Multipole polarizabilities of spherically confined hydrogen atom and positronium in screened Coulomb potential. Issue 1 (30th August 2022)

• Record Type: Journal Article
• Authors: He, Yu Ying; Jiao, Li Guang; Liu, Aihua; Montgomery, Henry E.; Ho, Yew Kam
• Is Part Of: International journal of quantum chemistry. Volume 123:Issue 1(2023)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2022-08-30
• Subjects: generalized pseudospectral method -- multipole polarizabilities -- positronium -- scaling law -- screened coulomb potential -- spherical confinement; Quantum chemistry -- Periodicals; 541.28
• DOI: 10.1002/qua.27009
• Languages: English
• ISSNs: 0020-7608

Abstract

Abstract: The static multipole polarizabilities of the hydrogen atom interacting with a screened Coulomb potential confined in an impenetrable spherical box are calculated in the sum‐over‐states formalism. The system eigenenergies and wave functions are produced by employing the generalized pseudospectral method. High‐precision results are obtained to resolve the discrepancies between previous predictions, and used to analyze the critical behavior of the system with varying the confinement radius and screening parameter. A scaling law of the multipole polarizabilities with respect to the nuclear charge and electron reduced mass is proposed. Based on the scaling law we extend the investigation to the spatially confined positronium atom in a screened Coulomb potential by utilizing a reduced one‐electron model. The results are in good agreement with previous estimates. However, it is conjectured that when the confinement radius is small the confined positronium atom should be treated more reasonably by an effective two‐electron model. Abstract : High accuracy multipole polarizabilities of the spherically confined hydrogen atom in screened Coulomb potential are calculated to resolve the discrepancies among previous predictions. The numerical results can be extended to confined positronium atom by utilizing a scaling law with respect to the nuclear charge and electron reduced mass. However, such a hydrogen‐like model is not applicable at very small confinement radius where an effective two‐electron model should be applied.