Solution of the Dirac equation for the Woods–Saxon potential with spin and pseudospin symmetry

Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry

“…Although the non-relativistic Schrödinger equation with this potential has been solved for -states [41][42][43] and the single-particle motion in atomic nuclei has been explained quite well, the relativistic effects for a particle in this potential are more important, especially for a strongly coupled system. Solutions have been found and investigated for various cases including the 1D Schrödinger equation with the generalized WS potential using the NU method [44][45][46], the 1D KG equation with real and complex forms of the generalized WS potential [16], the one-dimensional Dirac equation with a WS potential [47], the ( )-wave Dirac equation ( = 0 i.e., κ = −1 for spin and κ = 1 for pseudospin symmetry) for a single particle with spin and pseudospin symmetry moving in a central WS potential [48], the three-dimensional Dirac equation for spherically symmetric potentials, specifically shape-invariant Morse, Rosen-Morse, Eckart, Pöschl-Teller, Scarf, WS and Hulthén potentials [49][50][51][52][53][54][55][56].…”

Exact Bound State Solution of Qdeformed Woods-Saxon Plus Modified Coulomb Potential Using Conventional NIKIFOROV-UVAROV Method

“…Nuclear shell model describes the interaction of nucleon with heavy nucleus [21][22][23]. Understanding the behavior of electrons in the valence shell has a major role in investigating metallic system [24]. This potential is express as a function of the distance from the centre of the nucleus.…”

Bound States for Pseudoharmonic Potential of the Dirac Equation with Spin and Pseudo-Spin Symmetry via Laplace Transform Approach

“…These potentials include: the Hulthén potential [13], the Eckart potential [14], the Pöschl-Teller potential [15,16], the Rosen-Morse potential [17], harmonic potential [18], the Manning-Rosen potential [19], the Wood-Saxon potential [20], the Kratzer potential with angle dependent potential [21], the Scarf potential [22], the Hua potential [23]. In this study we consider the pseudoharmonic potential [24][25][26] given as…”