New and efficient method for solving the eigenvalue problem for the two-center shell model with finite-depth potentials
Year: 2017
Type: article
Abstract: We propose a method to solve the eigenvalue problem with a two-center single-particle potential. This method combines the usual matrix diagonalization with the method of separable representation of a two-center potential; that is, an expansion of the two-center potential with a finite basis set. To this end, we expand the potential on a harmonic-oscillator basis, while single-particle wave functions on a combined basis with a harmonic oscillator and eigenfunctions of a one-dimensional two-center potential. To demonstrate its efficiency, we apply this method to a system with two $^{16}\mathrm{O}$ nuclei, in which the potential is given as a sum of two Woods--Saxon potentials.
Source: Physical Review C
Authors: K. Hagino, T. Ichikawa
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2619860016