Critical screening parameters of one-electron systems with screened Coulomb potentials: high Rydberg limit
| Autor: | Li Guang Jiao, Lei Xu, Ruo Yu Zheng, Aihua Liu, Yong Zhi Zhang, H E Montgomery, Yew Kam Ho |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Journal of Physics B: Atomic, Molecular and Optical Physics. 55:195001 |
| ISSN: | 1361-6455 0953-4075 |
| DOI: | 10.1088/1361-6455/ac8add |
| Popis: | We develop an efficient numerical method to directly calculate the critical screening parameters for one-electron systems with Hulthén and Debye–Hückel screened Coulomb potentials (SCPs). Compared to indirect methods, which locate the critical screening parameters via searching the potential parameters with near-zero energy, the method developed in this work directly calculates the critical screening parameters as eigenvalues of a generalized eigenvalue problem. This feature allows us to simultaneously determine the critical parameters for bound states from low-lying excitation to high-lying Rydberg limit with high accuracy. The method is applied to SCPs to investigate the asymptotic behavior of critical screening parameters as the principal quantum number n approaches infinity. It has been shown that the critical screening parameters in Hulthén and Debye–Hückel potentials follow the 2n −2 and 4n −2/π asymptotic laws, respectively, and that the orbital angular momentum affects the higher-order coefficients linearly. |
| Databáze: | OpenAIRE |
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