2024 : 12 : 6
Mohammad Reza Pahlavani

Mohammad Reza Pahlavani

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex: 0/00
Faculty: Science
Address:
Phone: 01125342480

Research

Title
STUDY OF NUCLEAR BOUND STATES USING MEAN-FIELD WOODS SAXON AND SPIN-ORBIT POTENTIALS
Type
JournalPaper
Keywords
: Schr¨odinger equation; spin-orbit interaction; Woods–Saxon potential; Nikiforov–Uvarov; graphical solution.
Year
2012
Journal Modern physics letter A
DOI
Researchers Mohammad Reza Pahlavani ، S. Alireza َAlavi

Abstract

The neutron single-particle bound states as solutions of radial Schr¨odinger equation for the central Woods–Saxon potential together with spin-orbit interaction and centrifugal terms have been obtained analytically. By introducing new variable and using Taylor expansion, the differential equation has been transformed to solvable hypergeometric type. This differential equation has also been solved using Nikiforov–Uvarov (NU) method. Neutron single-particle states have been derived as self-adjoint form of hypergeometric series. By means of boundary conditions, which implies eigenvalue condition as complicated relation between energy eigenvalues and parameters of nuclear potential, the neutron single-particle energy eigenvalues have been derived using graphical method. To examine method, numerical results in special cases of S states are evaluated. Results obtained using this method are in satisfactory agreements with available numerical solutions.