm=GA Q T=%>N? [AqYCAZ=%? B JLFG? c TN@? F 7 JY_W 7 >@? FG?b=%>N?? ? a =%AJVFG? ?6 ^`? a =%? =%Sn|`? Bdc a > H JLFZ\_? FEi z TN?d=%> Q TN\MS_T@? a JLTO?6 ^ HRQ a Q = H Ye@SNW Q A a >N? a =%>N? c T Q =vJVF Q =Y=GF Q JLTN\ H ? =%SAG?E? Q ;=%>N? L )Xd B JV=GF Q Q A c T Q =%JLFZYLiL 7 [<K Q S H JV= Q S_TIJLTN x JLAGA cNBbQ TN\ L 7 Jp\_SCS IAZY BDB ?E=GFZY y [ K Q S H JV= Q S_TIJ H AGS Q A T@? ? @? =%S?? ^ H J Q T Q T =%>@? | Q \e|PJVTN\kA a ? TPJVF Q S =%>N?DA c FZ^ Hfc A SL; B JV=Z=%? FS:K_?EFdJLTU= QRB Jl=G=%?EF Q T =G>N? c T Q KL? FGAZ?Liz TN? BbQ \L>m= 7 S_TNN?EF Q = =G> Q A a JLT]|`?M?6 ^ H J Q TN?E | ? a J c AG? 7 ?MAq=vJV=G? L 7 [<K Q S H JV= Q S_T 7 JLA A B J HfH iµ H =G>NS c \_>kJ HfH K Q A Q | H ?AZ= c% x Jl=%S B A y Q A S_T H Y B Jl=G=%?EF W =G> Q A Q A SLT H Y JL|`S c = ^@FG? AZ? TU= Q TJ¯ 9 ¯\FGJV= Q S 7 Q =%> Q TUK Q A Q | H ?Aq= c% A c a >nJLA x AG? H ; [ a S_T c \UJl=%? y ^N>@SL=%S_T@A x 1 ) |PJ a \_FZS c TNoFGJL Q JV= Q S_T y JLTNx ^NFGSL|PJL| H Y y ?³ c J H J B S c TU=%AXSL; TN? c =%F Q TNS_AJLT@eJVTm= Q [<TN? c =GF Q TNS_A H ? ;~=X;6FGS B =%>N?| Q \|PJLTN\Ni k ?J H FZ?JL YM Q A a c AZAG?EkTN? c =%F Q TNS_AJLTNn=%>@? Q F H ?E;~=G>PJLTNN?ENTN?EAGA JVTN 7 ?FG? B JLF ? n=%>NJV= H ?E;~=q[hJLTNF Q \_>U=G>PJLTNN?ENTN?EAGAeJLFG?\_SCSC ^NFGS_^`? Fq= Q ? AoS_T H YI;6SLF B JVAGA H ? AZA ^NJLFZ= Q a H ? AEi e? a ?ETU= H Y Q TN Q a Jl= Q SLTNAJ a a c@BdcNH Jl=%? =G>PJV= T@? c =GF Q T@S_AJLFZ?dTNSL= B JLAZA H ?EAGAEWg?EK Q @? T a ? a S BbQ TN\b;6FGS B TN? c =%F Q TNSoSLA a QRHfH JV= Q S_TNA iz A a QfHRH JV= Q S_T@A SL; ? H ? a =GFGS_T#TN? c =%F Q TNS_A ;6FGS B =%>@?E@PFZAZ=;3J BbQfH Y Q Tm=GSOTN? c =GF Q TNS_ASL;=%>N? SL=%>@? F = 7 S;3J BDQRHfQ ?EA a S cNH n;6SLF Q TNAq=vJLT a ??6 ^ H J Q TM=G>N?S_|NAZ? FZKL? eAG>NS_Fq=vJL\L?SL;AZS H JVFTN? c =%F Q TNS_AEi X>N? H JV=Z=%? F Q AJ H S_TN\V[<AZ=vJVTN Q T@\ ^NFGS_| H ? B Q T JLAq=%FGSL^N>UY A Q a A iX>N? ^NFG?EAG?ET a ?XSL;@S_T H Y H ?E;~=G>PJLTN@? AZ^ ? a Q ? ASV; J B JLAGA Q KL?h;6?EF BbQ S_TJV=@PFGAq=A Q \_>U= \ Q KL? A=%FGS c | H ?Viµ AX Q A a c AZAG?E Q T AG? a = Q S_T I i 1 WN>N? HRQ a Q =YbAZ=%JV=%?EA;6SLFXJ B JVAGA Q K_? ;6?EF BbQ S_TMJVFG? ^N>UYCA Q a J H x ? Q \_? TNAq=vJV=G? ASV; =G>N?;6FG?E?>NJ BDQRH =GS_T Q JVT y W | c =hTN? a ?EAGA%JVF QfH Y |`SL=%> x ^ S_A Q = Q K_?JVTNTN? \UJl= Q KL? y >N? HfQ a Q = Q ?EA?6 Q AZ=i©X> Q AQ AJDA QRB ^ H ? a SLTNAG?³ c ? T a ?dSL;=G>N?;3J a ==%>PJl= >N? HfQ a Q =Y N? ^`? T@NA S_T =%>N?S_|NAZ? FqK_? F x B S K Q TN\A H S 7 ? FSLF;3JLAZ=G? FX=%>PJVT =G>N?^PJLFZ= Q a H ? y iX>N?AGS Hfc = Q S_T Q A=%>N??6 Q AZ=%?ET a ?SL;/= 7 Sb=YC^ ?EA SL;/;6? F BDQ S_TNA 93 h 3 9(h £7%5 i)X>N?EAG?JLFG?=%>@? B S_Aq= 7 ? HfH [ TNS 7 TS_T@? A;6S_F 7 > Q a >S_TN?h>PJLA|`SL=%>^PJVFZ= Q a H ? AJLTNeJLTU= Q ^NJLFZ= Q a H ? AEi G@J B ^ H ? AJLFG?? H ? a =%FZS_TNAJLTNE³ c JLF AEiXz TN?>PJLA= 7 S a > Q F%J HRQ =YoAq=vJV=G? A;6S_F=%>N?X^NJLFZ= Q a H ? x e JLTN e y JVTNb= 7 S;6S_F=%>@? JVTm= Q ^PJVFZ= Q a H ? x JLT@ y iX>N? x ^@>mYCA Q a J H y>N? HRQ a Q =YoAq=vJV=G? A JLFG?JL^N^NFZS_^NF Q JV=G? HfQ T@?JLF a S B | Q TPJV= Q S_TNA x S KL? F H JL^n;3J a =GS_FGA\ Q K_?ET Q TnAZ? a = Q S_TI i 1_y i3 3 7 h 3 3 9(h £7%5 itX>N?EAG?nJLFZ?D;6?EF BbQ S_TNA;6S_F 7 > Q a > ^NJLFZ= Q a H ? ,JLTU= Q ^PJLFZ= Q a H ?LW/A QRBDQRH JLFJLA?Lij\Ni;6SLF ^N>NSL=GS_TNAEi¥T=%>PJV= a JLAG?d=G>N? AZ=%JV=%?EA 7 > Q a > 7 ? c ^O=GSnTNS 7 a J HfH ? l JLTN l JLFG?J a = c J HRH Y=%>N? H ? ;~=Z[ JLT@DF Q \_>U=%>NJLTNN?E a S B ^`S_TN?ETU=%AhSL; SLTN? x d J ZSLF%JLTPJ y T@? c =GF Q T@SNiX>N?x ^N>UYCA Q a J H y >N? HfQ a Q =YAq=vJV=G? A TNS 7 JLFG? c AZ= HfQ TN?JLF a S B | Q TPJV= Q S_TNASL;g=G>N? AZ? = 7 S a S B ^`S_TN? TU=GA iX> Q ASL; a S c FGAG? a JLTeSLT H Y 7 S_F ;6S_FJ TN? c =%F%J H ;6? F BbQ SLTgi

SL=%?h=%>PJV= 7 Q =G>=%>@?TN? c =%F Q TNS_A | ? Q TN\Jd J ZSLF%JLTPJ;6? F BbQ SLTNA W =%>N? ^PJLFq= Q a H ? [ JLTU= Q ^PJLFq= Q a H ?JVFGFGS 7 A7 > Q a > 7 ?DJLAGA Q \_TN?E=GS ;6?EF BbQ S_T HRQ TN?EA Q TO Q JV\_F%J B A TNS H SLTN\_? FAZ>NS cNH |`? c AG?E ;6S_FTN? c =%F Q TNSLA i

