Dirac equation with CPRS potential and Cornell tensor interaction in the presence of spin and pseudospin symmetry

Author:

Sedaghatnia Parisa1,Hassanabadi Hassan1ORCID,de Montigny Marc2

Affiliation:

1. Faculty of Physics, Shahrood University of Technology, P. O. Box: 3619995161-316, Shahrood, Iran

2. Faculté Saint-Jean, University of Alberta, Edmonton, AB T6C 4G9, Canada

Abstract

Motivated by the prominent role of tensor interactions in nuclear spectroscopy and many applications of spin and pseudospin symmetry in hadronic and nuclear physics, we solve the Dirac equation with a CPRS potential and a Cornell tensor interaction, in the spin and pseudospin symmetry limits, by using the quasi-exactly solvable method. We obtain explicitly the wave functions for the two lowest energy levels, both for spin and pseudospin symmetry. We also discuss the degeneracy of the system.

Funder

the Natural Sciences and Engineering Research Council of Canada

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Nuclear and High Energy Physics

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