Bound-states of diatomic molecules in the Dirac equation with the q-deformed Morse potential

摘要

We present the solutions of the ro-vibrational motion of a diatomic molecule with a spatially dependent mass by solving the Dirac equation with position-dependent mass for repulsive vector V(r) and attractive scalar S(r) q-deformed Morse potential for any κ value, within the framework of Pekeris approximation of the spin-orbitcoupling term. The relativistic energy spectra are obtained using theNikiforov-Uvarov method and the two-component spinor wavefunctions are obtained in terms of the Laguerre polynomials. It is found that there exist only negative energy states for bound states, and the energy values for a fixed ]value of n _r increase with decrease in κ.