计算少粒子系统束缚态的通用坐标高斯基

IF 0.6 Q4 PHYSICS, MULTIDISCIPLINARY

Ukrainian Journal of Physics Pub Date : 2023-10-20 DOI:10.15407/ujpe68.9.587

O.B. Gryniuk, B.E. Grinyuk

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引用次数: 0

摘要

提出了一种新的简单基础，用于变分计算少粒子系统的束缚态。对于具有成对相互作用的n粒子系统，哈密顿量的矩阵元素以显式形式存在。关于空间平移的基不变量的修改版本也被考虑。以12C核为例，将其视为由三个α-粒子组成的体系，并简要讨论了该方法的收敛性。

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Universal Coordinate Gaussian Basis for Calculations of the Bound States of a Few-Particle System

A new simple basis is proposed for variational calculations of the bound states of a few-particle system. For an N-particle system with pairwise interactions, the matrix elements of the Hamiltonian are found in an explicit form. A modified version of the basis invariant with respect to spatial translations is considered as well. As an example, the 12C nucleus is considered as a system consisting of three α-particles, and the convergence of the method is briefly discussed.

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来源期刊

Ukrainian Journal of Physics PHYSICS, MULTIDISCIPLINARY-

CiteScore

1.20

自引率

20.00%

发文量

244

期刊介绍： Ukrainian Journal of Physics is the general physics edition of the Department of Physics and Astronomy of the National Academy of Sciences of Ukraine. The journal publishes original papers and reviews in the fields of experimental and theoretical physics.