Relativistic scattering phase shifts, bound state energies, and wave function normalization factors for a screened Coulomb potential of the Hulth�n type: New, approximate formulae

1983 ◽  
Vol 312 (1-2) ◽  
pp. 11-20 ◽  
Author(s):  
Wolfgang B�hring
Keyword(s):  
Wave Function ◽  
Coulomb Potential ◽  
Bound State ◽  
Phase Shifts ◽  
Relativistic Scattering ◽  
Scattering Phase ◽  
Screened Coulomb Potential ◽  
Scattering Phase Shifts ◽  
Normalization Factors

scholarly journals Nucleon-Nucleon Potentials and Computation of Scattering Phase Shifts

2015 ◽  
Vol 5 (02) ◽  
pp. 73
Author(s):  
Jhasaketan Bhoi ◽  
Ujjwal Laha
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Ground State ◽  
Function Method ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Starting Point ◽  
Phase Function Method ◽  
Scattering Phase ◽  
Scattering Phase Shifts

<p>By judicious exploitation of supersymmetry formalism of quantum mechanics higher partial wave nucleon-nucleon potentials are generated from its ground state interactions. The nuclear Hulthen potential and the corresponding ground state wave function with the parameters of Arnold and MacKellar are used as the starting point of our calculation. We compute the scattering phase shifts for our constructed potentials through Phase Function Method to examine the merit of our approach to the problem.</p>

Bound state methods for elastic scattering phase shifts

1975 ◽  
Vol 32 (1) ◽  
pp. 6-10 ◽  
Author(s):  
M. Oppenheimer ◽  
H. Doyle ◽  
A. Dalgarno
Keyword(s):  
Elastic Scattering ◽  
Bound State ◽  
Phase Shifts ◽  
Scattering Phase ◽  
Scattering Phase Shifts

Bound state energies and scattering phase shifts in a short-range potential

1981 ◽  
Vol 59 (11) ◽  
pp. 1653-1657
Author(s):  
S. N. Banerjee ◽  
Pratima Chakraborty
Keyword(s):  
Short Range ◽  
Bound State ◽  
Phase Shifts ◽  
Wkb Approximation ◽  
Short Range Potential ◽  
Range Potential ◽  
Pure Coulomb ◽  
Screening Parameter ◽  
Scattering Phase ◽  
Scattering Phase Shifts

The semi-classical Wentzel–Kramers–Brillouin (WKB) approximation has been used to determine the bound state energies and scattering phase-shifts in a short range potential having a cut-off. The corresponding pure coulomb cases are found to follow as limiting cases when the screening parameter tends to zero. The mutual interrelationship between the bound state poles and the analyticity of the scattering amplitude has also been explored in the context of the WKB approximation.

scholarly journals On the Accuracy of the Tan hl Distorted Wave Approximation for Scattering Phase-Shifts

1963 ◽  
Vol 16 (2) ◽  
pp. 177 ◽  
Author(s):  
P Swan
Keyword(s):  
Wave Function ◽  
Form Factor ◽  
Variational Principle ◽  
Asymptotic Form ◽  
Phase Shifts ◽  
Distorted Wave ◽  
Variable Parameters ◽  
Wave Approximation ◽  
Scattering Phase ◽  
Scattering Phase Shifts

The distorted wave approximation for tan ?l involves a wave function distorted from its asymptotic form at r � 8 by a form factor g1(r). Schwinger's variational principle is adapted to show that increasing the number of variable parameters in g1(r) does not necessarily improve the firs

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