¶JIV·

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?E^@=%S_TT cNB |`? F a JLT|`?K Q S H JV=%?Ed|UYd= 7 S c T Q =GA : ¶ WU?E= a i© Q =%> J B JLAGA=G? F B S_T@?J H AZS >PJLA=G>N?^ SLAGA Q | QfHRQ =Y SL;hTN? c =%F Q TNSnS_A a QfHRH JV= Q S_T@A |`?E= 7 ? ?ETpTN? c =%F Q TNS_A|`? H S_TN\ Q TN\o=%SM Q= ? FG?ETU=;3J BDQRHfQ ?EA iX> Q A A QfB ^ H YnN?E^ ?ETNNAS_Te=%>N? ;3J a = Q ;=%>N? B JLAZA ? Q \_?ETNAZ=%JV=%?EAJLFG?=%>N?A%J B ?dS_F Q= ? FZ? TU=JLA=%>N?Aq=vJV=G? Ao?ETU=%? F Q TN\ =G>N? Q Tm=G? FGJ a = Q S_TNAEi T =G>N? a JVAG? =G>N? B JLAGAD? Q \L? TNAq=vJV=G? AMJLFZ? Q ?EFG?ETm= H ? ^ =%S_TT cNB | ?EFGASL; Q= ? FG?ETU=X;3J BDQRHfQ ? A a JLT a >PJLTN\_?Vi?E= c A QfHfHRc AZ=GF%JV=G?=G>N?d^N>@? TNS B ? T@S_TOSL;hS_A a QfHfH JV= Q S_TNAX;6S_F = 7 S x Q TNAZ=G?JLSL;=G>NFG?E? y TN? c =%F Q TNSLA iµ AGA cNB ?d=G>PJV= =G>N?³ c JLTU= c@BB ? a >PJLT Q a J H AZ=%JV=%?Jl= ^NFZS c a = Q S_T x AGJYJ Bdc SLTTN? c =GF Q TNSMJLF Q A Q TN\;6FZS B ^ Q S_TN? a JY y Q ATNSV=JVTb? Q \_?ETNAZ=%JV=%?SL;`=%>N?>PJ BbQfH =%S_T Q JLTgiwµ AGA cNBDQ TN\= 7 SFG? H ?EKVJLTU=hTN? c =%F Q TNSAZ^ ? a Q ? A Wm=%>@? AG?? Q \_? T@AZ=vJl=%? AhSL; =%>N?>PJ BbQfH =%S_T Q JLT JVFG?X= 7 SS_FZ=G>NS_\_SLTPJ H Aq=vJV=G? A lN# JLT@ l 7 > Q a >JVFG? c AZ? DJLAS c F|PJLA Q A i-X>N?EY JLFG?? Q \_?ETNAZ=%JV=%?EA 7 Q =G> N?@PT Q =%?X?ETN? FZ\ Q ?EA a SLFGFG?EAG^`S_TN Q TN\ =%SA HfQ \_>U= H Y Q= ? FG?ETU= B JVAGAG?EAC # JLTNC W Q ij?Li # j ´ C # JLTN j ´ C izX> c A 7 ? >PJKL? Q T\L? TN?EF%J H x : y # lN# x : y ´ l x : y # e R lN# x y ´ e R l x y ' x£¶ i=¯ 1 ¯ yµ AGA cNBDQ TN\D=G>PJV= J Bdc S_T [T@? c =GF Q T@SD^NFZS c a ?E Q T =%>N? JV= B S_AG^@>N? FZ? Q A J HfQ T@?JLFA c ^ ?EFG^`S_A Q = Q SLTeSL;=G>N?= 7 S B JLAGA? Q \_? T@AZ=vJl=%? A l # JLT@ l W Q ij?LiJV=X= QfB ?:$ @W l x y a S_A0 lN# x y ´ A Q T0 l x y SLTN?>PJLAJV=X= QRB ? : l x : y a S_A e R lN# x y ´ A Q T e R l x y JVTN =G>N?^NFGSL|PJL| QRHfQ =Y=GSY@PT@ JV=X= QfB ? :XJV\UJ Q TnJ Bdc S_T [T@? c =GF Q T@S Q A * l o l x : y ¯ A Q T ¶ A Q T # ¶ : ' x£¶ i=¯ 1[¶_yEPS_F! Q c J" Q S_T#$PJ" C # W1C &% j S_T!NJ' # W |`S'$)(GS c \*+RY,³ c- +.%S j ix $/RTmY y T0(G\VYM/ 0(1 T a &/2 # C # C ¶ : C

¶ µ3$4(5( -76 4+2+2/98: - /2 1 - 8 a ; 7 /<$ -'== (1>8/9? - 0+<@A$B = 4 C>'3D+2/9:*E nx $/9?BF/9 GH Ey >*808H - - I( 6 / 6"- + = (1>_| - |/2+2/<@

& x l\o y ®¯ /28 ¶ F 1/28 = : C 4 G ¯ /28 ¶ F 1/28 J x£¶LK ¯ 11Uy7 /<$ J 4

: C ' x£¶LK ¯ 1'4my>'(M3N>*(8OI?B4(/9P - + = I( = >* 4 JRQ ? w ¶ ' · QTS w

: C Q w ' x£¶LK ¯ 1[·_yI?U0(/9P - +9+9@ - 7 -76 4+208:'$ J ¯\ ?VP0>*(1(4 = >*8N W3N>*( - 80I(/28> 7 /<$ - @ = /9P - +480(1:'@>"3¯ S X$> - ? - 1 ³OI - (1 e/ 0(108P45>"3 : C x K · y K0I(/28>5>' P0/9+2+ - $/9>*8 Y -76 |Z408U>_| 10( 6 U3N>*( - ?B>* = 4(/2P x = (E>*?U/28 - 8O+9@ Z[ @ = y 80I [(/98>* !> 6 0(d/9 1 - 8P04 \>'3>*(Z0(G$>*I - 8N ]>'3 /2+9>*?B^$4( 0_ - 8N`3N>*(G >*+ - (580I(/98>* 7 /<$C/98 [/2P - $/2>'8 - $d@P4/9a>"3b0+24P4(>*8 [ @ = ]80I(/28>* x 6 = 4P4 - $/9>*8k| - 1 c>*8c 1>*+ - (?U> 0+2 y-"== - ( - a>'0(d@ = \>'3b84I$(1/28>* K E>'(d >'+ - (80I$(/98>* d\>* 1P0/2+9+ - /2>*8 - (]48 - 8P0 |E@? - 1$0( 4P4 x dk( y - 8Ne$&P4>*8 6 0(1 /9>*8)>"3f@ = 0 - P4I - +2+<@,>LP0P4I( /28 /fa$& I8 K

¶JI>I

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d - 8E@t³OI4 1/2>*8 (4? - /98e>*8)G3N>*I8N - /2>*8e>'3 L - 8@ - (Gd)>C0+ K E>*(/28 - 8P4'_>*85 - 3N>'I8NF$ - b0(1 - (18>'W?B>'(M$ - 8 1 3 - ?U/2+9/20 f>'3 ³OI - ( - 8NB+9 = >*8 4_ - b+9 - b3 - ?B/9+2/90 7 /<$& - ?U& 1(IP^$I(1'_/ K K /98e0 108P4!? - 1+24 80I$(/98>* K

EM Z

σ [mb]

νν

N = 3N = 4

N = 2ν30

10

20

% (0 1>*8 - 8P0 -'= 0 1> 7 8 4( - (| - 1 >*8 - +2+ 6 /9 /f|+2 0P - @ ?U> 4 /28E>³OI - ( U3N>*(r@ 6 >"35c /U/³OI - ( 0_a+9 = [$>*8 e ^_ - 8N /28 6 /2 1/f|+9 4P - @)?B>C0 3N>*(¶ _ 1 >*( 4 84I$(1/28> aT K a6 = 0(1/2?U08E - + 1 -'= ?B - I( 7 /955 G 7 - P4P00+90( - $>*( - L G$e= >'/28E$ 7 /<$ 6 4(1@e ? - +9+ 0(1(>*(1 > 1K

I 7 O@A$(10F3 - ?B/9+2/90 d0(^³OI0 $/9>*8 - (\>* - |>*I F>*(/9:*/28A>'3 B³OI - ( L ) d?U//98:;? - $(1/ - 8@ $ 5 Y3 OYO 6 /9>*+ - /2>*8H>'3H$& [ /28 6"- (/ - 8P4'_`>,84I$(1/28>* d -76 - ? - 4_ - 8N7 - !/9 = (4P0/2 10+<@c$U8 - I(U>'3D/9:*:* &?B4P - 8/9 ? K /<$/98 L - 8@ - (G d)>C0+ - +9 > 1 6 0( - +³OI0 $/9>*8 ](10? - /28 >*8 ; $(1IP4I(,>"3 - (1>*8 4_f$ - ]P - 8`8>"d| - 8 7 0(E 7 /9$/28= 0($I(Z| - / 6 ^³OI - 8EI? @0+R#$4>*(1@ K

screening anti−screening

= g /4π α 2

10 10 10 10 100 5 10 15 20 E[GeV]

electromagnetic

weak

strong

?

