arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2012.01790nucl-th
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用么正相关算符和高动量对方法描述中子物质的有限粒子数

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

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

摘要:

分别采用裸阿贡核V4'(AV 4')、V6'(AV 6')和V8'(AV 8')核子-核子(NN)相互作用,用么正关联算符和高动量对方法计算了中子物质的核状态方程。在周期边界条件下,用幻数$N=66$描述中子物质。用么正相关算符方法(UCOM)处理NN相互作用中短程排斥引起的中心短程关联,用核子对的两粒子两空穴(2 p2 h)激发描述张量关联和自旋轨道效应,其中两个相对动量较大的核子被视为高动量对(HM).随着2 p2 h组态的增加,在UCOM+HM框架下,中子物质的总能量很好地收敛。通过对AV 4 '、AV 6'和AV 8 ' NN相互作用计算结果的比较,说明了短程关联、张量关联和自旋轨道耦合对中子物质每粒子总能量密度依赖性的影响。此外,每个哈密顿分量的贡献,每个粒子的总能量进行了讨论。在UCOM+HM框架下计算的中子物质的EOS与六种不同的微观多体理论的计算结果一致,特别是与辅助场扩散MonteCarlo计算结果一致。

英文摘要:

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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