论文标题
超流体中子物质状态的方程与低摩氏相互作用
Equation of state of superfluid neutron matter with low-momentum interactions
论文作者
论文摘要
在这项工作中，我们使用基于重新归一化组的低摩膜元素有效互动来计算纯中子物质的基态能量，$ v _ {\ text {low-} k} $在Bogoliubov多体型扰动理论（BMBPT）中，这是Hartree-Fock-Bogogoliubov（HFB）的触角扩展（Hfbb）（Hfb）。为了捕获中子物质的低密度行为，在$ v _ {\ text {low-} k} $相互作用中使用依赖性截止截止量是更好的。包括对HFB能量最高三阶的扰动校正。我们发现，在与中子星的内壳相对应的低密度下，包括配对的HFB状态是扰动膨胀的更好起点。可以观察到，包括高阶扰动校正，降低基态能量的截止依赖性。
In this work, we calculate the ground state energy of pure neutron matter using the renormalization group based low-momentum effective interaction $V_{\text{low-}k}$ in Bogoliubov many-body perturbation theory (BMBPT), which is a perturbative expansion around the Hartree-Fock-Bogoliubov (HFB) ground state. In order to capture the low-density behavior of neutron matter, it turns out to be better to use a density dependent cutoff in the $V_{\text{low-}k}$ interaction. Perturbative corrections to the HFB energy up to third order are included. We find that at low densities corresponding to the inner crust of neutron stars, the HFB state that includes pairing is a better starting point for perturbation expansion. It is observed that including the higher order perturbative corrections, the cutoff dependence of the ground state energy is reduced.
