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arXiv 1401.7858hep-phnucl-th
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密重子物质的隐局域对称性方法

Dense baryonic matter in the hidden local symmetry approach

Yong-Liang Ma

摘要:

采用Skyrme模型,从隐局域对称性方法引入基态矢量介子,直至次至首阶,模拟了介质中稠密重子物质和强子的性质.我们发现,$ρ$和$ω$介子对重子物质和介质修正强子性质都有显著的影响.最值得注意的是,介子衰变常数和核子质量具有相似的密度依赖性,这与大的$N_c$论点一致。可以解释的是,它们在Skyrmion相中随着密度的增加而下降,并在$n_{1/2}^{}$处停止下降,在该点处介质中的Skyrmion分裂成半Skyrmion,并在半Skyrmion相中保持几乎恒定。这种半skyrmion相的密度依赖性表明,虽然平均而言,在这个阶段的$\langle \bar{q}q\rangle \neq 0$,手征对称性没有恢复,因为强子仍然是有质量的,并存在π介子。此外,核子质量几乎不变意味着它可能具有直到手征跃迁的非零分量,这可能揭示核子质量的起源。

英文摘要:

The dense baryonic matter and hadron properties in medium were simulated by using a Skyrme model including the ground state vector mesons introduced from the hidden local symmetry approach up to the next to leading order. We found that both the $ρ$ and $ω$ mesons affect the baryonic matter and medium modified hadron properties dramatically. The most remarkable observation is that, the pion decay constant and the nucleon mass have the similar density dependence which agrees with the large $N_c$ argument. Explicitly, they drop with increasing density in the Skyrmion phase and stop decreasing at $n_{1/2}^{}$ at which the skyrmions in medium fractionize into half-skyrmions and remains nearly constants in the half-skyrmion phase. This density dependence in the half-skyrmion phase indicates that, although $\langle \bar{q}q\rangle \neq 0$ on average in this phase, chiral symmetry is not restored since hadrons are still massive and there exist pions. In addition, the nearly constant nucleon mass means that it could has a non-vanishing component up to the chiral transition, which might shed light on the origin of the nucleon mass.

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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