THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
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The 't Hooft Coupling and Baryon Mass Splitting in the Large-Nc Quark Model |
JIA Duo-Jie**, ZHANG Jia-Shen |
Institute of Theoretical Physics, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070 |
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Cite this article: |
JIA Duo-Jie, ZHANG Jia-Shen 2015 Chin. Phys. Lett. 32 111201 |
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Abstract We study the 't Hooft coupling gt and the mass splitting of the ground-state baryons in terms of the large Nc-inspired quark model, by which the Hartree wavefunctions of light quarks are obtained. By fitting the spectra of decuplet and octet baryons, we obtain the 't Hooft coupling gt to be around 1.57. We generalize the scenario to the case of heavy baryons, such as Λc, gt values which does not deviate much from 1.57, as well as to the case of mesons with gt far from that for baryons. The consequence is discussed.
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Received: 05 July 2015
Published: 01 December 2015
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PACS: |
12.39.Ki
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(Relativistic quark model)
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11.15.Pg
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(Expansions for large numbers of components)
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14.20.-c
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(Baryons (including antiparticles))
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11.10.Lm
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(Nonlinear or nonlocal theories and models)
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[1] 't Hooft G 1974 Nucl. Phys. B 72 461
[2] Witten E 1979 Nucl. Phys. B 160 57
Witten E 1979 Nucl. Phys. B 149 285
[3] Coleman S R 1979 1/N in the proceedings of the 1979 Erice School of Subnuclear Physics (Erice, Italy July 31–August 11 1979)
[4] Dashen R and Manohar A V 1993 Phys. Lett. B 315 425
1993 Phys. Lett. B 315 438
[5] Luty M A and March-Russell 1994 Nucl. Phys. B 71 426
[6] Carone C, Georgi H and Osofsky S 1994 Phys. Lett. B 322 227
[7] Pirjol D and Yan T M 1998 Phys. Rev. D 57 1449
Pirjol D and Schat C 2003 Phys. Rev. D 67 096009
[8] Schat C L, Goity J L and Scoccola N N 2002 Phys. Rev. Lett. 88 102002
[9] Teper M J 1998 arXiv:hep-th/9812187
Teper M J 1997 Phys. Lett. B 397 223
[10] Lucini B and Teper M 2002 Phys. Rev. D 66 097502
[11] Del Debbio L, Panagopoulos H, Rossi P and Vicari E 2002 J. High Energy Phys. 0201 009
[12] Lucini B and Panero M 2013 Phys. Rep. 526 93
[13] Manohar A V 1984 Nucl. Phys. B 248 19
Jenkins E and Manohar A V 2004 Phys. Rev. Lett. 93 022001
[14] Bali G S 2001 Phys. Rep. 343 1
[15] Capstick S and Isgur N 1986 Phys. Rev. D 34 2809
Godfrey S and Isgur N 1985 Phys. Rev. D 32 189
[16] De Rujula A, Georgi H and Glashow S L 1975 Phys. Rev. D 12 147
[17] Sakurai J J 1967 Advanced Quantum Mechanics (MA: Addison-Wesley)
[18] Greenberg O W and Lipkin H J 1981 Nucl. Phys. A 370 349
[19] Richard J M 1981 Phys. Lett. B 100 515
Stanley D P and Robson D 1980 Phys. Rev. Lett. 45 235
[20] Brown G E and Rho M 1979 Phys. Lett. B 82 177
Myhrer, Brown G E and Xu Z 1981 Nucl. Phys. A 362 317R
[21] Dashen F, Jenkins E E and Manohar A V 1995 Phys. Rev. D 51 3697
[22] Jenkins E 1993 Phys. Lett. B 315 431
[23] Jenkins E 1993 Phys. Lett. B 315 441
[24] Adkins G S, Nappi C R and Witten E 1983 Nucl. Phys. B 228 552
[25] Callan C and Klebanov I 1985 Nucl. Phys. B 262 365
[26] Gasiorowicz S and Rosner J L 1981 Am. J. Phys. 49 954
[27] Klebanov I 1989 Strangeness in the Skyrme model, in Proceedings of the NATOASI on Hadron and Hadronic Matter ed Vautherin D, Lenz F, Negele J
[28] Shuryak E V and Rosner J L 1989 Phys. Lett. B 218 72
[29] Olive K A et al 2014 Chin. Phys. C 38 090001 |
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