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arXiv · 2212.04778

Mass spectra of neutral mesons $K_0,\ π_0,\ η,\ η'$ at finite magnetic field, temperature and baryon chemical potential

Jie Mei·Tao Xia·Shijun Mao
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Abstract

The mass spectra of neutral mesons $K_0, π_0, η, η'$ on temperature-quark chemical potential $(T-μ)$ plane in the presence of a constant magnetic field is investigated in the $SU(3)$ NJL model. As a Goldstone boson of chiral symmetry breaking, the mass of $K_0$ meson increases with temperature and/or quark chemical potential, and we observe two kinds of mass jumps of $K_0$ meson in media, which is induced by the mass jump of constituent quarks and the magnetic field, respectively. Due to the breaking of isospin symmetry between $u$ and $d$ quarks in magnetic fields, the mixing of $π_0-η- η'$ mesons occurs and this leads to rich structures of their mass spectra. For instance, $π_0$ mass is influenced by the strange quark. There appear the change of increase ratio of $π_0$ mass at high $μ$ and vanishing $T$ and the $π_0$ mass jump crossing over the threshold of two times of strange quark mass at finite $T$ and $μ$. The mass ordering of $π_0, \ η,\ η'$ mesons varies in media, due to their mass jumps, which are induced by the mass jump of constituent quarks or the magnetic field.

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Jie Mei, Tao Xia, Shijun Mao. 2022-12-09. Mass spectra of neutral mesons $K_0,\ π_0,\ η,\ η'$ at finite magnetic field, temperature and baryon chemical potential. https://doi.org/10.1103/physrevd.107.074018

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