Nuclear radii from a nonlocal Woods-Saxon potential

1985 ◽  
Vol 321 (4) ◽  
pp. 671-676 ◽  
Author(s):  
R. Nojarov
Keyword(s):  
Saxon Potential

scholarly journals ANY l-STATE ANALYTICAL SOLUTIONS OF THE KLEIN–GORDON EQUATION FOR THE WOODS–SAXON POTENTIAL

2010 ◽  
Vol 19 (07) ◽  
pp. 1463-1475 ◽  
Author(s):  
V. H. BADALOV ◽  
H. I. AHMADOV ◽  
S. V. BADALOV
Keyword(s):  
State Energy ◽  
Gordon Equation ◽  
Bound State ◽  
Nonrelativistic Limit ◽  
Saxon Potential ◽  
Bound State Energy ◽  
Klein Gordon ◽  
Uvarov Method ◽  
Pekeris Approximation ◽  
Klein Gordon Equation

The radial part of the Klein–Gordon equation for the Woods–Saxon potential is solved. In our calculations, we have applied the Nikiforov–Uvarov method by using the Pekeris approximation to the centrifugal potential for any l-states. The exact bound state energy eigenvalues and the corresponding eigenfunctions are obtained on the various values of the quantum numbers n and l. The nonrelativistic limit of the bound state energy spectrum was also found.

scholarly journals Systematical approach to the exact solution of the Dirac equation for a deformed form of the Woods–Saxon potential

2006 ◽  
Vol 39 (43) ◽  
pp. 13455-13463 ◽  
Author(s):  
Cüneyt Berkdemir ◽  
Ayşe Berkdemir ◽  
Ramazan Sever
Keyword(s):  
Exact Solution ◽  
Dirac Equation ◽  
Saxon Potential

Systematic study of the Woods-Saxon potential parameters between heavy-ions

2021 ◽  
Author(s):  
Lin Gan ◽  
ZhiHong Li ◽  
Hui-Bin 孙慧斌 Sun ◽  
Hu shipeng ◽  
ertao li ◽  
...  
Keyword(s):  
Systematic Study ◽  
Heavy Ions ◽  
Saxon Potential ◽  
Potential Parameters

Bound state solution of the Schrodinger equation for the Woods–Saxon potential plus coulomb interaction by Nikiforov–Uvarov and supersymmetric quantum mechanics methods

2021 ◽  
pp. 2150023
Author(s):  
Enayatolah Yazdankish
Keyword(s):  
Quantum Mechanics ◽  
Schrödinger Equation ◽  
Coulomb Interaction ◽  
Schrodinger Equation ◽  
Energy Eigenvalue ◽  
Bound State ◽  
Repulsive Interaction ◽  
Saxon Potential ◽  
Special Cases ◽  
Supersymmetry Quantum Mechanics

The generalized Woods–Saxon potential plus repulsive Coulomb interaction is considered in this work. The supersymmetry quantum mechanics method is used to get the energy spectrum of Schrodinger equation and also the Nikiforov–Uvarov approach is employed to solve analytically the Schrodinger equation in the framework of quantum mechanics. The potentials with centrifugal term include both exponential and radial terms, hence, the Pekeris approximation is considered to approximate the radial terms. By using the step-by-step Nikiforov–Uvarov method, the energy eigenvalue and wave function are obtained analytically. After that, the spectrum of energy is obtained by the supersymmetry quantum mechanics method. The energy eigenvalues obtained from each method are the same. Then in special cases, the results are compared with former result and a full agreement is observed. In the [Formula: see text]-state, the standard Woods–Saxon potential has no bound state, but with Coulomb repulsive interaction, it may have bound state for zero angular momentum.

scholarly journals Solution of Bohr Mottelson equation for modified wood Saxon potential using the hypergeometric method

2020 ◽  
Author(s):  
L. K. Permatahati ◽  
A. Suparmi ◽  
C. Cari ◽  
W. Andaresta
Keyword(s):  
Saxon Potential ◽  
Modified Wood
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