OWL: A code for the two-center shell model with spherical Woods–Saxon potentials

Abstract

A Fortran-90 code for solving the two-center nuclear shell model problem is presented. The model is based on two spherical Woods–Saxon potentials and the potential separable expansion method. It describes the single-particle motion in low-energy nuclear collisions, and is useful for characterizing a broad range of phenomena from fusion to nuclear molecular structures. Program summary: Program Title: OWL Program Files doi: http://dx.doi.org/10.17632/s5pcd54dys.1 Licensing provisions: GPLv3 Programming language: Fortran-90 Nature of problem: The two-center shell model (TCSM) is a basic microscopic model to describe the single-particle (sp) motion during a heavy ion collision near the Coulomb barrier. The sp energies and wave-functions are obtained by solving the Schrödinger equation with a phenomenological two-center mean field based on two spherical Woods–Saxon (WS) potentials [1]. Solution method: The potential separable expansion (PSE) method using two basis sets of harmonic oscillator functions is employed [2,3]. A method to ensure the volume conservation of the fusing system is used [1]. Additional comments including Restrictions and Unusual features: The program is suited for two spherical WS potentials and provides bound sp states only. [1] A. Diaz-Torres, W. Scheid, Nucl. Phys. A 757 (2005) 373–389.[2] F.A. Gareev, M.Ch. Gizzatkulov, J. Revai, Nucl. Phys. A 326 (1977) 512–522.[3] B. Gyarmati, A.T. Kruppa, J. Revai, Nucl. Phys. A 326 (1979) 119–128.