Approximate κ-state solutions to the Dirac-Yukawa problem based on the spin and pseudospin symmetry

• Authors: Sameer Ikhdair
• Languages of publication: EN

Abstracts

EN

Using an approximation scheme to deal with the centrifugal (pseudo-centrifugal) term, we solve the Dirac equation with the screened Coulomb (Yukawa) potential for any arbitrary spin-orbit quantum number κ. Based on the spin and pseudospin symmetry, analytic bound state energy spectrum formulas and their corresponding upper- and lower-spinor components of two Dirac particles are obtained using a shortcut of the Nikiforov-Uvarov method. We find a wide range of permissible values for the spin symmetry constant C
s from the valence energy spectrum of particle and also for pseudospin symmetry constant C
ps from the hole energy spectrum of antiparticle. Further, we show that the present potential interaction becomes less (more) attractive for a long (short) range screening parameter α. To remove the degeneracies in energy levels we consider the spin and pseudospin solution of Dirac equation for Yukawa potential plus a centrifugal-like term. A few special cases such as the exact spin (pseudospin) symmetry Dirac-Yukawa, the Yukawa plus centrifugal-like potentials, the limit when α becomes zero (Coulomb potential field) and the non-relativistic limit of our solution are studied. The nonrelativistic solutions are compared with those obtained by other methods.

Keywords

EN

Dirac equation; Spin symmetry; Pseudospin symmetry; Screened Coulomb potential; Approximation scheme; Nikiforov-Uvarov method

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 2
• Pages: 361-381

Dates

published

1 - 4 - 2012

online

31 - 3 - 2012

Contributors

author

Sameer Ikhdair

• Physics Department, Near East University, Nicosia, North Cyprus, Turkey

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Identifiers

DOI

10.2478/s11534-011-0121-5