Study of the Influence of Different Methods of Taking into Account the Coulomb Interaction on Determining Asymptotic Normalization Coefficients within the Framework of Exactly Solvable Model

被引：3

作者：

Blokhintsev, L. D. ^{[1
]}

Savin, D. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Skobeltsyn Inst Nucl Phys, Moscow, Russia

来源：

PHYSICS OF ATOMIC NUCLEI | 2021年 / 84卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

CONSTANTS;

D O I：

10.1134/S1063778821040098

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

It is shown that the Schrodinger equation for the sum of the potential of a square well and the Coulomb potential of a uniformly charged sphere admits an analytical solution for arbitrary values of the orbital angular momentum. An explicit form of this solution has been found. Using the obtained solution, the influence of the Coulomb interaction for both point and distributed nuclear charges on the values of asymptotic normalization coefficients for various nuclear systems is investigated. It is shown that taking into account the non-point distribution of the nuclear charge has little effect on the calculated values of the asymptotic normalization coefficients, provided that the binding energy of the system is assumed to be fixed.

引用

页码：401 / 407

页数：7

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