论文标题

使用统一相关算子和高摩托姆对方法的中子物质的有限粒子数描述

Finite particle number description of neutron matter using the unitary correlation operator and high-momentum pair methods

论文作者

Wan, Niu, Myo, Takayuki, Xu, Chang, Toki, Hiroshi, Horiuchi, Hisashi, Lyu, Mengjiao

论文摘要

通过使用裸露的Argonne V4'(AV4'),V6'(AV6')和V8'(AV8')核子 - 核子(NN)相互作用,用于中子物质的状态核方程(EOSS)的核方程是用单位相关操作员和高度符号对方法计算的。中子物质在有限的粒子方法方法下用魔术数$ n = 66 $在周期性的边界条件下描述。来自NN相互作用中短距离排斥的中心短距离相关性通过单位相关算子方法(UCOM)处理以及张量相关性和旋转轨道效应来描述两颗颗粒的两孔(2P2H)激励,核子对,在两个核子中,具有大相对动量的两个核子是高度的较高量。随着2P2H配置的增加,在此UCOM+HM框架下,中子物质的总能量良好。通过比较与AV4',AV6'和AV8'NN相互作用计算的结果,短距离相关性的影响,张量相关性以及自旋轨道偶联对中性物质总粒子总能量的密度依赖性。此外,讨论了每个哈密顿成分对每个粒子总能量的贡献。在当前UCOM+HM框架中计算的中子物质的EOSS与六种不同显微体多体型理论的计算一致,尤其是与辅助场扩散蒙特卡洛计算一致。

By using bare Argonne V4' (AV4'), V6' (AV6'), and V8' (AV8') nucleon-nucleon (NN) interactions respectively, the nuclear equations of state (EOSs) for neutron matter are calculated with the unitary correlation operator and high-momentum pair methods. The neutron matter is described under a finite particle number approach with magic number $N=66$ under a periodic boundary condition. The central short-range correlation coming from the short-range repulsion in the NN interaction is treated by the unitary correlation operator method (UCOM) and the tensor correlation and spin-orbit effects are described by the two-particle two-hole (2p2h) excitations of nucleon pairs, in which the two nucleons with a large relative momentum are regarded as a high-momentum pair (HM). With the 2p2h configurations increasing, the total energy per particle of neutron matter is well converged under this UCOM+HM framework. By comparing the results calculated with AV4', AV6', and AV8' NN interactions, the effects of the short-range correlation, the tensor correlation, and the spin-orbit coupling on the density dependence of the total energy per particle of neutron matter are demonstrated. Moreover, the contribution of each Hamiltonian component to the total energy per particle is discussed. The EOSs of neutron matter calculated within the present UCOM+HM framework agree with the calculations of six different microscopic many-body theories, especially in agreement with the auxiliary field diffusion Monte Carlo calculations.

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