5 /98:&?B^$>C 3N(>*? ³LI - 8E$I? @4+fF$4>*(1@>'8MP - 8U $IN@!$ 1$(108:"$\>'3$P0>*I = +2/28:P4>*8 - 8E$ d>'3 $ 6"- (/9>*I d/98E$0( - P4/2>*8 K E>'(/98 1 - 8P4F3N>'( L 2 $F/9:*4( >*(G4(XE^@L8 [? - 8M/ - :*( - ?B 4_ 1> 7 8)+9437_+2 - ,$>F P4(048 [/98: - 8N - 8E/ [ 1P0(1008/28:B>'3 $'_/28)/2 P - P4>*+2>'(0_;P - (:* K - 8E/ [ 1P0(1008/28: 7 /98 - 8N $C 1(08:'$X>'3\C/98O0( - P4/2>*8 )/28 [P4( - 4 &3N>'(a+ - (1:*0( /2 - 8P40 - 8@0P0(1 - 10 3N>'( ? - +2+90(//2 - 8P00 N>*( 6 / - E>*I(/24( $( - 8 [3N>'(? Z/2:'0( ?U>*?U08E - 084(:*/90 8> 7 8 - 3 5 f 7 hP9I9 7 K E>*( G 2R$ 0P4>*8N/ - :*( - ? /2 - | 108E - 8N $eP0>'I = +2/98: P0>*8 [ - 8Ed/28P4( - 0 3N>*(/2:*0(084(:*/90 K a - |048 - (1:*IEA$ - 4@H? - @e?B44 - >*?U/2:*e P - +2"_(^3N0(1( H$> - $ S 5! h 3 Pp ", 3 £7 ED 9 7 h f 1P - +9 - (>*I8N¯\ # WS !_/ K K /2 - 8P00 >'3Y$5>'(G4(>"3¯\ e ! ? Kd - 8E@#$4>*(^$/9P - +$ - $4? = $ - (|Z4/28:5I8N0(1 -j 48,$>G0?d| ; L - 8@ - (G d)>C0+/28U?B>'(4+24: - 8E#$4>*(/90 M|I/2+9;3N>*(#/28 - 8P0 >*8 - /28:*+2 @L?B?U4(1@R:'(>*I = /28 >'(G4(e> -76 >*8+<@>'8#P0>*I = +2/98: P0>'8 1 - 8E7_W>*(\/28P4>*( = >*( - $;3N4(?U/2>*8 [ |>* >*8 1@L?U?B^$(1@ 5(P f+9(h 5 9 h K µd+9 >#/28P0>*( = >*( - $/9>*8`>"3:'( -76 /9@C/98C$#I8/=@P - $/9>*8C/9 - 8 /2? = >'(1 - 8OG:*> - + K µM0? = $ \/98P0+9INP4>*8 1/f4( - /2>*8 >'3a?U>*(1e - 8 1 =- P0e/2?U08 /2>'8 - B(1³OI/9( 3N>*(F ^$/98: I =R- P0>*8 1/2 $08E0>'(1@#/98 7 /2P =- (1/2P0+90 - (&8>U+2>*8:'0( = >*/28E /98e =- P4 [ $/2?U'_@|I% > = 08H>*(P4+2>* 1 & M 1(/98:* ?U> 6 /28: - +9>*8: - 7 >*(1+f [ 44/28 $ - )>'3 - 7 >*(1+f+9/28 K /<$#$G/98P0(1 - 1G>'3f$&480(1:'@H P - +2>'8 - +2 1>U:'>4 X| - P $>\@( /98 1 - 8E$ - 30(M$|/2:| - 8: K

¶JI('

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% ! e ° 7 ' ' Gd) ° 5 ¯ 4 dH e W e l o ° o ¯\ I dH ° e W e l ° ' · d) % _ e £° 2¯ S W e ° ~ ( '

>'$ 9 4 - /2+9 M>*8L/980? - /2P0 DP - 8Z 3N>*I8)/98,$ -'== 48/#>*8 O/980? - $/9P0 K 6C8 . ,&D 6 +0*L >'8 /!0($&3N>'+2+2> 7 /98:! 7 >"4P - @e?U>#4 >'3 -\= /9>*8 _

e e l e l3o

$!I80(+<@L/28: = (>LP04 a/9 ³OI/<$5 /2?U/2+ - (0_ - 8A3N>*(%>'$ = (>LP04 4 a I#&BP4/248Oa084(:'@H/2 -76"- /2+ [- +2 K 5 ;;P - +2P4I+ - $' 084(:'@ - 8`?B>*?U08EI? >'3M;4+20P^$(1>*8 - 8`?]I>*8 $> P - +2P4I+ - a> 6 4(+ -'= Z^ 7 408eP /9( - +9/9@F 1 - $4 +943$ - 8( - 8#(1/2:*E$ - 8(& - 8#0+9/2P0/<@F 1 - $4 K*) 8 [/2P - $ > 7 +243 - 8'84 >'3.$ 7 - #/28E$4( - P^$/2>'8 MP - 8H+ = + - /98,$ +L$(4?B4+9@# 1? - +2+( - /2> l l o *, ¯\.- K 6C8 . ,&D 6 +*)L 0P/B - $10 >*+<3N08 $0/98 =- ( - ?U4(/32 - $/9>*8U>'3 $ L )Xd ? - (/4F(4 = 0P4 I8/< - (1/9@ /98 - 8+ =- 8 1/2>*8 /28 K5 > 7 $ - \$#I8/9 - (/9@ P4>*8/<$/2>'8`3N>*(!76( - 8 $/2(8 (1> 7 \>'3$? - (/;P - 8 &( = (0 108E$( - - $(1/ - 8:'+2a/98,$&P0>'? = +99 % = + - 8 K 6C8 . ,&D 6 +;:L >'8 1(IP^ $]+ = +2/9P0/9 7 -76 ]3NI8P4/2>*8 a>'3b$ = (>'>*8 8GN³ K)¶LK ¯\ 4 - 8c80I(>*8 K=< 0( - ( 1 6 0( - + 7 - @L ]$> = (>LP04' K a8;P - 8CP4>*8 $(IP4F/28 6 0( - + 7 - @ N 1 - (1/28:6( 7 /9 - 8 [P4>*86:'I( - /2>*8G>*( - 1 [ P0>'86:*I( - $/9>*8& - 1 - $ 7 /9$5$ -'== (1> = (1/ - K³OI - 8OI? 8LI?>Z4( K µ30(/9? = >* 1/28:]&(/2:'O @?U?U4$(@,3N>*(M53NI+2+ @ $4? $/98,>'3 - +2+ =- (1 >'3 7 -76 53NI8P^$/2>'8 _P4>*+2>'(0_ = /28 - 8H/2 1>* = /28& - + 7 - @L $& - ?B - 7 /2+2+Z0?U0(1:* K 6C8 . ,&D 6 +@?5 !!+ = +2/9P0/9 7 -76 ]3NI8P^$/9>*8 d>"3 = (>"$>*8 - 8 84I$(1>*8A>, 6"- +9I - $&$!9 = 0P^ - /2>*8 6"- +9I>"3M$U? - :*8^$/2PF?U>*?U08E!> = 4( - >*( K 5 U$B9 = 4(/9?B48O - + = (>"$>*8 - 8`80I(>*8C? - :*84$/9P?U>*?U08E$ M>40(?U/28 - 8>'8 1( - 8:'³OI - (8#? - :*8^$/2Pd?B>*?U08E K

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6C8 . ,&D 6 +) 8#/2 M+0(P4/2 1 7 7 /2+9+Z/9+2+9I 1( - > 7 - +2/98 - ( = >"$08E/ - ++2 - D> - +2/28 - ( (0+ - $/9>*874 7 048&$>' - + - 8:*I+ - (M?U>*?U08E$I? `>"3 - 1@L 10? - 8e$5? - ³OI - ('° 3N>*(+ - (:* 6"- +9I0 >'3 K < /2 a+9 - $>,$] >LP - +9+2(e4:*:*]( - 14P4$>'(/24 d3N>*(a+P0/9' ; - 0 0_ 3N>'( 7 /2P >*8] - 3N>'I8H(0+ - $/9>*8 % ´ U° 7 /<$ ¯ ¶ % 0/98: - I8/ 6 0( - + +9> = "_ 7 /2+9 % = 48 D>'8F L/98F>'3 ?U0 1>*8 = /2>*8 4_(1> [ ?B4 >*8 4_ ) [ ?U0 1>*8 0_ 4$P K K 5 > 7 /2 G(4+ - /2>*8 K E>*(&$/2 0_ ( - +2/324U - 53N>*(!+ - (:' >*8P - 8;I d 10?U/ [ P0+ - /9P - + - (:*I?B48O N+2/!' D>*(K³OI - 8E$/!2 - /2>*8U/28 @.(1>*:*08 - $>'? K E>*( - +9/28 - (= >'08E$/ - +*Z^ 7 408 +2/9:*E³OI - (8O ]>*8BP - 8`I ; = /2P4I(B>'3 - (1>' - $/28:)(1># 7 /9$`P0>*8 - 8EN+2/98 - ( 080(:"@ 08 /9@ % 7 /9e /98#0 108P4!? - 1+24 ³OI - (8O - $ 48 ?B> 6 /28: 7 /<$ 6 4+2>LP0/9@,>'3 +9/2:*E K

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6C8 . ,&D 6 +G = +9/2P0/<$+<@ 7 (/<$/28:$M I? /285$ 0 = [ /980+ - 1/2PWP0(>' 10P4/2>*8]3N>'(f4+20P^$(1>*8 [ = (>'>*8] P - 0(1/28:8G ³ K1¶K ¯[¯ · :*/ 6 0 < 4

