Chin. Phys. Lett.  2015, Vol. 32 Issue (11): 111201    DOI: 10.1088/0256-307X/32/11/111201
THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
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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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.

Received: 05 July 2015      Published: 01 December 2015
PACS:  12.39.Ki (Relativistic quark model)  
  11.15.Pg (Expansions for large numbers of components)  
  14.20.-c (Baryons (including antiparticles))  
  11.10.Lm (Nonlinear or nonlocal theories and models)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/32/11/111201       OR      https://cpl.iphy.ac.cn/Y2015/V32/I11/111201
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