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arXiv 2006.15317nucl-thastro-ph.HE
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核能密度泛函理论中中子质子混合物的卷吸效应。II。有限温度和任意电流

Entrainment effects in neutron-proton mixtures within the nuclear-energy density functional theory. II. Finite temperatures and arbitrary currents

Valentin Allard, Nicolas Chamel

摘要:

在自洽核能-密度泛函理论框架下研究了热中子-质子超流混合物中的相互卷吸效应。在均匀或非均匀核系统中的局部质量流,我们从含时的Hartree-Fock-Bogoliubov方程在有限温度下得到的,被证明有相同的形式表达,我们发现在零温度下没有配对。的夹带矩阵的解析表达式,获得应用于超流中子星的核心。结果进行了比较,以前使用朗道的理论。我们的公式,有效的任意温度和电流,适用于各种类型的泛函,包括已计算出统一的状态方程的Messels-Montreal系列,从而奠定了一个完全一致的超流中子星微观描述的基础。

英文摘要:

Mutual entrainment effects in hot neutron-proton superfluid mixtures are studied in the framework of the self-consistent nuclear energy-density functional theory. The local mass currents in homogeneous or inhomogeneous nuclear systems, which we derive from the time-dependent Hartree-Fock-Bogoliubov equations at finite temperatures, are shown to have the same formal expression as the ones we found earlier in the absence of pairing at zero temperature. Analytical expressions for the entrainment matrix are obtained for application to superfluid neutron-star cores. Results are compared to those obtained earlier using Landau's theory. Our formulas, valid for arbitrary temperatures and currents, are applicable to various types of functionals including the Brussels-Montreal series for which unified equations of state have been already calculated, thus laying the ground for a fully consistent microscopic description of superfluid neutron stars.

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