BOUND STATE SOLUTION OF DIRAC EQUATION FOR SCARF POTENTIAL WITH NEW TENSOR COUPLING POTENTIAL FOR SPIN AND PSEUDOSPIN SYMMETRIES USING NIKIFOROV-UVAROV METHOD
Abstract: Bound state solution
of Dirac Equation for trigonometric Scarf potential with a new tensor coupling
under spin and pseudospin symmetric limits are investigated using
Nikiforov-Uvarov method. The new tensor potential proposed is inspired by
superpotential form in SUSY quantum mechanics. The Dirac equation with
trigonometric Scarf potential coupled by new tensor potential for the
pseudospin and spin symmetric cases
reduces to Schrodinger
type equation with
shape invariant potential
since the proposed
new potentials are similar to the superpotential of Scarf potential. The
relativistic wave functions are exactly obtained eigenfunction of NU method in
terms of Jacobi polynomials and the relativistic energy equation is exactly
obtained by using eigenvalue of NU method in the approximation scheme of
centrifugal term. The new tensor potential omits the energy degeneracy both for
pseudospin and spin symmetric cases.
Keywords: Scarf potential, new
tensor coupling potential, spin and pseudospin symmetry, Nikiforov-Uvarof
methods
Author: U.A. Deta, A. Suparmi,
and C. Cari
Journal Code: jpfisikagg140021
