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 nuclei, in which the potential is given as a sum of two Woods–Saxon potentials.
- Received 2 April 2017
- Revised 10 May 2017
DOI:https://doi.org/10.1103/PhysRevC.95.054620
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