AN APPROXIMATE SOLUTION OF THE DIRAC EQUATION FOR HYPERBOLIC SCALAR AND VECTOR POTENTIALS AND A COULOMB TENSOR INTERACTION BY SUSYQM
2011; World Scientific; Volume: 26; Issue: 36 Linguagem: Inglês
10.1142/s0217732311037091
ISSN1793-6632
AutoresH. Hassanabadi, E. Maghsoodi, S. Zarrinkamar, H. Rahimov,
Tópico(s)Quantum Chromodynamics and Particle Interactions
ResumoBased on the significant role of spin and pseudospin symmetries in hadron and nuclear 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.
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