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arXiv 2305.09730hep-phnucl-th
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高温下轴反常对双夸克手征伙伴结构的影响

Axial anomaly effect to the chiral-partner structure of diquarks at high temperature

Daiki Suenaga, Makoto Oka

AI总结:

利用三味 Nambu-Jona-Lasinio 模型研究有限温度与夸克化学势下双夸克手征伙伴结构,揭示 $U(1)_A$ 轴反常抑制 $[ud]$ 质量简并而对 $[su]$、$[sd]$ 影响较小。

摘要:

在有限温度和夸克化学势条件下,研究了正宇称和负宇称双夸克的质量。我们采用三味 Nambu-Jona-Lasinio 模型,以刻画双夸克的手征性质,特别是极端条件下手征伙伴的质量简并。我们重点考察 $U(1)_A$ 轴反常对手征伙伴结构显现的影响。研究发现,在双夸克不受反常效应影响时,所有 $[ud]$、$[su]$ 和 $[sd]$ 双夸克扇区中的质量简并都在手征恢复赝临界温度以上显著发生。另一方面,反常效应会阻碍 $[ud]$ 双夸克表现出质量简并,并伴随 $\ar{s}s$ 凝聚体的缓慢减小,而 $[su]$ 和 $[sd]$ 双夸克受到的影响不大。本研究将为单重重子和双重四夸克的重离子碰撞实验,以及未来双夸克的格点模拟,提供有关双夸克反常效应下手征伙伴结构的有用信息。

英文摘要:

Masses of positive-parity and negative-parity diquarks are investigated at finite temperature with a quark chemical potential. We employ the three-flavor Nambu-Jona-Lasinio model, in order to delineate chiral properties of the diquarks, in particular, the mass degeneracy of chiral partners under extreme conditions. We focus on the effects of $U(1)_A$ axial anomaly on manifestation of the chiral-partner structures. We find that, in the absence of anomaly effects to the diquarks, the mass degeneracies in all $[ud]$, $[su]$ and $[sd]$ diquark sectors take place prominently above the pseudocritical temperature of the chiral restoration. On the other hand, the anomaly effects are found to hinder the $[ud]$ diquark from exhibiting the mass degeneracy, accompanied by a slow reduction of the $\bar{s}s$ condensate, while the $[su]$ and $[sd]$ diquarks are not much affected. Our present investigation will provide useful information on the chiral-partner structure with the anomaly effects of diquarks for heavy-ion collision experiments of singly heavy baryons and doubly heavy tetraquarks, and for future lattice simulations of the diquarks.

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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