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arXiv 2304.08786hep-phhep-lat
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π-K散射振幅与有限温度下的$K^0(700)$和$K^*(892)$共振态

The pion-kaon scattering amplitude and the $K^0(700)$ and $K^*(892)$ resonances at finite temperature

Angel Gómez Nicola, Jacobo Ruiz de Elvira, Andrea Vioque-Rodríguez

AI总结:

本文在有限温度下完整计算π-K散射振幅,推广逆振幅方法以幺正化振幅,得到$K_0^*(700)$和$K^*(892)$极点热演化,并揭示前者对同位旋1/2标量磁化率及QCD手征与$U(1)_A$恢复的关键作用。

摘要:

我们在有限温度下对手征微扰论中的π-K散射振幅进行了完整计算,特别关注振幅的解析结构以及与零温情形的主要差异。我们还将逆振幅方法推广到有限温度下不等质量散射过程,从而能够对振幅进行幺正化,并获得$K_0^*(700)$和$K^*(892)$极点参数的热演化。作为我们分析的直接应用,我们表明$K_0^*(700)$共振态的热演化对于解释同位旋$I=1/2$的标量磁化率行为至关重要,而这又直接与QCD相图的chiral和$U(1)_A$恢复性质相关。

英文摘要:

We perform a complete calculation of the pion-kaon scattering amplitude in Chiral Perturbation Theory at finite temperature, paying particular attention to the analytic structure of the amplitude and the main differences with respect to the zero temperature case. We also extend the Inverse Amplitude Method at finite temperature for unequal-mass scattering processes, which allows us to unitarize the amplitude and obtain the thermal evolution of the $K_0^*(700)$ and $K^*(892)$ pole parameters. As a direct application of our analysis, we show that the thermal evolution of the $K_0^*(700)$ resonance is crucial to explain the behavior of the scalar susceptibility for isospin $I=1/2$, which in turn, is directly connected with chiral and $U(1)_A$ restoration properties of the QCD phase diagram.

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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