Dirac-Deng-Fan Problem with Coulomb-Hulthen Tensor Interactions

Abstract

The relativistic symmetries of the Dirac equation within the framework of spin and pseudospin symmetries is investigated for DengFan potential including the Coulomb-like and Hulthen-type potential tensor interaction terms. The energy eigenvalues and the corresponding wave function are obtained using the parametric generalization of NikiforovUvarov method. We have also reported some numerical results and gures to show the eect of the tensor interactions.

Nucleon-Nucleon Elastic Scattering for Motion in The Shifted Deng-Fan Potential

“…Most of the quantum systems can only be treated by approximation methodologies [1,2,3], as exact analytic solutions are feasible only for a few simple cases such as the hydrogen atom, the harmonic oscillator and others [4,5,6] in all partial waves and all energies. In a quest to find a suitable potential for diatomic interaction to describe the vibrational spectrum, Deng and Fan, in 1957, proposed a new molecular potential model [7] that is exponential in nature and was called Generalized Morse potential [8]. This potential is a modification of the Morse potential also known as Deng-Fan molecular potential (DF).…”

“…Louis [24] solved the Dirac equation for the Manning-Rosen plus shifted Deng-Fan (MRSDF) potential in the presence of spin and pseudospin (pspin) symmetries and by including a Coulomb-like tensor potential. All of above works [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] pertains to molecular spectroscopy and molecular dynamics. Within the framework of the shifted Deng Fan potential (SDF), Sajedi [25] studied the cluster structure of astrophysically important 19 Ne nucleus.…”

Solutions to the Dirac Equation for Manning-Rosen Plus Shifted Deng-Fan Potential and Coulomb-Like Tensor Interaction Using Nikiforov-Uvarov Method

“…In 1957, in an effort to find a suitable diatomic potential to describe the vibrational spectrum, Deng and Fan proposed a molecular exponential-type potential called Generalized Morse potential (Ikot et al, 2014). This potential is also known as Deng-Fan molecular potential, DF, and it is a modification of the Morse potential.…”