Exact solution of Dirac equation for Scarf potential with new tensor coupling potential for spin and pseudospin symmetries using Romanovski polynomials

doi:10.1088/1674-1056/23/9/090304

Abstract The bound state solutions of Dirac equations for a trigonometric Scarf potential with a new tensor potential under spin and pseudospin symmetry limits are investigated using Romanovski polynomials. The proposed new tensor potential is inspired by superpotential form in supersymmetric (SUSY) quantum mechanics. The Dirac equations with trigonometric Scarf potential coupled by a new tensor potential for the pseudospin and spin symmetries reduce to Schrödinger-type equations with a shape invariant potential since the proposed new tensor potential is similar to the superpotential of trigonometric Scarf potential. The relativistic wave functions are exactly obtained in terms of Romanovski polynomials and the relativistic energy equations are also exactly obtained in the approximation scheme of centrifugal term. The new tensor potential removes the degeneracies both for pseudospin and spin symmetries.

Keywords: Scarf potential new tensor potential spin and pseudospin symmetries Romanovski polynomials

Received: 07 February 2014
Revised: 02 April 2014
Accepted manuscript online:

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	03.65.Pm	(Relativistic wave equations)
	03.65.Ca	(Formalism)

Fund: Project supported by Hibah Peneliti Utama (PUT UNS) 2014 and DIKTI (Grant No. 165a/UN27.11/PN2013).

Corresponding Authors: A. Suparmi
E-mail: suparmi@uns.ac.id

Cite this article:

A. Suparmi, C. Cari, U. A. Deta Exact solution of Dirac equation for Scarf potential with new tensor coupling potential for spin and pseudospin symmetries using Romanovski polynomials 2014 Chin. Phys. B 23 090304

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Exact solution of Dirac equation for Scarf potential with new tensor coupling potential for spin and pseudospin symmetries using Romanovski polynomials

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