Energy spectra and asymptotic laws of the radial screened Coulomb potential

被引：5

作者：

Xu, Lei ^{[1
]}

Jiao, Li Guang ^{[1
,2
,3
]}

Liu, Aihua ^{[4
]}

Montgomery Jr., Henry E. ^{[5
]}

Ho, Yew Kam ^{[6
]}

Fritzsche, Stephan ^{[2
,3
,7
]}

机构：

[1] Jilin Univ, Coll Phys, Changchun 130012, Peoples R China

[2] Helmholtz Inst Jena, D-07743 Jena, Germany

[3] GSI Helmholtzzentrum Schwerionenforsch GmbH, D-64291 Darmstadt, Germany

[4] Jilin Univ, Inst Atom & Mol Phys, Changchun 130012, Peoples R China

[5] Ctr Coll Danville, Chem Program, Danville, KY 40422 USA

[6] Acad Sinica, Inst Atom & Mol Sci, Taipei 10617, Taiwan

[7] Friedrich Schiller Univ Jena, Theoret Phys Inst, D-07743 Jena, Germany

来源：

PHYSICS LETTERS A | 2023年 / 483卷

基金：

中国国家自然科学基金;

关键词：

Radial screened Coulomb potential; Generalized pseudospectral method; Energy spectra; Critical screening parameter;

D O I：

10.1016/j.physleta.2023.129064

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The energy spectra and corresponding asymptotic laws of the radial screened Coulomb potential V(r) = - exp(-C/r)/r are investigated by employing the generalized pseudospectral method. Our numerical calculations manifest full convergence for all investigated bound states with the screening parameter C ranging from zero to infinity, but show significant discrepancies with previous predictions. Based on the Hellmann-Feynman theorem, we analyze the asymptotic behavior of the energy spectra for screening parameters close to zero. We further propose an empirical reciprocal law for energies when the screening parameter approaches infinity. We finally conclude that for the radial screened Coulomb potential there do not exist finite values of critical screening parameters at which the bound states merge into the continuum. (c) 2023 Elsevier B.V. All rights reserved.

引用

页数：5

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