Nucleon mass splitting in the isospin medium

Abstract

Using the AdS/CFT correspondence, we investigate a nucleon mass splitting and nucleon-pion coupling in the isospin medium. We find that there exists a nucleon mass splitting which is exactly given by the half of the meson mass splitting because nucleon has the half isospin charge of the charged mesons. In addition, we also investigate the nucleon-pion coupling, which requires the modification of the known Abelian-type unitary gauge fixing term because non-Abelian fluctuations should be taken into account in the isospin medium. In this paper, after constructing an appropriate unitary gauge fixing term, we find that in spite of the nucleon's and meson's mass splittings, there is no nucleon-pion coupling splitting in the isospin medium.

18 pages, typos corrected

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Cited by in corpus (7)

• Nucleon's axial-vector form factor in the hard-wall AdS/QCD model
• $\rho$ meson-nucleon coupling constant from the soft-wall AdS/QCD model
• $a_1$ meson-baryon coupling constants in the framework of soft-wall and hard-wall AdS/QCD models
• Holographic Nucleons in the Nuclear Medium
• Meson effective mass in the isospin medium in hard-wall AdS/QCD model
• Properties of Holographic Mesons on Dense Medium
• Nucleon Form Factors in Nuclear Medium