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arXiv 0810.0750nucl-thhep-ph
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有限化学势下$f_π$和$m_π$的计算

The Calculation of $f_π$ and $m_π$ at Finite Chemical Potential

Yu Jiang, Yuan-mei Shi, Hua Li, Wei-min Sun, Hong-shi Zong

摘要:

在[Y.蒋延明Shi,H. T. Feng,W.M. Sun和H.S. Zong,Phys. Rev. C { \bf 78},025214(2008)]中提出的模型夸克传播子,对有限夸克化学势下的介子-夸克顶点和介子性质进行了分析,给出了有限夸克化学势下介子弱衰变常数($f_π[μ]$)和介子质量($m_π[μ]$)的解析表达式.阿尔克塞特湾Detmold,C.S. Fischer和P. Maris,Phys. Rev. D { \bf 70},014014(2004)]。发现当$μ$低于阈值$μ_0$时(对于模型夸克传播子的$\mathrm{2CC}$、$\mathrm{1R1CC}$和$\mathrm{3R}$参数化,其分别等于$0.350 \mathrm{GeV}$、$0.377 \mathrm{GeV}$和$0.341 \mathrm{GeV}$),$f_π[μ]$和$m_π[μ]$保持其真空值不变。$μ_0$的值与模型夸克传播子的极点分布密切相关,并与阈值相吻合,在阈值以下夸克数密度完全消失。数值计算表明,当$μ$变得大于$μ_0$时,$f_π[μ]$表现出急剧减小,而$m_π[μ]$表现出急剧增大。将所得结果与文献中的结果进行了比较。

英文摘要:

Based on the previous work in [Y. Jiang, Y.M. Shi, H.T. Feng, W.M. Sun and H.S. Zong, Phys. Rev. C {\bf 78}, 025214 (2008)] on the quark-meson vertex and pion properties at finite quark chemical potential, we provide an analytical analysis of the weak decay constant of the pion ($f_π[μ]$) and the pion mass ($m_π[μ]$) at finite quark chemical potential using the model quark propagator proposed in [R. Alkofer, W. Detmold, C.S. Fischer and P. Maris, Phys. Rev. D {\bf 70}, 014014 (2004)]. It is found that when $μ$ is below a threshold value $μ_0$ (which equals $0.350 \mathrm{GeV}$, $0.377 \mathrm{GeV}$ and $0.341 \mathrm{GeV}$, for the $\mathrm{2CC}$, $\mathrm{1R1CC}$ and $\mathrm{3R}$ parametrizations of the model quark propagator, respectively.), $f_π[μ]$ and $m_π[μ]$ are kept unchanged from their vacuum values. The value of $μ_0$ is intimately connected with the pole distribution of the model quark propagator and is found to coincide with the threshold value below which the quark-number density vanishes identically. Numerical calculations show that when $μ$ becomes larger than $μ_0$, $f_π[μ]$ exhibits a sharp decrease whereas $m_π[μ]$ exhibits a sharp increase. A comparison is given between the results obtained in this paper and those obtained in previous literatures.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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