论文标题

中性介子的质谱$ k_0,\π_0,\η,\η'$在有限磁场,温度和巴属化学电位上

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

论文作者

Mei, Jie, Xia, Tao, Mao, Shijun

论文摘要

在$ su(3)$ njl模型中研究了中性介子的质谱$ k_0,π_0,π_0,η,η'$在恒定磁场的情况下,在恒定磁场的情况下进行了质谱。作为手性对称性破坏的金石玻色子,$ k_0 $梅森的质量随温度和/或夸克化学势的增加而增加,我们观察到媒体中的两种质量跳高为$ k_0 $梅森,这是由构造夸克和磁场的质量跳跃引起的。由于在磁场上$ u $和$ d $ quarks之间破坏了同胞对称性,因此发生了$π_0-η-η'$梅森的混合,这导致了其质谱的丰富结构。例如,$π_0$质量受到奇怪的夸克的影响。在高$μ$上,增加比率为$π_0$质量的增加比例的变化,消失了$ t $,$π_0$质量跳跃交叉点超过了两次有限$ t $ t $和$μ$的奇怪夸克质量的阈值。 $π_0,\η,\η'$ Mesons的质量顺序在媒体中有所不同,因为它们的质量跳跃是由组成夸克或磁场的质量跳跃引起的。

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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