A note on the Woods-Saxon potential

Abstract

The wave Schrodinger and, to clarify one interesting point encountered in the calculations, Klein-Gordon equations are solved exactly for a single neutron moving in a central Woods-Saxon plus an additional potential that provides a flexibility to construct the surface structure of the related nucleus. The physics behind the solutions and the reliability of the results obtained are discussed carefully with the consideration of other related works in the literature. In addition, the exhaustive analysis of the results reveals the fact that the usual Woods-Saxon potential cannot be solved analytically within the framework of non-relativistic physics, unlike its exactly solvable relativistic consideration.

References in corpus (5)

• Supersymmetry and Quantum Mechanics
• Polynomial Solutions of Shcrodinger Equation with the Generalized Woods Saxon Potential
• The Woods-Saxon Potential in the Dirac Equation
• Scattering of a Klein-Gordon particle by a Woods-Saxon potential
• A search on the Nikiforov-Uvarov formalism

Cited by in corpus (13)

• A General Approach for the Exact Solution of the Schrodinger Equation
• Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry
• Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary $\ell$ States
• Scattering of Klein-Gordon particles in the background of mixed scalar-vector generalized symmetric Woods-Saxon potential
• Bound states of the $D$-dimensional Schrödinger equation for the generalized Woods-Saxon potential
• The Parametric Generalized Fractional Nikiforov-Uvarov Method and Its Applications
• An Investigation of the Bound State Solutions of the Klein-Gordon Equation for the Generalized Woods-Saxon Potential in Spin Symmetry and Pseudo-spin Symmetry Limits
• Comparative effect of an addition of a surface term to the Woods-Saxon potential on the thermodynamics of a nucleon
• Surface Interaction Effects to a Klein-Gordon Particle Embedded in a Woods-Saxon Potential Well in terms of Thermodynamic Functions
• Remarks on the Woods-Saxon Potential
• Two Electrons in a Quantum Dot: A Unified Approach
• A Study of Shell Model Neutron States in ${}^{207,209}Pb$ Using the Generalized Woods-Saxon plus Spin-Orbit Potential
• An Algebraic Method for the Analytical Solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials