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Chin. Phys. B, 2014, Vol. 23(9): 090304    DOI: 10.1088/1674-1056/23/9/090304
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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

A. Suparmia, C. Caria, U. A. Detab
a Physics Department, Faculty of Mathematics and Natural Science, Sebelas Maret University, Indonesia;
b Department of Physics, Faculty of Mathematics and Natural Science, State University of Surabaya, Indonesia
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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