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- 1I?U/28:! = (> - /2+9/9@\3N>*( 68/98:! -76 /90( ³OI - (8O M$>>1240(1> K ) 8,3 - P^D /9 1$(1/3I$/2>'8 (143N4(a$>#$ = (>'>*8 _ ^_ ^$P K < >68c$F9 = (10 1 /2>'8 3N>*(d0+24P4(>*8 [ 80I$(>'8 0 =/980+ - 1/2P P - 0(1/28: 7 dI /2 >' = /98B @?U?U4$(@*_ $D _ $ $ - 8 H $ H H K 5 > 7 $ - >'8 68 < ¯ 8 ´ ´ 4

´ ´¯ H ´ H

5 7 - B/98E$0( - P4/2>*8 6 4(1/2P04 D$> 7 (/<$ > 7 8;$> 7 /2P ,P4>*?>/98 - /2>*8 b>'3 ³LI - (8/9 1$(1/3I$/2>'8 ,3N>*+9+2> 7 /28: P - (:*( P0I(1(08E !P0(>' \ 4P4/2>*8 - ( = (> = >*(1/2>*8 - +_ < _ < _ < _ - 8 < K< a9 = 0(/9?B48EMP - 87Z >*83N>*(b$P - (:'' 7 - UP0I(1(48O Z4P - I >*880( - 68 - + 1 - $+9 = >*8c$ - &P - 8 Z 4$4P4' K ) 8c$/9 7 - @ >*8FP - 8 40(?U/28]$B³OI - ( /2 $(1/3I/2>*8 d3N>*( 1 =- ( - F - 6 >*( - 8/9 1$/98:*I/9 ³OI - (O - 8 - 8E/³OI - (L K 6C8 . ,&D 6 +L >'8 1(IP^M$*< / - :*( - ?U b3N>'(W?U0 1>*8 P0>*8E - /28/98: - [ I - (8_ - 8;>* 13N>*(b$ [ - 8 [ ?U0 >'8 P0>*8E - /28/98: - 8a- 8 8 [ I - (,(4 = 0P4/ 6 0+9@ K S / 6 8 - ?U0 - 8eP - (:* [ - 1 /2:'8?B48E$ K

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6C8 . ,&D 6 +2a^$4(?U/28;3N>'(!$ 0P - @ >"3 - & - =- (1/2P4+2'_ K : K % _ 3 3 # A - #>'3$3N4(?U/2>*8 [ - 8E$/<3N0(1?B/9>*8, 1@L $0? K 0 - /2? = +2/90 M$G> 0( 6"- $/9>*8A>'3 % - $OI - >*I$ I - 8E$I? 8OI? Z4(>'3.$ % < 5 - ?U - (:'I?B48E > 7 $ - -]= >'>*8e - & , - - K 6C8 . ,&D 6 +< 5/2?Ua 6 >*+2I/2>*8#3N>*( - 8HI8 1 - +2 =- (1$/9P0+9a/28e/9 (4 13N( - ?U /2 :'/ 6 48 E@ : + = : : ¶ 7 /<$eP0>'((4 = >*8/98:*+<@;$ = (> - /2+9/9@B>'3 68/28:F =- ($/2P4+2

: $D + = $: $D + = : & '5 - ($/28: 7 /9 - - ? >'3 % ?B4 >*8 = (1>#IP0' /98 $(>'8:C/28E0( - P4$/9>*8 ^_9 =- 8 /28 $= O@L 1/2P - + 1 - $0 c- 8 7 /2P -76 F? - 10 c- 8 - 8 7 /3 c- 8 _ - 87 (1/9 > 7 8 $ 7 -76 F3NI8P4/2>*8 - /2?U : K75 > 7 $ - &$F/28E08 1/9$/90 &>'3 68/98: % >*( % - 0 7 /9P 6 / - % j P - 8 B/!08E$/6' 6"- (@ - - 3NI8P4/2>*8 >'3M$/9?B K E>*(/98 1 - 8P4'_ > 7 $ -

% 4 - - ¶ - P4>* : : 7 0( : K 0 - 5/2 % K 7 +9>' $U/28E08 1/9$/90 - - 3NI8P4/2>*8 >'3H: :MI 1/28: ·j¸ - 8 : ' ·K "! #$ % 5 0 - +2 1>]$&/90?U >*8 =- ($/2P4+24 /28 =- ('& 4P4$/9>*8H/28e8>'0 10P^$/2>'8 /98 D(4? - 8id)I+9+2/98IK IK

IK)( IK*( _+ IK 1IK 1K IK I _+ IK ' _+ IK 4IK 1K*( IK 1 _+ IK IIK 4 IK ,_+ IK \_- IK .*_+ IK (IK , K IK , K*(IK , K 1 IK I _+ IK IK IIK ' IK '

13254 80/'1 > ._4 ,/52 K 0 - - ( - (1@'>*8 - 8H?B4 >*8 0 - - (1 $4/2( = >* 1/3+9 = /98 (K 2a/2 P4I 7 - @L a$> 68 $!+2/93N^$/9?B >'3bI8 1 - +2 =- (1/2P4+20 ) 8 =- (1/2P0I+ - (4_Z> 7 P - 8 >*8?B - I(1&+2/93N^$/9?B4 D?]IP H ? - +9+20( $ - 82\ - #

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1K 0 - F/2 G$#P4(/90(1/2I? 3N>*( - 4P - @ = (1>P40 1 F3N>'+2+2> 7 /98:)3N(1>*? 480(1:'@ - 8 ?U>*?U08E$I?P0>*8 10( 6'- $/2>'8&4K 0 - /2 $P0(1/9$4(/9I? $ - 4$4(?U/284 /<3 - P - 0(/98: = (>LP00 1 D/9 - +9+2> 7 'F3N(>*?V480(1:'@- 8H?B>*?U08EI? P4>*8 4( 6"- /2>*8&

/c8 . 69D A 6 4 696C2 6 =&6 ? 6C254 ; 8 0<; 8 4 , .9=&69D K 2a/2 P4I $ - /9P3N>*(1P04 M/28B8 - $I(0 /2P ,>'80 - (d(10 = >*8 /3+23N>'( /98/28: =- (1$/9P0+90 - 8H:*/ 6 9 - ? = +24 K(K G = + - /28 7 E@#$ 7 - #/28E$4( - P^$/2>'8 - (15 1> 7 - K 0 - /9 M$4/2(( - 8:* 1K%) 8 : - I:*A0>'(/24 - 1' >*8 1@L?U?B^$(@R:*(1>*I = 4_c/2? = >'(1 - 8O;P0>*8 I48P0 /2 B$= (4 08P0a>'3 1I 1 P4>*I = +9/28:5P0>*8 1 - 8O K &d+9+(0+ - $/ 6 P0>'I = +2/98:* - (%^$4(?U/28( E@F$P - (:'5> = 4( - >*( /98#:*080( - + ? - (/9P00 K4K G = + - /28U$ I - +2/< - / 6 %0 -76 /2>'( $ - M/9 D9 = 0P^$'#3N>*(W$P0(1>* M 10P^$/2>'8#/28 -H P - [$0(1/28: - 8 /28 =- (1/2P0I+ - (5$#( - $/9>A>'3$#P0(>' \ 4P4/2>*8 /28E> - (1>*8 - 8C$ - ]/28E$> - K

=.6 ._4 80/ 6C; , 254 6C8; ._4 ,/52<D K G = + - /28 7 E@ 4P - @ >'3 - /28E$> l\o /9 G?!IP C?U>*( = (> - +9U - 8` 4P - @/28E$> l K(K 2a( - 7 / - :*( - ?U D3N>*(M$=0P - @e>'3Y$ - [ +9 = >*8e/28E$>\+9 = >*8/2P 68 - + 1 - $4 K1K 2a( - 7 / - :*( - ?3N>*(M$ 7 - 0P - @e>"3f&80I(>*8 K

; 1@80/c2<D K G = (10 1 $&08 1/2>*8 % /98#$&+2/98 - ( = >"$08E/ - + /98 7 >*8 K(K 2a/2 P4I B$c?U/2P4(>* 1P0> = /9PA $(IP4$I(c>'3 - - (1@*>'8 [ - (1@*>'8 [ ?U0 1>*8 6 4(1$+Z_a IP - B$ 6 4(19)80(')/28#$58OIP4+24>*8 [ 8OIP4+24>*8 = >'08E$/ - + K1K 2a/2 P4I aT+9/2:*E a# - (@*>*8 - 8H?B4 >*8H?]I+<$/ = +2^$ .__ - 8 H [ I - (L K4K S / 6 G I - (8O+2/98 / - :*( - ? 3N>*( =- (1/2P4I+ - ( = (1>P40 1 0 4_ K : K - j % - 8 - +2 >U3N>*($& I I08E 4P - @e?B>.4 >'3f 10& - +9 /28e 4P4/2>*8 IK K, K 5 )$ [ : ? - "/Z0(108P4 - 8 AP4>*+2>'(BE@ = 4(68c = +9/9/28: 3N>*(U /4 I - (O ;$>0 1/2? - $a&0/9:*E>'3Y$&( = I+9 / 6 &P0>*(15+ = 4P4$( /28, [ = >'$48O/ - + KIK G = + - /28#&( - /2>\>'3f? - :*84/2Pa?U>*?U08E$ M3N>'( = (>'>*8 - 8e80I$(>'8 K'K S / 6 ! 6"- (/9>*I 10P - @c?U>.0 a>"3 _ 3N>*(a/98 1 - 8P0"_ $ [ ?U0 1>*8 10] - +2!/28 10P4/2>*8IK K

