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arXiv 2507.02448nucl-thastro-ph.HEhep-phnucl-ex
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用于输运模型和中子星的扩展动量依赖相互作用

Extended momentum-dependent interaction for transport models and neutron stars

Si-Pei Wang, Lie-Wen Chen

备注：
29 pages, 13 figures, 4 Tables. Title modified, presentation improved and discussions added. Accepted version to appear in PRC
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AI总结：

本文扩展MDI模型为MDI3Y模型，引入多项动量与密度依赖项，构建多种相互作用，用于研究中子星及核物质性质，并助力输运模型提取EOS与有效质量劈裂。

摘要：

动量依赖相互作用（MDI）模型已被广泛用于重离子碰撞（HICs）的微观输运模型中，现将其扩展为包含三个不同的动量依赖项和三个零程密度依赖项，称为MDI3Y模型。与MDI模型相比，MDI3Y模型中的单核子势展现出更灵活的动量依赖行为。此外，加入三个零程密度依赖相互作用遵循费米动量展开的思想，使得核物质状态方程（EOS）中高度不确定的高密度行为，尤其是对称能，能够更灵活地变化。我们还通过有限程交换相互作用的密度矩阵展开，获得了相应的类Skyrme能量密度泛函。基于MDI3Y模型，我们通过拟合经验核子光学势、对称核物质的经验性质、纯中子物质EOS的微观计算以及中子星的天体物理约束，构建了四个具有相同对称能斜率参数$L=35$ MeV但$U_{\mathrm{sym}}$动量依赖不同的相互作用。此外，还构建了$L=55$和$75$ MeV的两个相互作用以作比较。利用这些MDI3Y相互作用，我们研究了核物质和中子星的性质。这些MDI3Y相互作用，尤其是那些具有非单调$U_{\mathrm{sym}}$动量依赖的相互作用，将可能有助于输运模型分析HICs数据，以提取核物质EOS和核子有效质量的同位旋劈裂。

英文摘要：

The momentum-dependent interaction (MDI) model, which has been widely used in microscopic transport models for heavy-ion collisions (HICs), is extended to include three different momentum-dependent terms and three zero-range density-dependent terms, dubbed as MDI3Y model. Compared to the MDI model, the single-nucleon potential in the MDI3Y model exhibits more flexible momentum-dependent behaviors. Furthermore, the inclusion of three zero-range density-dependent interactions follows the idea of Fermi momentum expansion, allowing more flexible variation for the largely uncertain high-density behaviors of nuclear matter equation of state (EOS), especially the symmetry energy. Moreover, we also obtain the corresponding Skyrme-like energy density functional through density matrix expansion of the finite-range exchange interactions. Based on the MDI3Y model, we construct four interactions with the same symmetry energy slope parameter $L=35$ MeV but different momentum dependence of $U_{\mathrm{sym}}$, by fitting the empirical nucleon optical potential, the empirical properties of symmetric nuclear matter, the microscopic calculations of pure neutron matter EOS and the astrophysical constraints on neutron stars. In addition, two interactions with $L=55$ and $75$ MeV are also constructed for comparison. Using these MDI3Y interactions, we study the properties of nuclear matter and neutron stars. These MDI3Y interactions, especially those with non-monotonic momentum dependence of $U_{\mathrm{sym}}$, will be potentially useful in transport model analyses of HICs data to extract nuclear matter EOS and the isospin splitting of nucleon effective masses.

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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