AN APPROXIMATE SOLUTION OF THE DIRAC EQUATION FOR HYPERBOLIC SCALAR AND VECTOR POTENTIALS AND A COULOMB TENSOR INTERACTION BY SUSYQM

作者：Hassanabadi H^*; Maghsoodi E; Zarrinkamar S; Rahimov H

来源：Modern Physics Letters A, 2011, 26(36): 2703-2718.

DOI：10.1142/S0217732311037091

• Dirac equation
• spin symmetry
• pseudospin symmetry
• tensor potential

Based on the significant role of spin and pseudospin symmetries in hadron spectroscopy, we have investigated Dirac equation under scalar and vector potentials of cotangent hyperbolic form besides a Coulomb tensor interaction via an approximate analytical scheme. The considered potential for small potential parameter resembles the well-established Kratzer potential. In addition, we see how the tensor term removes the degeneracy of doublets. After an acceptable approximation, namely a Pekeris-type one, we see that the problem is simply solved via the quantum mechanical idea of supersymmetry without having to deal with the cumbersome, complicated and time-consuming numerical programming.

• 出版日期2011-11-30