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0 ? ? , D 1 . /<D ,/ nD K 0 /2P 1@L?U?B^$(/90 - (F(4+ - 'c$>eP0>'8 4( 6"- $/9>*8 >'3 084(:'@'_Y?U>*?U08E$I?)_ - 8:*I+ - (a?U> [?B48OI? - 8 =- (/9@ (K 5 UP0>'8 4( 6"- $/9>*8 (I+90 >*( 6 /2>*+ - $/9>*8A0(10>'3 > 4$4(?U/28 7 /9P `/98O0( - P4/2>*8 /2 &(1 [ = >*8 /!+2a3N>'( - = 4P0/6P 0P - @ = (1>P40 1 0_ K : K +2/!' /28#&P - 1G>'3 ! K1K 2a/2 P4I =- (/9@ 6 /2>*+ - $/9>*8,/28 = /9>*80P - @ K4K 0 O@ - ( - 8 4:*080( - $ - 3 - ( - 1(>*8:B/98O0( - P4/2>*8 /9 P0>*8P00(18' , K 2a/2 P4I = 08>*?B48>*8H>'3 [ >* P4/2+9+ - /2>*8 K

, / D K 0 - @ = &>'3f80I$(/98>* 7 >*I+3e>*85+ = 4P4$>Z = (1>#IP0(A/28, 5 I8&(K 2a/2 P4I 84I$(1/28>U>* 1P0/2+9+ - /2>*8 - 8HP - +2P0I+ - d$&>* 1P0/9+2+ - $/2>'8 7 -76 0+248:'A/28#&P - 1G>'3?B/4/98:>4 7 048A 7 >U84I$(1/28>U = 0P4/20 7 /<$ - ? - 1 /Z0(108P45>"3 K ,] K1K%) 3 - 84I$(1/28> /9 >'3$ d - 1>*( - 8 - @ = >'89 = 0P4 b80I(/98>*+24 >'I+2 [ 0P - @ K 2a( - 7$/ - :*( - ?3N>*(M/2 K

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o ' ( J< o L r · o· ' o ¤ L r 1 fì j £

' o ' ( o ª v ' _ u o ¤ v ' Z1 fì j ¿

·· '

o ' ( u o ¤ v ' O fì j Å

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b <c," %"|d|V" ,. ¢ ' ( 1 v ' ( ' 1 w ' ( £ ' w J²1 x ' ( ' x J ' O

ÌÎÍ Ô¨Ñ5Õ×ÞUÓ ÕdÓåÙ ÕÓåÓå×å×ÖÕ¦×Þ#Ó ÞUÝUÑÔÕIÞUÔ~ál" %R%", ,E%Qe.|S!h",<E" Q" !!:tZV²j b f" R:<"|" T" ( ê w

_ w ' w 1 fì j ó

:<"|$%d" Qe » ' 1ê ¼ ( XZY[ 1 fì j ",&!%

ë (' Y[ _ X²ê Y[ fì j ô

ë (+' Y[ JÃX²ê Y[ fì j K

" 9 V" » ë 1 ë ¼ ( O fì j " |" $%e?!å" 5qde.eE ( ë ë

( Y[ ' Y[ J`X²ê Y[ ' Y[ _ X²ê Y[

J X » ' 1ê ¼

( Y[ ë ël_ ( Y[ _

O fì j

" R " 9 f:t!º!5%E" # " Re?:6Æ! ë ! ë »Q1 ë ¼ ( ë 1 ! »Q1 ë ¼ ( J ë O fì j

º" Ed¯ uR" El 9 :<"|$" S& Ru ¯ u ( uR¯ uRº! ë ¯ u ( u _ ë ¯ uZ1 ë ¯ u ( u$J ë ¯ u

" j j ë ! ë %?R",",h!$,Z:6",heEj â " g",l<" ë ¯ u ( u _ ¯ u _ d! ë ¯ u ( u#¯ uJ !#:td4# E¯ K dd cH" 9 .:<" %=æ¯ K ( ë ¯ K ( K jÃ#" l:6ZV 9 ! 9 ",%Q%", ,ER%? 9 " 5¯ u :<"|uh="TS<" :<"|! o ( u _ F j

Page 116: of Matter/The... · 2018-12-11 · FpCr;I478E6927;>6KF ¸\^`]P-cYXiRt ^ZgX[RtM]\(M]noZgX[MON.Rts ciUVP-s¬X[W[Z·c

" Ñ$#8Óå××ÞUÓåá,I 9 I.f" % " yP (&%('*) j?Vh", 9 V%d", " » W 1 W,+ ¼ ( XZY[(- +/.W,. 1 0 j ä " E" 6ãl", t%t 9¨9 %?" " ",¦%6|V#!e!" 5Q ZSe`!" %!" 4e!"T8Ã",%",%j$Ã!!"|" Ã ",%,ZVZS",j4",fS& h%e!:<"|¥S%?<21qj "T E" 9 V4<%d" $,",

»43 153 + ¼ ( XY[(- +6. 3 . 1 0 j "," ,~< 9 n l eEj>d",#$1 Z:6?S %d.:<"|h< % ! ) !ql <:<"|QPj>%",:<" %=QcV`%?:<" y>!!%! 9 Ä>%d", " :<",%=" 2 9 ,yff" 5e", 9 " j7 Þ8¦Õ×ÞUÓ ×Ó:9hÕÔ~×ÕÓ<;Ñ= "|<", " 4" S&",%>½q" !$e%",º%>%d", " 2:<"|Pqj 9 %?>@?BADCEA5F ½q"|" HG+!JIK ?LM5FN>PO !R" ReZS!# " ç

» W 15G ¼ (ÂK 1 0 j » W 15Q + ¼ ( XY[(- +6. Q . 1 0 j £

j,j.% HG (R% w ) w %TS) P w !5S%c O (U% ) Pqj%,!",5" S%?1 6" Q 9 ZS",!",Gdel ",g!jV TW1",.<S%?.!P S 1h% .<d» W 153 + ¼ (ÄK !æ» W 1ZP S 1 ¼ ( JRXY[ P ' 1² jk|V X z¸P _ 1q1 0 j ¿ " º

» Y 15G ¼ (mK 1 0 j Å » Y 15Q + ¼ ( XY[(- +6. Q . 1 0 j ó

Page 117: of Matter/The... · 2018-12-11 · FpCr;I478E6927;>6KF ¸\^`]P-cYXiRt ^ZgX[RtM]\(M]noZgX[MON.Rts ciUVP-s¬X[W[Z·c

9 ,S%c ",% !" J1h! X "| 9 ! ¨%,R",% !" J1 w !hP S 1²jâ ¶. V ; 9 Vf" % 0e % ) !81 9 ¶!" if" % 2%dj eZ ( [o]\ v P o 1 ^ ( [o]\ v 1 o 1 _ ( [o`\ v

Xo ( Z _ ^l1 0 j

" 9 Vm%E" ¸,",å» î 1 î + ¼ ( XY[(- +6. î . »4G 1aG + ¼ ( XY[(- +6. G . ! »b 1ab + ¼ (XY[(- +6. b . jk|VeH_Â" º»b 1aG ¼ ( K 1 0 j ô»b 1aQ + ¼ ( XZY[(- +/. Q . 1 0 j K

9 4V %,!G dS%? O j E",¸" S&" % 9 4fVHf 9 ",%,U½q" »c_.1 ¼ (ÂK jd Ýå×Ó áeÕ2ÑáV 2",!¥eZS ~%E" ¥,E" G~ !º2" j V ¥e%dI:<"|4,l" 4e d&%, ! 0 " ",¦~",*1 w ( 3 w L _ 3 w M _ 3 w N

»43 153 + ¼ ( XY[(- +6. 3 . 1 0 j »f1 w 1a3 ¼ ( K O 0 j

k|VU. 9 ~6",~%Q.!d<,f 9 y:<" %=d:<"Tt, 9 "TVg3 N %åe¥%=jå!!"|" Q:6¥%åT1 w :<" %=µ%d¦:<"|W3 N j¥k:<"T. Hh ©i ¬ ( ¯43 1 ", 9 V",

1 w ¯31 ( Y[ w 3 3 _ ¯43 1 1 0 j 1 N ¯43 1 (8 Y[ ¯31 O 0 j £

<" R 9 %"|d¦>çY[ w 3 3 _ " S& j.k!ZSR" S& 9 1 w ",ne"|"|S ",n" n " 9 :6!52"T." 9 ½!j b ",%>" t"|%=¥a",¦kj?f<5½q>< !%c 9 >e!U"|R"|U%j?EjR¥<?q e3 L !!3 M <%d" !#" 3 ¾ zl3 L ÀÃXm3 M O 0 j ¿ %d" $ ", 9 2<

»f1 w 1a3 ¾ ¼ (mK 1 0 j Å »43 N 1a3 ¾ ¼ ( À<Y[ 3 ¾ 1 0 j ó»43 ª 1a3 ¤ ¼ ( Y[ 3 N 1 0 j

