标题： 介子核弹性散射在Eikonal-Glauber模型中包含介质效应 显示英文标题

标题： Pion-nucleus elastic scatterings incorporating medium effects within the Eikonal-Glauber mode

摘要： 在本次研究中，我们探讨了介子与核的弹性散射（$\pi$-$A$），主要受$\Delta$（1232）共振的影响，在Eikonal-Glauber模型中进行。 通过考虑重子的核密度（$\rho_A$）依赖质量以及强耦合常数来包含介质效应。 这些依赖关系基于夸克-介子耦合（QMC）模型计算并参数化到$\mathcal{O}(\rho_A^2)$。 对于有限核中的结合核子，采用Wood-Saxon型密度分布。 Glauber方法的元素$\pi^+$-$N$散射截面使用传统的有效拉格朗日方法确定。 随后，我们分析了与$^4$He 和$^{12}$C 靶核的弹性散射总截面。 我们的数值结果表明，对于$^4$He 靶核，与 JINR 数据有良好的一致性，准确地再现了总截面。 然而，当考虑$^{12}$C 靶核时，偏差约为$\lesssim10\%$。 我们还近似考虑了核内部的多重散射效应，使用单通道介子-重子 Bethe-Salpeter 方程，导致$\Delta$共振态的有效宽度展宽，以更好地再现数据。 显示英文摘要

摘要： In this present investigation, we explore the elastic scattering of pions with nuclei ($\pi$-$A$), primarily influenced by the $\Delta$(1232) resonance, within the Eikonal-Glauber model. The medium effects are incorporated by considering nuclear-density ($\rho_A$) dependent masses of baryons and strong coupling constants. These dependencies are computed and parameterized up to $\mathcal{O}(\rho_A^2)$ based on the quark-meson coupling (QMC) model. The Wood-Saxon type density profile is utilized for the bound nucleons within finite nuclei. The element $\pi^+$-$N$ scattering cross section for the Glauber approach is determined using the conventional effective Lagrangian method. Subsequently, we analyze the total cross sections for elastic scattering with $^4$He and $^{12}$C targets. Our numerical results demonstrate a favorable agreement with JINR data for the $^4$He target, accurately reproducing the total cross-section. However, when considering the $^{12}$C target, deviations of approximately $\lesssim10\%$. We also consider the multiple-scattering effects inside the nucleus approximately, using the single-channel meson-baryon Bethe-Salpeter equation, resulting in the effective width broadening of the $\Delta$ resonance to reproduce the data better.