# Corrected analytical solution of the generalized Woods–Saxon potential for arbitrary ℓ ?> states

@article{Bayrak2014CorrectedAS, title={Corrected analytical solution of the generalized Woods–Saxon potential for arbitrary ℓ ?> states}, author={Orhan Bayrak and Esra Aciksoz}, journal={Physica Scripta}, year={2014}, volume={90} }

The bound state solution of the radial Schrödinger equation with the generalized Woods–Saxon potential is carefully examined using the Pekeris approximation for arbitrary ℓ ?> states. The energy eigenvalues and the corresponding eigenfunctions are analytically obtained for different n and ℓ ?> quantum numbers. The closed forms obtained are applied to calculate the single particle energy levels of a neutron orbiting around 56Fe nucleus in order to check the consistency between the analytical and…

## 25 Citations

The Interaction of a Charged Particle in the Generalized Woods-Saxon Potential

- Physics
- 2019

An analytical solution of any given potential model presenting particle interaction is hot topic in physics. There are few potential models that can be analytically solved in literature. The…

Scattering, bound, and quasi-bound states of the generalized symmetric Woods-Saxon potential

- Physics
- 2016

The exact analytical solutions of the Schrodinger equation for the generalized symmetrical Woods-Saxon potential are examined for the scattering, bound, and quasi-bound states in one dimension. The…

Remarks on the Woods-Saxon Potential

- Physics
- 2016

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…

Bound states of the D-dimensional Schrödinger equation for the generalized Woods–Saxon potential

- PhysicsModern Physics Letters A
- 2019

The formal framework for quantum mechanics is an infinite number of dimensional space. Hereby, in any analytical calculation of the quantum system, the energy eigenvalues and corresponding wave…

Exact Analytical Solution of the Klein–Gordon Equation in the Generalized Woods–Saxon Potential

- Physics
- 2015

The exact analytical solution of the Klein–Gordon equation for the spin-0 particles in the generalized Woods–Saxon potential is presented. The bound state energy eigenvalues and corresponding wave…

THERMODYNAMIC PROPERTIES OF A NUCLEON UNDER THE GENERALIZED SYMMETRIC WOODS-SAXON POTENTIAL IN FLOURINE 17 ISOTOPE

- Physics
- 2016

The exact analytical solution of the Schrodinger equation for a generalized symmetrical Woods-Saxon potential are examined for a nucleon in Fluorine 17 nucleus for bound and quasi-bound states in one…

A study of shell model neutron states in 207,209Pb using the generalized Woods-Saxon plus spin-orbit potential

- Physics
- 2016

The experimental binding energies of single-particle and single-hole neutron states belonging to neutron shells that extend from N = 126–184 and 82–126, respectively, have been reproduced by solving…

On the Solution of the Generalized Symmetric Woods-Saxon Potential in the Dirac Equation

- Physics
- 2018

In this work, we present a solution to the Dirac equation that is coupled with vector and scalar generalized symmetric Woods-Saxon potential energy in one plus one space-time. The chosen potential…

On the Role of Differentiation Parameter in a Bound State Solution of the Klein-Gordon Equation.

- Physics
- 2018

Recently, the bound state solutions of a confined Klein-Gordon particle under the mixed scalar-vector generalized symmetric Woods-Saxon potential in one spatial dimension have been investigated. The…

On the Role of Differentiation Parameter in a Bound State Solution of the Klein-Gordon Equation

- PhysicsCommunications in Theoretical Physics
- 2019

Abstract Recently, the bound state solutions of a confined Klein-Gordon particle under the mixed scalarvector generalized symmetric Woods-Saxon potential in one spatial dimension have been…

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