Abstract
In this paper Dirac equation was studied in the presence of the modified Mobius square potential with a Yukawa-like tensor interaction. The eigenvalues and corresponding eigenfunctions were obtained for any-state by using Nikiforov–Uvarov method.
Similar content being viewed by others
References
Ginocchio JN (2004) Relativistic harmonic oscillator with spin symmetry. Phys Rev C 69:034318
Ginocchio JN (1997) Pseudospin as a relativistic symmetry. Phys Rev Lett 78:436
Ginocchio JN (2005) Relativistic symmetries in nuclei and hadrons. Phys Rep 414:165–261
Troltenier D, Bahri C, Drayer JP (1995) Generalized pseudo-SU(3) model and pairing. Nucl Phys A 586:53–72
Page PR, Goldman T, Ginocchio JN (2001) Relativistic symmetry suppresses Quark spin-orbit splitting. Phys Rev Lett 86:204
Ginocchio JN (2005) U(3) and pseudo-U(3) symmetry of the oscillator relativistic harmonic. Phys Rev Lett 95:252501
Taskin F, Kocak G (2011) Spin symmetric solutions of Dirac equation with Pöschl-Teller potential. Chin. Phys. B 20:070302
Hamzavi M, Rajabi AA, Hassanabadi H (2012) Relativistic Morse Potential and Tensor Interaction. Few-Body Syst 52:19–29
Ginocchio JN, Leviatan A, Meng J, Zhou SG (2004) Test of pseudospin symmetry in deformed nuclei. Phys Rev C 69:034303
Ginocchio JN, Leviatan A (1998) On the relativistic foundations of pseudospin symmetry in nuclei. Phys Lett B 425:1–5
Hassanabadi H, Maghsoodi E, Zarrinkamar S (2012) Relativistic symmetries of Dirac equation and the Tietz potential. Euro. Phys. J. Plus 127:31
Hamzavi H, Rajabi AA, Hassanabadi H (2010) Exact pseudospin symmetry solution of the Dirac equation for spatially-dependent mass Coulomb potential including a Coulomb-like tensor interaction via asymptotic iteration method. Phys Lett A 374:4303–4307
Setare MR, Nazari Z (2009) Solution of Dirac equations with ve-parameter exponent-type potential. Acta Phys Pol B 40:2809–2824
Ikhdair SM, Sever R (2010) Approximate bound state solutions of Dirac equationwith Hulthén potential including Coulomb-like tensor potential. Appl Math Comput 216:911–923
Hassanabadi H, Maghsoodi E, Zarrinkamar S, Rahimov H (2012) Dirac equation for generalized Pöschl-Teller scalar and vector potentials and a Coulomb tensor interaction by Nikiforov-Uvarov method. J Math Phys 53:022104
Hassanabadi H, Zarrinkamar S, Hamzavi M (2012) Few-Body Syst 37:209
Hassanabadi H, Zarrinkamar S, Rajabi AA (2011) Exact solutions of D-dimensional schrödinger equation for an energy-dependent potential by NU method. Commun Theor Phys 55:541
Yazarloo BH, Hassanabadi H, Zarrinkamar S (2012) Oscillator strengths based on the Möbius square potential under Schrödinger equation. Eur Phys J Plus 127:51
Hassanabadi H, Maghsoodi E, Zarrinkamar S, Rahimov H (2011) An approximate solution of the Dirac equation for Hyperbolic scalar and vector potentials and a Coulomb tensor interaction by SUSYQM. Mod Phys Lett A 26(36):2703–2718
Ikot AN (2012) Solutions of Dirac equation for generalized hyperbolical potential including Coulomb-like tensor potential with spin symmetry. Few-Body Syst 53:549–555
Boonserm P, Visser M (2011) Quasi-normal frequencies: key analytic results. JHEP 1103:073
Nikiforov AF, Uvarov VB (1988) Special functions of mathematical physics. Birkhauser, Basel
Tezcan C, Sever R (2009) A general approach for the exact solution of the Schrödinger equation. Int J Theor Phys 48:337–350
Maghsoodi E, Hassanabadi H, Aydogdu O (2012) Dirac particles in the presence of the Yukawa potential plus a tensor interaction in SUSYQM framework. Phys Scr 86:015005
Alberto P, Lisboa R, Malheiro M, de Catro AS (2005) Tensor coupling and pseudospin symmetry in nuclei. Phys Rev C 71:034313
Lisboa R, Malheiro M, de Castro AS, Alberto P, Fiolhais M (2004) Pseudospin symmetry and the relativistic harmonic oscillator. Phys Rev C 69:024319
Meng J, Sugawara-Tanabe K, Yamaji S, Ring P, Arima A (1998) Pseudospin symmetry in relativistic mean field theory. Phys Rev C 58:R628(R)
Aydogdu O, Sever R (2011) The Dirac-Yukawa problem in view of pseudospin symmetry. Phys Scr 84:025005
Pekeris CL (1934) The rotation-vibration coupling in diatomic molecules. Phys Rev 45:98
Maghsoodi E, Hassanabadi H, Zarrinkamar S (2012) Spectrum of Dirac equation under Deng-Fan Scalar and Vector potentials and a Coulomb tensor interaction by SUSYQM. Few-Body Syst 53:525–538
Ikot AN, Maghsoodi E, Zarrinkamar S, Naderi L, Hassanabadi H (2014) Bound state solutions of the Dirac equation for the Eckart potential with Coulomb-like Yukawa-like tensor interactions. Few-Body Syst 55:241–253
Ikhdair SM (2011) An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry. J Math Phys 52:052303
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ikot, A., Maghsoodi, E., Ibanga, E. et al. Bound States of the Dirac Equation for Modified Mobius Square Potential Within the Yukawa-Like Tensor Interaction. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 86, 433–440 (2016). https://doi.org/10.1007/s40010-015-0227-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40010-015-0227-z