º R:6h%Ue!hZ:m1 w 3 ¾ ¯31 ( 3 ¾ 1 w ¯31 ( Y[ w 3 3 _ n3 ¾ ¯43 1 Z13 N 3 ¾ ¯3 1 ( 3 ¾ 3 N ÀY[ 3 ¾ I¯43 1 ( À Y[ 3 ¾ ¯3 1 Z1

Page 118: of Matter/The... · 2018-12-11 · FpCr;I478E6927;>6KF ¸\^`]P-cYXiRt ^ZgX[RtM]\(M]noZgX[MON.Rts ciUVP-s¬X[W[Z·c

%R = " " h!U Z:t" 2:<",%=U%=" ?S3 ¾ ¯31 (Ro ¾ ¯3 1 À O

â f:t>ZSp3 ¾ ( 3@q#!!1 w ( 3 w N _ 3 ª 3 ¤ _ 3 ¤ 3 ª F H9 Ä:<",%=>º!2¯ o ¾ ¯ w (sr 3 1 ¯43 ¾ 3 ¾ ¯3 1 ( r 3 1 ¯f1 w Jt3 w N J »3 ¾ 1a3@q ¼ F e¯43 1

( r 3 1 ¯f1 w Jt3 w N Á Y[ 3 N ¯43 1 ( 3 3 _ ¶J À O " R%S" h¦e"|"|S R<",

3 ª ¯43 1 ( Y[ 3 3 _ ¶J _ I¯31 _ ( ( Y[ 3J 3 _ _ I¯31 _ 0 j ô

3 ¤ ¯43 1 ( Y[ 3 3 _ ¶J J G¯43 1 J ( Y[ 3 _ 3J _ G¯43 1 J O 0 j K

",.Z:<nE<"TSUfQ¯43 1 :6<ZS<>:<,<" . 9 EOOO ¯43 1 J Z1¯31 Z1h¯43 1 _ Z1 OOO

ì :tt% d",|Vå>",%u1 w Jv3 w N ( 3 w L _ 3 w M dfleG:<"|e"|"|S!º"|d" fw3 3 _ IJ wpx K " j jQ¯ ¯zy 3 3 _ l. " %?TV¯ ¯z|3 _ jâ <%!å?",>", ä ½q 0 j ôQ! 0 j K <l" 6" ½q "|V½q" í L ( 3h>5% V8f64%=",cS4%i 9 5", 9 f>5e",! :<", o ( Ju3¥",R½q" !#Rh% V` E¦%=" ?S¥h%iå 9 ",6 9f< =:6<" !j!)ZSZSE%i¦ `e½",!" i% í L J o ( ~3df¥e", ",j j|Vµ ,Z:6!5S,l 9 ",½qqdel

3 (ÂK 1 F ²1 1 F ²1 OOO 1 ( 3 1a3J 1 OOO 1Ju3 Oq 9 ",U n:<"|$"TS$½qq(3 <c",f¥D3 _ j Õ¦Ô~× Ô¨Ñ5ÝåÔ¨Ñ5áÑÓwÕ×ÞUÓåá Þ!máÝå×Ó ÞUÝUÑÔÕIÞUÔ~á.~% 9 " ¥fe:<"|d6"|S¥½q q3 :6%.:<"|¶" ¥e D3 _ ' D3 _ >" %j4´¶?h>" , t" ºf 9 t" 3 ( F j ºtf

h © v ­ w ¬ª v ­ w h ¯`D ¯ F ²1 _ F Dnz K 1

h © v ­ w ¬¤ v ­ w h ¯`D ¯ F ²1J F Dnz K O§l" >!º"|" # 9 <½qqdel" ä ½qj 0 j £º!n

3 N ( Y[ F KK J F 1 3 ª ( Y[ K K K 1 3 ¤ ( Y[ K K K 1

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â " , >:6<º!5 9 " ," ",UE" % 1 ( Y[ F L ( K K 1 M ( K JXX K 1 N ( KK J O

â " :tZV!º¦",.

h © v ¬ª v ( ¯ 1 _ nz KK

1 h © v ¬¢ ( ¯ 1 K ~z K K

1 h © v ¬¤ v ( ¯ 1 K nz KK O",$",%.U",|V:<"TU!Z:<

3 N ( Y[ K KK K KK K J 123 ª ( Y[ K KK K K K K

1u3 ¤ ( Y[ K K K K KK K

1

9 ;:<",%=),T3 L !3 M %Ue%f%?!j ÞUà å×Óå×ÓQÛ ÕÓQÛ#ÜåÖÕÔ à ÞUà ÑÓw¦Õ= 6%",!¦"|" ",:<",%=d:6¥? 9 ,a~ =VU j j

V ¥,%?6:<"|¥",5" ¥" % u W Z"T ",T1t!d"|& IP%",!#" ty, X( P _ 1qj

2:t %c:<"|U" ",UH1vR!<1w %d" !)",^ ( 1v _ 1 wj 2:t %c>" å" %¥"T "|I,lP&v6!Pw5%d",!µ",y"Ty R Z ( P&v _ Pwj 0 d" " ."| n 9 ,%?~" h Z ~!ty", ^." >¦Ey _ ( Z _ ^.j

´¶cd.!",%6<" %<c,_ (

Xv _

Xw O 0 j

= ZS< .%=%c" g!#VQ!" %?d!%cd 9 :6hf ¯ Yv1 v ¯ YBw 1 wZ1 0 j

:<",%=`:6)%Ã:<"|)!=:<+" %)åTV]» X w v 1Yv N ¼ ( » X ww 1YBw N ¼ (ÒK ),¸» Yv 1YBw o ¼ (K j84$=_ S" |V" 5" !! $" %d!_ZeEd"," 9 V.:6 ZçqZ:<å . %E" ),E" ~:6d%) &ç 9 lf%=%c" g!QV5R%" ¥e_ w !Tb N ¯ OOO b1aRj¦ l" V5¦S" 9 V 9 9 .R%=%?",g",< 6" ä ½qj 0 j, »f_ w 1Yv N ¼(ÄK !»c_ w 1YBw N ¼(ÄK ñ 6E_ w %",¦t%d" ",à X v S YBw :<" %=`%" e>," çYv L :<",%=U!<%:<"|8Yv N j ",R V4tS" 9 V4<!RZS

»f_ w 1 X w v ¼ ( »c_ w 1 X ww ¼ (ÂK 1»4b N 1

X w v ¼ ( »4b N 1X ww ¼ ( K 1

£

Page 120: of Matter/The... · 2018-12-11 · FpCr;I478E6927;>6KF ¸\^`]P-cYXiRt ^ZgX[RtM]\(M]noZgX[MON.Rts ciUVP-s¬X[W[Z·c

!dqI:6>%4 e² 5Yv _ 5YBw _ ¦f¦" ä ½qj 0 j 5",¥ %=%?" g!:<"|5<½qqde ¯ YvZ1YBw b&1aU O 0 j ¦",% S&",d",l e ",6",0kb N ( Yv N _ YBw N !¥%k (+ v _ wj~", !I. 9 , Z:<",¥%= " :<" %=$" 6 9 t l" v! wòS& ¦"TS!d>e¦",> >e",,>$òS& 9 k ",%,!",>" !%cV²j

j2

j1j1

j2

j1 j2

j1 j2+=

+

+

xm

M

m1

2

-

-

-

j b ",%U¯ v¯yRYvt!¯ w¯yRYBw ¥",aS& 9 ( " Yv _ YBwj5" > d"," ½jj b ",%b ª ( Yv ª _ YBw ª %c" µ#" 5 " 5g "|$%!tåµ d:<"|b ( Yv _ YBwjå Q ?" 4Ef ",$nDb _ :<" %=æ%Ã%f%?!S" b ¤ ( Yv ¤ _ YBw ¤ ",¥%=",!",%!Un>º cd 9 fR"," f<,Z:m½q¶",j j)0f.:<"|< ( Yv _ YBwJ " ~:6 9 !)!j<k<d%d" ",dfte. R" !:<"Tb ¤ 9 . :<"| ( Yv _ YBw .E~ nfB",¶ n!" G " d S,%e!",b ( Yv _ YBw~J j£j",I%!G" ,:6ZS%=!: ( ¯ YvEJPYBw&¯ 9 :<" %=l!%?V",~½q²l" 5Yv _ 15YBw _ 5 !hfZV% " ²HòS& .%=¶%!" h"TSRS& j

b " g" :<%d" " ¦:t<,2*Yv!PYBwRº!n|" bU:<"|5S&,b ( Yv _ YBw 1kYv _ YBwJ 1 OOO 1q¯ Yv¨J¡YBw&¯®1

",!=:<U",fl 9 j ñ ¦yqde. 9 l" R?e%c!+ p ª + r¢ \ « + p ¤ + r «

Db _ ( ,Yv _ 5YBw _ O 0 j £â f:6<ZS<",%d" " Q ]£ 9 Z",n:<"|$ 9 =" .J¤ " " n:<"TU 9 Z", J¤ 9 Z"," n:<"TU" J¤ "

¿

Page 121: of Matter/The... · 2018-12-11 · FpCr;I478E6927;>6KF ¸\^`]P-cYXiRt ^ZgX[RtM]\(M]noZgX[MON.Rts ciUVP-s¬X[W[Z·c

