Coupling Hadron-Hadron Thresholds within a Chiral Quark Model Approach
Abstract
:1. Introduction
2. The Naive Chiral Quark Model
3. The Model
4. The Unquenched Quark Model
5. Coupled Channel Effects
5.1. Isospin Breaking Effects
5.2. HQSS and HFS Breaking
5.3. Threshold Cusps
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
HQQS | Heavy Quark Spin Symmetry |
HFS | Heavy Flavor Symmetry |
PT | Chiral Perturbation Theory |
QCD | Quantum Chromodynamics |
References
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Term | J | NIST | GEM | |
---|---|---|---|---|
0 | 0.00000000 | 0.00 | ||
0 | 20.6157751334 | 20.61 | ||
1 | 21.2180230218 | 21.21 | ||
0 | 22.920317682 | 22.91 | ||
2 | 23.07407511941 | 23.07 | ||
1 | 23.0870188528 | 23.08 | ||
0 | 23.6735709133 | 23.67 | ||
2 | 23.73633535786 | 23.73 | ||
1 | 23.7420703918 | 23.74 | ||
0 | 24.0112153129 | 24.00 | ||
2 | 24.042803734930 | 24.04 | ||
1 | 24.0458007297 | 24.04 | ||
0 | 24.1911605982 | 24.18 | ||
2 | 24.209250116893 | 24.20 |
Term | J | NIST | GEM | |
---|---|---|---|---|
1 | 19.81961484203 | 19.82 | ||
2 | 20.96408720675 | 20.98 | ||
1 | 20.96409668230 | |||
0 | 20.96421916817 | |||
1 | 22.718466742 | 22.71 | ||
2 | 23.0070734673 | 23.01 | ||
1 | 23.0070761918 | |||
0 | 23.0071097475 | |||
3 | 23.07365102990 | 23.07 | ||
2 | 23.07365134140 | |||
1 | 23.07365682165 | |||
1 | 23.593959036 | 23.59 | ||
2 | 23.7078915511 | 23.71 | ||
1 | 23.7078926664 | |||
0 | 23.7079063452 | |||
3 | 23.73609051247 | 23.73 | ||
2 | 23.73609066143 | |||
1 | 23.73609295768 | |||
1 | 23.9719717413 | 23.97 | ||
2 | 24.0282253870 | 24.02 | ||
1 | 24.0282259477 | |||
0 | 24.0282328220 | |||
3 | 24.042662564819 | 24.04 | ||
2 | 24.042662644310 | |||
1 | 24.042663817021 | |||
1 | 24.1689985463 | 24.16 | ||
2 | 24.2008157776 | 24.20 | ||
1 | 24.2008160981 | |||
0 | 24.2008200312 | |||
3 | 24.209163433335 | 24.22 | ||
2 | 24.209163480258 | |||
1 | 24.209164158016 |
State | M(FD) | M(GEM) | (FD) | (GEM) | (FD) | (GEM) |
---|---|---|---|---|---|---|
2300 | 2298.5 | 0.097 | 0.0984 | 0.117 | 0.1180 | |
2473 | 2475.0 | 0.111 | 0.1116 | −0.224 | −0.2247 | |
0.134 | 0.1347 | |||||
0.494 | 0.4941 | |||||
5653 | 5649.6 | 0.043 | 0.0435 | 0.115 | 0.1169 | |
5858 | 5859.8 | 0.051 | 0.0509 | −0.280 | −0.2804 | |
0.138 | 0.1383 | |||||
0.555 | 0.5571 | |||||
2490 | 2490.9 | 0.097 | 0.0978 | −0.145 | −0.1463 | |
0.160 | 0.1617 | |||||
2700 | 2701.0 | 0.100 | 0.0999 | −0.111 | −0.1111 | |
5826 | 5824.8 | 0.045 | 0.0459 | −0.193 | −0.1951 | |
0.151 | 0.1517 | |||||
6046 | 6046.7 | 0.050 | 0.0505 | −0.164 | −0.1642 | |
3631 | 3632.2 | 0.076 | 0.0766 | −0.034 | −0.0330 | |
0.285 | 0.2852 | |||||
10,197 | 10,197.4 | 0.031 | 0.0309 | −0.128 | −0.1279 | |
0.215 | 0.2140 | |||||
3739 | 3738.7 | 0.073 | 0.0739 | 0.008 | 0.0091 | |
7023 | 7024.2 | 0.043 | 0.0430 | −0.023 | −0.0232 | |
10,271 | 10,271.3 | 0.030 | 0.0304 | −0.083 | −0.0829 | |
4806 | 4807.2 | 0.062 | 0.0619 | 0.124 | 0.1239 | |
8032 | 8030.9 | 0.038 | 0.0378 | 0.089 | 0.0891 | |
11,220 | 11,218.6 | 0.026 | 0.0264 | 0.032 | 0.0318 | |
14,370 | 14,371.8 | 0.019 | 0.0192 | −0.019 | −0.0192 |
Calculation | Pole | RS | Pole | RS |
---|---|---|---|---|
(S) | - | - | ||
(S,F) | (S,S) | |||
(S,S) | - | - | ||
(S,S,F) | (S,S,S) | |||
(S,S,S,F) | (S,S,S,S) |
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Ortega, P.G.; Entem, D.R. Coupling Hadron-Hadron Thresholds within a Chiral Quark Model Approach. Symmetry 2021, 13, 279. https://doi.org/10.3390/sym13020279
Ortega PG, Entem DR. Coupling Hadron-Hadron Thresholds within a Chiral Quark Model Approach. Symmetry. 2021; 13(2):279. https://doi.org/10.3390/sym13020279
Chicago/Turabian StyleOrtega, Pablo G., and David R. Entem. 2021. "Coupling Hadron-Hadron Thresholds within a Chiral Quark Model Approach" Symmetry 13, no. 2: 279. https://doi.org/10.3390/sym13020279