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arXiv 2308.09397hep-phnucl-exnucl-th
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用于估算含奇异夸克的介质中夸克凝聚的$K^+ N$弹性散射

$K^+ N$ elastic scatterings for estimation of in-medium quark condensate with strange quarks

Yutaro Iizawa, Daisuke Jido, Stephan Hübsch

AI总结:

本研究利用手征微扰论构建低能$K^+N$散射振幅并延拓至软极限,以估算核介质中的奇异夸克凝聚。

摘要:

我们在含奇异夸克的介质中夸克凝聚背景下重新考察低能$K^+N$弹性散射。手征Ward恒等式将介质中夸克凝聚与在核物质中计算的赝标关联函数的软极限值联系起来。具有奇异数的赝标场的介质中关联函数描述介质内kaon传播,并在低密度近似下由kaon–核子散射振幅获得。我们在手征微扰论中构建直至次领头阶的kaon–核子散射振幅,并加入一些含奇异夸克质量的次次领头阶项,以改进奇异夸克部分的展开。我们还考虑了先前研究所报告的、在$I=0$时位于$P_\mathrm{lab}=600$ MeV/c附近的可能宽共振态的影响。低能常数由现有$K^+N$散射数据确定。我们通过手征微扰论很好地再现了$K^+p$散射振幅,而由于低能数据不足,对$I=0$的$KN$振幅的描述并不十分令人满意。将手征微扰论得到的散射振幅解析延拓至软极限,我们估算了介质中奇异夸克凝聚。

英文摘要:

We revisit the low-energy $K^+N$ elastic scatterings in the context of the in-medium quark condensate with strange quarks. The chiral ward identity connects the in-medium quark condensate to the soft limit value of the pseudoscalar correlation function evaluated in nuclear matter. The in-medium correlation function of the psuedoscalar fields with strangeness describes in-medium kaon propagation and is obtained by kaon-nucleon scattering amplitudes in the low density approximation. We construct the kaon-nucleon scattering amplitudes in chiral perturbation theory up to the next-to-leading order and add some terms of the next-to-next-to-leading order with the strange quark mass to improve expansion of the strange quark sector. We also consider the effect of a possible broad resonance state around $P_\mathrm{lab} = 600$ MeV/c for $I=0$ reported in the previous study. The low energy constants are determined by existent $K^+N$ scattering data. We obtain good reproduction of the $K^+p$ scattering amplitude by chiral perturbation theory, while the description of the $KN$ amplitude with $I=0$ is not so satisfactory due to the lack of low energy data. Performing analytic continuation of the scattering amplitudes obtained by chiral perturbation theory to the soft limit, we estimate the in-medium strange quark condensate.

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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