Holographic meson mass splitting in the Nuclear Matter

Abstract

We study the holographic light meson spectra and their mass splitting in the nuclear medium. In order to describe the nuclear matter, we take into account the thermal charged AdS geometry with two flavor charges, which can be reinterpreted as the number densities of proton and neutron after some field redefinitions. We show that the meson mass splitting occurs when there exists the density difference between proton and neutron. Depending on the flavor charge, the mass of the positively (negatively) charged meson increases (decreases) as the density difference increases, whereas the neutral meson mass is independent of the density difference. In the regime of the large nucleon density with a relatively large number difference between proton and neutron, we find that negatively charged pion becomes massless in the nuclear medium, so the pion condensate can occur. We also investigate the binding energy of a heavy quarkonium in the nuclear medium, in which the binding energy of a heavy quarkonium becomes weaker as the density difference increases.

22 pages, 5 figures, references added

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Cited by in corpus (19)

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• Nucleon's axial-vector form factor in the hard-wall AdS/QCD model
• Pion quasiparticles and QCD phase transitions at finite temperature and isospin density from holography
• Logarithmic Corrections to the Entanglement Entropy
• $\rho$ meson-nucleon coupling constant from the soft-wall AdS/QCD model
• Pion condensation in a soft-wall AdS/QCD model
• A Massive Quasi-normal Mode in the Holographic Lifshitz Theory
• Equation of state in the pion condensation phase in the asymmetric nuclear matter using a holographic QCD model
• $a_1$ meson-baryon coupling constants in the framework of soft-wall and hard-wall AdS/QCD models
• Nucleon mass splitting in the isospin medium
• Holographic Nucleons in the Nuclear Medium
• Conductivities in an anisotropic medium
• Meson effective mass in the isospin medium in hard-wall AdS/QCD model
• Notes on the holographic Lifshitz theory
• Holographic renormalization in dense medium
• Properties of Holographic Mesons on Dense Medium
• Nucleon Form Factors in Nuclear Medium
• Thermal Width of Quarkonium from Holography