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Three quarks for Muster Mark! Sure he hasn't got much of a bark And sure any he has it's all beside...
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Transcript of Three quarks for Muster Mark! Sure he hasn't got much of a bark And sure any he has it's all beside...
![Page 1: Three quarks for Muster Mark! Sure he hasn't got much of a bark And sure any he has it's all beside the mark. But O, Wreneagle Almighty, wouldn't.](https://reader037.fdocuments.us/reader037/viewer/2022110206/56649f545503460f94c78a50/html5/thumbnails/1.jpg)
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Three quarks for Muster Mark!
Sure he hasn't got much of a bark And sure any he has it's all beside the mark. But O, Wreneagle Almighty, wouldn't un be a sky of a lark To see that old buzzard whooping about for uns shirt in the dark And he hunting round for uns speckled trousers around by Palmerstown Park? Hohohoho, moulty Mark!
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es
ed
eu
31:
31:
32:
66
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isospind
u
n
p
symmetrySU
s
d
u
)3(
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quantum numbers of quarks
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)( ud)( du
)( us)( ds
)( su )( sd
)( uu
)( dd)( ss
14
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o
16
oK K
Ko
K
MeV892
MeV892
MeV783 MeV1020
MeV775
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gGell-Mann - Okubo mass formula
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s
s
s
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...)( brgbgr uuuuuu
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quark modelquark model
triangle diagram - good agreement with experiment
steinberger0
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factor 9 too small in decay rate
0
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Elektromagnetic pion decay:
color quantum number =>factor 3 in amplitude, factor 9 in rate - very good agreement betweentheory and experiment.
0 q
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Electron – positron- annihilation
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3/2)3/1()3/1()3/2( 222 R
quark model:
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b-flavored hadronscharmed hadrons
R
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quarks with color:
23/23
))3/1()3/1()3/2((3 222
R
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35
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deep inelastic scatteringdeep inelastic scattering
electron
proton
variables:
Q2 = 4 E E’ sin2/2
x = Q2 /2Mp(E’– E)
E
E’
photon
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38
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scaling behaviour of cross section
2)(),(
2
222
2
qFxFqW
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probability that a quark carries probability that a quark carries fractionfraction of parent protonof parent proton’’s s momentum ismomentum is qq(() ) ((0< 0< < 1< 1), then), then
...)(9
1)(
9
4)(2 xdxxuxxF
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45
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current commutators near the light cone are
abstracted from the
free quark model
explains scaling behaviour of cross sections
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SU(3) x SU(2)
u,d,s spin
SU(6)
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)
222(
)(
duuuuduud
uduududuu
uudududuu
p
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J
2
1
3
2)0444(
18
1
2
1 pp u
6
1)2/63)2/1(4(
18
1
2
1 pp d
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3/2)2/1(
6/1)2/1(
nn
nn
d
u
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qq q
qq m
eeqp
2
1)()()(
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qdu
q m
e
m
ep
22
1
3
1
2
1
3
2)(
Np 79.2)(
MeVmq ...336
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qq m
e
m
en
23
2
3
2
3
1)
6
1(
3
2)(
50.12/3)(/)( np
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ss m
e
m
e
2)3/1()2/1()3/1()(
s
du
m
mp ,)3/1()(/)(
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u, d, s,: light quarks
Electron=positron annihilation: production of the J/psi resonance
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/J
ccJ /
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sd
cu
4 quarks
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D(+): 1870 MeV
D(0): 1865 MeV
D(s): 1968 MeV
Weak decays: c s,d
cs
cu
cd
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charmed baryons MeVudcc 2286
MeVddc
MeVudc
MeVuuc
c
c
c
2454
2453
2454
0
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MeVssc
MeVdsc
MeVusc
c
c
c
2695
2471
2468
0
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b-quark:
1977 FNAL
bbY 3
1)( bQ
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FNAL
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Weak decays: c s,d
MeVsbB
MeVdbB
MeVubB
s 5366
5280
5279
0
B-mesons
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b-flavored baryons MeVudbb 5620
MeVssb
MeVqqb
MeVqqc
duq
b
b
b
6070
5790
5620
/:
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6 quarks?
b
t
s
c
d
u
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b
t
s
c
d
u