New and efficient method for solving the eigenvalue problem for the two-center shell model with finite-depth potentials

K. Hagino, T. Ichikawa

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1 Citation (Scopus)

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 O16 nuclei, in which the potential is given as a sum of two Woods-Saxon potentials.

Original languageEnglish
Article number054620
JournalPhysical Review C
Volume95
Issue number5
DOIs
Publication statusPublished - 2017 May 30

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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