arXiv 2510.093372025-10nucl-th

同位旋不对称核介质中核子-核子非弹性截面的温度依赖性

Temperature dependence of the nucleon-nucleon inelastic cross section in an isospin-asymmetric nuclear medium

School of Science, Huzhou University（湖州学院理学院）；Institute of Modern Physics, Chinese Academy of Sciences（中国科学院近代物理研究所）；School of Nuclear Science and Technology, University of Chinese Academy of Sciences（中国科学院大学核科学与技术学院）；School of Nuclear Science and Engineering, Shenyang Institute of Engineering（沈阳工程学院核科学与工程学院）

Manzi Nan, Pengcheng Li, Guojun Wei, Xilong Xiang, Wei Zuo, Qingfeng Li

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AI总结：

本研究在RBUU框架下采用两种相对论平均场参数化方案，探究同位旋对称与不对称核介质中Δ粒子产生截面的温度依赖性，明确了密度、同位旋不对称度对该依赖性的影响，为输运模型改进及天体物理相关研究提供参考。

摘要：

核子-核子（$NN$）非弹性截面在约束高重子密度下的核状态方程以及描述致密天体物理天体的形成与演化方面发挥着重要作用。本研究在自洽的相对论性Boltzmann-Uehling-Uhlenbeck（RBUU，相对论玻尔兹曼-乌林-乌伦贝克）框架内，研究了同位旋对称与不对称核介质中$Δ^{++}$和$Δ^{-}$产生截面的温度$T$依赖性。研究采用了两种相对论平均场参数化方案：密度依赖型参数化方案（称为DD-ME$δ$）和非线性依赖型参数化方案（称为OMEG）。两种参数化方案得出的温度相关重子有效质量和质量分裂结果相近，不过OMEG参数组表现出更强的密度依赖性，尤其是在更高密度（$> 1.5ρ_{0}$）下。因此，在较低密度下，两种参数组的$Δ^{++}$和$Δ^{-}$产生截面的能量、密度、温度及同位旋依赖性均相当；而在较高密度下，OMEG参数组预测出更强的温度与密度敏感性。此外，$NN$非弹性截面的温度依赖性随密度升高而增强，但与同位旋对称核物质相比，其在同位旋不对称核物质中会受到抑制。截面的同位旋依赖性在小不对称度下几乎与温度无关，但在高度不对称的系统中会变得更为复杂。这些发现为改进输运模型中与$Δ$相关的动力学过程的热学处理提供了有价值的测试输入，也为理解$Δ$在核心坍缩超新星、双中子星并合等天体物理环境中的行为提供了见解。

英文摘要：

The nucleon-nucleon ($NN$) inelastic cross section plays an important role in constraining the nuclear equation of state at high baryon density and in describing the formation and evolution of compact astrophysical objects. In this study, the temperature $T$ dependence of the $Δ^{++}$ and $Δ^{-}$ production cross sections in the isospin-symmetric and -asymmetric nuclear medium is investigated within the self-consistent and relativistic Boltzmann-Uehling-Uhlenbeck (RBUU) framework. Two relativistic mean-field parameterizations are employed: the density-dependent parameterization (called DD-ME$δ$) and the nonlinear-dependent parameterization (called OMEG). Both parameterizations yield similar $T$-dependent baryon effective masses and mass splittings, although the OMEG set exhibits a stronger density dependence, particularly at higher densities ($> 1.5ρ_{0}$). Consequently, at lower densities, the energy, density, temperature, and isospin dependence of both $Δ^{++}$ and $Δ^{-}$ production cross sections are comparable for both sets, whereas at higher densities, the OMEG set predicts a stronger temperature and density sensitivity. Moreover, the $T$ dependence of the $NN$ inelastic cross section is enhanced with increasing density, but is suppressed in isospin-asymmetric nuclear matter compared to that in isospin-symmetric nuclear matter. The isospin dependence of the cross section remains nearly $T$-independent at small asymmetries, yet becomes more intricate in highly asymmetric systems. These findings provide valuable testing inputs for improving the thermal treatment of $Δ$ related dynamical processes in transport models and offer insights into the behavior of $Δ$ in astrophysical environments, such as core-collapse supernovae and binary neutron star mergers.

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