Remarks on the Woods-Saxon Potential

Abstract

More recently, comprehensive application results of approximate analytical solutions of the Woods-Saxon potential in closed form for the 5-dimensional Bohr Hamiltonian have been appeared [14] and its comparison to the data for many different nuclei has clearly revealed the domains for the sucsess and failure in case of using such potential forms to analyse the data concerning with the nuclear structure of deformed nuclei within the frame of the collective model. Gaining confidence from this work, exact solvability of the Woods-Saxon type potentials in lower dimensions for the bound states having zero angular momentum is carefully reviewed to finalize an ongoing discussion in the related literature and clearly shown that such kind of potentials have no analytical solutions even for l=0 case.

8 pages, Mod.Phys.Lett.A (2016)

References in corpus (2)

• A note on the Woods-Saxon potential
• Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary $\ell$ States

Cited by in corpus (7)

• Scattering of Klein-Gordon particles in the background of mixed scalar-vector generalized symmetric Woods-Saxon potential
• 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
• A Comparative Interpretation of the Thermodynamic Functions of a Relativistic Bound State problem proposed with an Attractive or a Repulsive Surface Effect
• Solving Schrodinger equations using physically constrained neural network
• On the Role of Differentiation Parameter in a Bound State Solution of the Klein-Gordon Equation