ÖÑ8åá;¥¶ÐÒÞ#ÔÙQÞUÓ ;nÞ4Ñ$¦ ;.×ÑÓwál%ce%f%?" h 9 f§j? 9 ,Z:<¨. ~," !QeZSj´¶ct~" , l"|9 % 9 %d" " :6", hfj = d=S 9 lf6%%!" h e "," ä ½qj 0 j

¯43v1 v§;¯3Bw1 w¨£ ¯ F ²1 _ F D© ¯ F ²1 _ F Dza¯`DDZ1¯ F ²1 _ F D© ¯ F ²1J F Dnz ¯]DDZ1¯ F ²1J F D©;¯ F ²1 _ F ]z ¯]DDZ1¯ F ²1J F D©;¯ F ²1J F Dnz ¯`DD O

j¥" fd( ( !)d e.¥º 5 9 9 . E6ZSjdq9 2 e ",)¯43v153Bw G¨1aR¯ F 1 F 1 _ ( ¯`DD O 0 j ¿

j§6" TG ¤ ( 3v ¤ _ 3Bw ¤ :6%$%f%?R<EHG _ jG ¤ ¯ F ²1 F 1 _ ( Y[ l¯ F ²1 F 1 K Z1 3v ¤ _ 3=w ¤ ¯`DD ( Y[ ¯`DD _ ¯`DD1

!5q¯ F ²1 F 1 K (

¯`DD _ ¯`DD O 0 j Å 0 " ",¥:<"|WG ¤ 6" Q" t%5",d 9 %?t6:65ZS6¥ Z:t !u=f:t<º!

¯ F ²1 F 1J ( ¯`DD O 0 j ó

jdf.:<"|< (;K " ~:6 9 !#!Ej<kd%d",E" )" 6 !V 9 !U",hZSQ&%!jµh" d!Qà 9 Q:tU ¥e",#h" 4!`" !" ä ½qj 0 j Å jµ§lUU# "|Q", 9 !V½q",",å"T<U GQ4f¯ F ²1 F 1 K <¥V¸½q" " E!G ª ( 3v ª _ 3=w ª "|SgjR|¥" ¯ F ²1 F K 1 K (

¯`DDGJįDDD O 0 j Q%S", 9 Q" R<" vªòS& eR:<"|`Ue"|"|S" j

" ¥ Vå" gd|¥" æh :<4Q.f$¯ Yv1 v«¯ YBw 1 w" !",iedZ:<R!5 d¯ YvZ1YBw b&1aU." !" id% " j jYv ' YBw jjj ¬ jjjjjj jjjjjjjjj v wjjjjjj

Å

Page 122: of Matter/The... · 2018-12-11 · FpCr;I478E6927;>6KF ¸\^`]P-cYXiRt ^ZgX[RtM]\(M]noZgX[MON.Rts ciUVP-s¬X[W[Z·c

â 2e=S%R:6ZS, ' K K K

_ F _ F _ F J F vw vwJ F _ F vw J vwJ F J F

ñ G2¦% ",<"|" n &%=çaZ!",&% 9 ¦% " H ( v _ w jl%&%",¦" <",R"T$nR%, ! 0 ,%=­!Q%%" j = ql=S¯ Yv1YBw b1aR ( p¯® r

° Yv1 vZ1YBw1 w b1amI¯ Yv1 v§;¯ YBw 1 w O 0 j ô !hÃ"T^!#eZS "|#","|fV e%U+?h 9 fQ!j b " %> 0 %=B­<!Ã%&%" <5%=& 5" SQ" j?f>e!#"T

¯ Yv1 w¨ ¯ YBw 1 wa ( ¢ ® ±° YvZ1 v1YBw 1 w b1amI¯ YvZ1YBw b1aR O 0 j K

#d% " ç¥%d" " :6", , hf6<%)çd¥ 9 fVc V`j$ 9 " %,f5¥:t,²=!º! V?fV8!ed" 9 E !U # =f.," h " %,bòS& ZS.< V?fV e%Yv ¾ _ YBw ¾ !tT¨l VcfV²jR" ¦%,!=S6e4! 9 ¨ F ' F % >", R© " R V?",% ,©G ( R>fVH?" %jl",R" R",¥",%<%",lhcf<" ä ½qj 0 j Å j= ¦:<", ¶"TS¦:tR? j6º ? " ' F F F F F F F

_ F _ F _ F J F J F J F _ _ F _ J F vx wxK _ F wx J vxK J F wx vx

J _ F vx J wxJ J F 9 " %6!!¥d",tcH," %"|< 9 ~4 %cd:<"T4" 4",Q Z"|% !UE.,h³Y ( F " !" %!¸Qê x ­ w <:<"| ( F `", !e!",Q%=" %< 9 "

´ % 1µB ( ¶ w ï * *

vv -1 ´ nh _

l¢v -1 ´ nh·

( ¶ w ï * *

wx ¢v -1 ´ vx vv -1 ´ O

%!Uc,",

ó

Page 123: of Matter/The... · 2018-12-11 · FpCr;I478E6927;>6KF ¸\^`]P-cYXiRt ^ZgX[RtM]\(M]noZgX[MON.Rts ciUVP-s¬X[W[Z·c

' K _ _ _ K K K J J J

_ _ _ K vw vwK _ vw J vw

_ J v¸ vw vxK K wx K J vx

_ J v¸ J vw vxK J vw vw

J K vw J vwJ J ",I? 9 ",R%" " ¥ 9 :6t" ",%,2:6t %c2" d :tZS " ,f>4 V? V 9 4|" :tZS 9 %?" 6:<8%",",:6µ",!" % Q h" j )", å h ",h Vc",% )?q Z:tl",fVc" % ?%j

Page 124: of Matter/The... · 2018-12-11 · FpCr;I478E6927;>6KF ¸\^`]P-cYXiRt ^ZgX[RtM]\(M]noZgX[MON.Rts ciUVP-s¬X[W[Z·c

¹ ÖÕÓQÑ º Õ9Ñ ámÕIÑá» :6ZS ¦6" f 9 t"|$8¼) ",d",%=2:6>nh",!",% ",<", t¥¯ ) R¥¯f½§.!",S,t)( Y[ ½ ¼) ¯f½© ( Y[ ½¯c½ O j ã6" `%à 9 :6=S 9 %c" ¿¾¥ % ( r% ¯ ¾ 5:6`=S %" ):<"|%d" U ",û * 1?ê + ¼ ( XZY[ Ê +¼) ¾¥ % ( JXZY[ ¾5 % O j ", l 9 e

¾ ½ % (ÀrÁ% ¯c½© (  cH Xý Sa% j " !º  h"| V " g",j V %S" t," g"," " !V" Zå ",g" ",¥:<" %=U%>>º! 9 >f" % >",5eZQ:<"|" !î " j j K y ' y î K y 3 y î ! K y 7 y î ",j j!"|V  ( F î x :6ZS 9 %c" ",9 !$ 9 ",e" " &!" %!fVµ%!"|" v

¾ ½ % ( î x ­ w c Xý S% Z1 j £:<"|½ ( ¡ F î u L 1u M 1u N Z:<" Q!"|Và 9 ER" ÅĨ=%"|S#V î F ¡ x j= ZS¦ 9 , Z:<", ", 9 ¦ :6=S "|SU" !",%?<!" %" q9 £

r ½~¯f½ è (ÄÊ ½ ® ½ É (  ¡ x Ê x ½hJƽ è f "|VH1¯ ¾ ( ½ ¯f½§ r ½~¯ ¾ ( · x Ä

¡ x  ¯f½§ r ½~¯ ¾ ÇÈ © ½ ¬ % ?1

É ( ½ ¯c½ r ½~¯ ( · x Ä ¡ x  ¯c½ r ½~¯ !"|VHB1

¼)Ã( ½ ¯c½Y[ ½ r ½¯ ( · x Ä ¡ x  ¯c½Y[ ½ r ½¯ O

ÊËÌÍ6ÎcÏaШÎfÑ«Ò`ÏÓ¨Ô¨Ð@ÕÍ6ÖPÑÏÔ@ШÎc×/ÎcÏ,Ô¨ØÙ~Ó¨Ø6×ÒÌkÎfÙÚ`ÏØ6ÌÐ2×Ï(ÕBÛÏ,ÎcÐpÜ,Ì×/×ÎfÔ¨ÜHÕ,ÔuÏBÛ,ÌÍ6ÑÏÙkÚ¨ÝfÌ×/Ì«Ø6Ì×ÏÞnØ6×Õ,×ÌØßàÏÍÎcÔ¨Ø6×Õ,Ô¨ÑÌaá5â¨ÌÍ6ÙkÎc×/ÎcÑÎc×ãÖHÏÞä×â¨ÌÙkÏ,ÙÌÔa×Ó¨ÙåÏ,ÚÌÍ/Õ,×Ï,ÍÃÍ6ÌæaÓ¨ÎfÍ6Ìا×â@Õ×eçèªçé ê ë ê2ì8í£

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<" l%>%S",TV`!5:<$ :<"|%=" 9 a%!" "

¾¥ % (îr% ¯ ¾ ( · x ½ ¡ x  r% ¯f½© r ½~¯ ¾

( · x ½ ¡ x  ? Xý S% $ï¾¥ ½yZ1 j ¿

ï¾¥ ½y (îr ½~¯ ¾ ( · x %ðr ½~¯ % rÁ% ¯ ¾ ( · x %  ? JRXý S% ¾¥ % 1 j Å

:<",%=" d 9 %uj?f â ",R 9 " j 0 %=" % 9 ," gE" ` 9,¨:6ZS2 Â ( Â ( ¡ ¤ x @=,E"|SH" ",%¶ Â ( F Â ( ] ,E"|SH" ",%j

ñ§òózô,õ ôöø÷Bóeù6ú(òûüý`þDÿkþHõ öpöz÷ò÷öõ ÷Bôòû kòk÷Bó`övôööø÷Bôkùó÷ùz÷@ù÷¨÷@þ þ !" #%$'& ( x*)+ -,/. x10 ) $324 ) ) #%$5& ( x)+ -,/. x6 0 24 ) ÷78 +:9 )<; .%=#%+ ) .

& >9?24A@ ( x )+ -,/. x6 0 ÷7B +C9 )D; . =#E+ ) . &F>9?24 @G#%+ .H ÖÜ ;nÞUÔÔ¨Ñ5áÝUÞUÓåÙå×ÓQÛ IÞ ÝåÖÕdÓQÑ ºÒÕ~9Ñ5áJIµ",R" ! 9 ;:6ZS 9 %?",S" ?", 9 2%

X % 1µB ( Y[

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 ) · x ê ( · x ê ¡ Y[ x  O j

= ZS<, 9 9 ¦< ",g" $ 9 ¦:6=Sj ?:<"T",º² !"|V  ) ¶",¶ 9 ! Ç :t~º! 9 ~,E"|SH" ",%%:<"|! (&) w F  ) · x ê ( ) w

¡ Y[ x  · ¯ ) ¯ ·²Ç ï ( ¯ ) ¯ ¡ Y[ x  · ·²Ç ï (  < · ·qÇ ï

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â ¶l "TS" " %t%:<"|J w (&) w _ w " 5Y[ (Uo¦( lG:<"|4 ",g,", Â ( F Â ¢ · x ê

¡ x D  ¢ ( R) w ¡ x D  ¢ · ¯ ) ¯ ·²Ç ï ( ¯ ) ¯

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â $" T" :<"|Q? ",%"T" =!!% ",j j ( % 1 ) 1 OOO < ,", V^f#," Q 9 9 ¯ ´ e ¤ NPO ­*QR :<¯ ´ "," =" !!µ!+" Q " 9 h" S& ½qE" ¯ ´ ( 4¯ ´ j<­<"TSæÃ","|" ~ h:te" ", "|" jk<Uff j j 9 `<:<"T ¾5 K ( ¯ ´ :< ´ " h# 9 " ft 9 :<"|)",S, EVå j¥%¯ ¾5 µB ( ¯ ´ 0 ¤ SNUTVO ­*QR !,c%?E" <S& ~ 9 .!E6c," %"||V#!e!h>" " ",!e!jjk<5 " µ$"|!`f =V ¯ ¾¥ K ( ¯ ´ v _ ¯ ´ wj%h¯ ¾5 µB( ¯ ´ ve ¤ N p O ­*QR _ ¯ ´ w0 ¤ SN r O ­*QR å¯ ¾5 µBXW ¯ ´ v _ ¯ ´ w0 ¤ © N r ¤ N p ¬ O ­*QR :<" %= !%", ,E" .",?e%c",S&,n:<"T 9 ½q%?VZY w~J 6v F Y[ j

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ì Vf"|",cH" 9 ¯ ¾¥ µB" b %=`_!" .½qE" >º!XZY[Xao ï µB ( o \ Q ï o µB o o µB0 ª cbde^-O 1 ä j

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:< Q ï o ( r ´ ï ¯Q4¯ ´ o .! ï o ( ï J o F Y[ j V lc%?! " 9 \ Q (ÂK %%" ¦" =" !!j$ E" V ¦" R ",$ 9 9 o ï µB (Uo © ¢ ¬ï µB _f\ o © v ¬ï µB _ OOO 1 ä j

!5º!t22" =!e!%R 9 >%" º%!" n!?" !hV<2¦ =:6n! XZY[gao © ª v ¬ï ( o

Q ï o µB o © ¬o µB0 ª cbde^-O O ä j £b f" t:<"T o ï K (mÊ ï >" !",E|VÃnºfl:6!R<"TS$V

o © ¢ ¬ï h (ÄÊ ï 1 ä j ¿ o © v ¬ï h (

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o © v ¬ï mh ( Q ï XY[ i¢ · µt ª cb d TjO ( J Q ï Y[ ï ª cb d TqO i¢( Q ï Y[ ï J ª cb d T i ( J ~Q ï Y[ ï ", ï h F 0 ª rb d T i

­ w 1 ä j ó!q 9 ê ( X

± © v ¬s ï h ( £6¯4Q ï ¯ wY[ w " w ï h F wï O ä j

9 %?" t ï ( ", w ï h F

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wï ( ¡ h 1 ä j ô:6<=" " w ï h F

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:6º! v± © v ¬s ï mh ( h ¡

Y[ ¯Q ï ¯ w Ê ï J ä j 9 2¦"T",U", "TVeR"TR"

a± © v ¬s ï ( ¡Y[ ¯4Q ï ¯ w Ê ï J â " H­< ! O ä j

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H ÍÏ ~Ów2ÑÔÕ ;×ÞUÓåáµÞÅ4à ÕIÑÔgº¹×k ÑÖÑ8;ÔyÞUà Õ.ÛUÓQÑ$¦×;t#åÑÖÙåá= "TSh" ," º!Ud<" " à 9 ", f4" %?",.:<"|¸,%?" %!¸c" %)º !j = å%" !4,h:tZS 9 <å% !`S%ce"

´ ( ï´ ½y1 R?G» X ½ S% J µB ¼ 1 â j ( ï ½¶1 ?G» X ½ S% J µB ¼ 1 â j

:<"| ;( ¯f½¯ o %e!" h:<"|4EV8!`Ò,E" ( ¯ ) ¯ o 9 j V |tV" %yº !¦6 :6t%:6ç>:<"Tt ~:6ZSV|:tZVlçq",U % ?+%@j?h," " #%%jµQ%e!",e=S" 9 2<,%?" %!U?" %º !.%$e<" ! 9 ;" v ( ï ½y1 RcHG» X ½ S% J µB ¼ 1 â j ( ï ½¶1 RcHG» X ½ S% J µB ¼ O â j £

:<"| ï ( JXýÅï´ _ .F]o ï ! ï ( Xý ' ï j>" %?",$ 9 I:<"|4,%?,?",%º,!U",R"|S#V o O ( · x * »  % ´ % ¶J X

% S % ¼ 1 â j ¿ :<  ! X l%=6!Q%!",f" ",jR6!" e,6=" " " GS& ",!:<h¦:tZSd, \ ( ¡ F ¯c½¯" Rd%=) nRV" %G",gd 9 < Vf j j9 6 ", \ n Å KKK% 6!å ",g n J K j¥Q%¥¥%åf" %? 9tº "TS" "

cG» X ½ S% J µB ¼ ( ¤ cbO _ Xý S% _ OOO O â j Å Ê ÌÑÕÝfÝD×â¨Õ,×

ìJ]o`| ì

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k" o O ( · x * _ Xý S%  % ï´ ½¶1 yJ _ Xý S% X % S ï ½¨1 _ OOO â j ó

( · x *  % ~ï´ ½¨1 _ Xý S%  % ~ï´ ½¨1 _ %<'

X % S X½ ' ï ½¨1 _ OOO â j

( ï´ ½¶1 yJ]¡ S ï ½¨1 ¨J£¢ S ï ½¨1 _ OOO 1 â j ô:<:t.ZS.!~XýÅï´ ( J ï _ .F`o ï !<Xý ' ï ( ï j¦l%=.!%!",f" ",l"TS",%= %c" %<!c" %!" e,

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Q"T", % ",j j  % ( ¦ Ê x % J % j â # Vfhº " %c" t !",e!6¦c",e R¦" ¦" %?",6:<"|6¦,%?",%!",e < ¡¸jH Í © à ×áá×ÞUÓ ÕÓåÙ Õ åáeÞ#Ôݦ×Þ#Ó Þ!mÔÕÙå×Õ×ÞUÓ 5ß Õ2ÞUà á!" " º !.%$e>!%" e!h:<"|:j? tS%?le"

(«ª ½¶1 o ï ¢ ½¨1 X ?G» X ½ S% J µB ¼ â j

! ´ ( K jR¦S%? ª " l% ,! ",g" jk («ª ï ¢ ?G» X ½ S% J µB ¼ 1 â j £ ( ½ '£ª¯f½~¯ ï ¢ cG» X ½ S% J µB ¼ O â j ¿

5<!",e <Z" E" ",%?" :<"TUR" R"TS$VQ µB ( J¬¡ S µB ( J¬¡ Sª ï ¢ ¤ cbO O â j Å

V T:6h=Sh¥",Z!e!4" %c" :t%Ã&%!Ã" !"TS&",à 9â " R !$,j = ",$Z:o © v ¬ï h ( r ´ ï ¯ ¡ Sª ¯ ´ ï ¢

XZY[= © b d T ¤ b ¬ i J X ï J 1 â j ó

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