1 Description of Hadrons in the Tuebingen Chiral Quark Model Amand Faessler University of Tuebingen...
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Transcript of 1 Description of Hadrons in the Tuebingen Chiral Quark Model Amand Faessler University of Tuebingen...
1
Description of Hadrons in the
Tuebingen Chiral Quark Model
Amand FaesslerUniversity of Tuebingen
Gutsche, Lyubovitskij, Yupeng Yan, Dong,
Shen + PhD students: Kuckei, Chedket,
Pumsa-ard, Kosongthonkee,
Giacosa, Nicmorus
2
The Perturbative Chiral Quark Model
Quantum Chromodynamic (QCD)
with:
(Approximate) Symmetries:(1) P, C, T (exact)(2) Global Gauge Invariance:
(exact)for each flavor f
4
The Perturbative Chiral Quark Model
Conservation of the No quarks of flavor f:- baryon number- electric charge- Third component of Isospin- Strangeness- Charme …(3) Approximate Flavor Sym.
all the same
(4) Approximate Chiral Sym.u, d / SU(2) Isospin
6
The Perturbative Chiral Quark Model
(Effective Lagrangian)
Chiral Perturbation Theory PT)
Gluons eliminatedQuarks eliminated
Perturbative Chiral Quark Model (PχQM)
Gluons eliminatedWith Quarks
8
Chiral Invariant Lagrangian for the
Quarks SU(2 or 3) Flavor
11
The Perturbative Chiral Quark Model
(2) Non-Linear σ-Model:SU(2):
invariant since:
Invariant Lagrangian:with Scalar- and Vector-Potential.
12
The Perturbative Chiral Quark Model
with:
SU2:
SU3:
13
The Perturbative Chiral Quark Model
Seagull Term
14
The Perturbative Chiral Quark Model
Gell-Mann-Oaks-Renner relat.:
Gell-Mann-Okubo relation:
with:
Current Algebra Relations
15
The Perturbative Chiral Quark Model
NUCLEON Wave Functions and Parameters:
Quark Wave Function:
Potential:
16
The Perturbative Chiral Quark Model
17
The Perturbative Chiral Quark Model
The PION-NUCLEON Sigma Term:Gutsche, Lyubovitskij, Faessler; P. R. D63 (2001)
054026
PION-NUCLEON Scattering:
time
Weinberg-Tomozawa
18
The Perturbative Chiral Quark Model
QCD:
Proton
20
Pion (Kaon, Eta)-Nucleon Sigma-Term
21
Pion-Nucleon Sigma Term in the Perturbative
Chiral Quark Model
3q K Tot. PT
13 39 2.1 0.1 55 45(8)
1 12 .3 .02 14 15(.4)
.1 1.4 .04 .002 1.5 1.6
85 256 40 4.5 386 395
28 0 4.5 0 33
4 13 69 9.4 96
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Scalar Formfactor of the Nucleon and the
Meson Cloud
23
The Perturbative Chiral Quark Model
+ counter terms
Electromagnetic Properties of Baryons:
Tuebingen group: Phys. Rev. C68, 015205(2003); Phys. Rev. C69, 035207(2004) ….
24
Magnetic Moments and Electric and Magnetic Radii
of Protons and Neutrons
[in units of Nulear Magnetons and fm²]
3q loops Total Exp.
1.8 0.80 2.60 2.79
-1.2 -0.78 -1.98 -1.91
0.60 0.12 0.72 0.76
0 -.111 -.111 -.116
0.37 0.37 0.74 0.74
0.33 0.61 1.89 1.61
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Helicity Amplitudes for N – Transition at the Photon Point Q² = 0
A(1/2 ) A(3/2)
3quarks -78.3 -135.6
Loops
(ground q)-32.2 -55.7
Loops
(excited)-19.6 -33.9
Total -130 (3.4) -225 (6)
Exp[10**(-3) GeV**(-1/2) -135 (6) -255 (8)
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Strangeness in the Perturbative Chiral
Quark Model
Proton
29
Strange Magnetic Moment and Electric and Magnetic Strange Mean
Square Radii
Approach
QCD Leinweber I
-0.16 (0.18)
QCD Leinweber II
-0.051 (0.021)
QCD
Dong-0.36 (0.20)
-0,16 (0.20)
CHPT Meissner
0.18 (0.34)
0.05 (0.09)
-0.14
NJL Weigel 0.10 (0.15)
-0,15 (0.05)
CHQSM Goeke
0.115 -0.095 0.073
CQM Riska -0.046 ~0.02
PCHQM -0.048 (0.012)
-0.011 (0.003)
0.024
(.003)
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Strangeness in the nucleon E. J. Beise et al. Prog. Part. Nucl. Phys. 54(2005)289 F. E. Maas et al. Phys. Rev. Lett. 94 (2005) 152001
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Strangeness in the Nucleon
Approach
Q²[GeV²/c²]Gs(0.1)
SAMP §
Gs(0.48)
HAPP §
Gs(0.23)
Mainz*
PTMeissner
0.023 (0.44)
0.023 fit
(0.048)
0.007
(0.127)
Skyrme
Goeke
0.09 0.087
(0.016)
0.14
(0.03)
Riska -0.06 -0.08
PQM -0.04
(0.01)
0.0018
(.0003)
0.00029
(.00005)
EXP 0.23 §
(0.76)
.025 §
(.034)
*
F. E. Maas et al. Phys. Rev. Lett. 94 (2005) 152001*
E. J. Beise et al. Prog. Part. Nucl. Phys. 54(2005)289 §
33
Compton Scattering N -> ´+ N´
and electric and magnetic Polarizabilities of the Nucleon.
Exp: Schumacher Prog. Part. Nucl. Phys. to be pub.55(2005)
35
Compton Scattering Diagrams for electric and magnetic Polarizabilities
36
Compton Scattering diagrams for Spin Polarizabilities
37
Electric and Magnetic Polarizabilities of the Nucleon [10**(-4) fm^3]
(p,E) (p, (n,E) (n,M)
DATA10**(-4) fm^3Schumacher
12.0
(0.6)
1.9
(0.6)
12.5
(1.7)
2.7
(1.8)
CHPTMeissner
7.9 -2.3 11.0 -2.0
CHPTBabusci
10.5
(2.0)
3.5
(3.6)
13.6
(1.5)
7.8
(3.6)
CHPTHemmert
12.6 1.26 12.6 1.26
CHPTLvov
7.3 -1.8 9.8 -0.9
PCQMTuebingen
10.9 5.1 10.9 1.15
39
The Perturbative Chiral Quark Model
SUMMARYTheory of Strong Interaction:
Effective Lagrangian with correct chiral Symmetry without Gluons
with QuarksPerturbative Chiral Quark Model
40
The Perturbative Chiral Quark Model
(Effective Lagrangian)
Chiral Perturbation Theory:
Gluons eliminatedQuarks eliminated
Perturbative Chiral Quark Model (PχQM)
Gluons eliminatedWith Quarks
41
Chiral Invariant Lagrangian for the
Quarks SU(2 or 3) Flavor
42
The Perturbative Chiral Quark Model
(2) Non-Linear σ-Model:SU(2):
invariant since:
Invariant Lagrangian:with Scalar- and Vector-Potential.
43
The Perturbative Chiral Quark Model
With:
Current Algebra
48
The Perturbative Chiral Quark Model
Radii and Magnetic Moments of p, n
Electric and Magnetic p,n Form factors
Strangeness in N
π-Nucleon-σ Term
Electric and Magnetic Polarizabilities of the Nucleon
The End
Two Parameters only: <r²>, g(A)