https://doi.org/10.1140/epjd/s10053-021-00141-4
Regular Article - Atomic Physics
Multipole polarizabilities for hydrogen-like atoms in Hulthén potential with and without spherical confinement
1
College of Physics, Jilin University, 130012, Changchun, People’s Republic of China
2
Institute of Atomic and Molecular Physics, Jilin University, 130012, Changchun, People’s Republic of China
3
College of Physical Science and Technology, Heilongjiang University, 150080, Harbin, People’s Republic of China
4
Institute of Atomic and Molecular Sciences, Academia Sinica, 10617, Taipei, Taiwan
Received:
3
March
2021
Accepted:
27
March
2021
Published online:
13
April
2021
The multipole polarizabilities for hydrogen-like atoms with Hulthén potential are calculated with the sum-over-states formalism where the system bound and pseudocontinuum states are produced by employing the generalized pseudospectral method. Energies for nonzero angular momentum states, transition oscillator strengths, and dipole polarizabilities for the ground state of H atom with HP are calculated with high accuracy and compared with previous calculations. Quadrupole, octupole, and hexadecapole polarizabilities for both the ground and excited states are reported for the first time. The combined effect of Hulthén potential and impenetrable sphere on the polarizabilities is investigated, and the relation of such system with the confined H atom and particle in a box is discussed. Further comparison among Hulthén, screened Coulomb, and exponential cosine screened Coulomb potentials reveals that although the ground state energies follow the comparison theorem very well, their first-order energy corrections show complicated variations.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021
