论文标题

陌生性$ s = -2 $ BARYON -BARYON互动和featsoscopic相关功能在协方差手性效果理论中

Strangeness $S = -2$ baryon-baryon interactions and femtoscopic correlation functions in covariant chiral effective field theory

论文作者

Liu, Zhi-Wei, Li, Kai-Wen, Geng, Li-Sheng

论文摘要

我们研究了与陌生性$ s = -2 $的巴里昂 - 巴里昂相互作用,并在领导顺序协变性手性效果理论中的相应动量相关功能。相关的低能常数是通过拟合最新的HAL QCD模拟来确定的,考虑到所有耦合通道。将所谓的强相互作用推到物理点并考虑量子统计效应和库仑相互作用,我们计算了$λλ$和$λλ$和$ξ^-p $相关性与球形高斯源的功能,并将它们与最近的实验数据进行比较。我们发现,通过使用质子 - 普罗顿相关性确定的源半径,我们的预测与实验测量之间存在显着的一致性,这证明了理论,实验和晶格QCD模拟之间的一致性。此外,我们预测$σ^+σ^+$,$σ^+λ$,以及$σ^+σ^ - $交互和相应的动量相关功能。我们进一步研究了强子对研究所研究的相关函数的源形状和大小的影响,并表明当前数据对源形状不太敏感。预测的动量相关函数的未来实验测量将不仅提供SU(3)风味对称性及其破裂的非平地测试,而且还提供了在协变量手性有效田间理论中得出的Baryon-Baryon相互作用。

We study the baryon-baryon interactions with strangeness $S = -2$ and corresponding momentum correlation functions in leading order covariant chiral effective field theory. The relevant low energy constants are determined by fitting to the latest HAL QCD simulations, taking into account all the coupled channels. Extrapolating the so-obtained strong interactions to the physical point and considering both quantum statistical effects and the Coulomb interaction, we calculate the $ΛΛ$ and $Ξ^-p$ correlation functions with a spherical Gaussian source and compare them with the recent experimental data. We find remarkable agreement between our predictions and the experimental measurements by using the source radius determined in proton-proton correlations, which demonstrates the consistency between theory, experiment, and lattice QCD simulations. Moreover, we predict the $Σ^+Σ^+$, $Σ^+Λ$, and $Σ^+Σ^-$ interactions and corresponding momentum correlation functions. We further investigate the influence of the source shape and size of the hadron pair on the correlation functions studied and show that the current data are not very sensitive to the source shape. Future experimental measurement of the predicted momentum correlation functions will provide a non-trivial test of not only SU(3) flavor symmetry and its breaking but also the baryon-baryon interactions derived in covariant chiral effective field theory.

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