Effective-Mass Klein-Gordon-Yukawa Problem for Bound and Scattering States
Altug Arda (Hacettepe University), Ramazan Sever (Middle East, Technical University)
TL;DR
This paper derives solutions for bound and scattering states of the effective-mass Klein-Gordon equation with Yukawa and Coulomb potentials, providing analytical and numerical results that extend previous studies.
Contribution
It introduces a comprehensive analysis of the effective-mass Klein-Gordon equation for Yukawa potential, including bound and scattering states, with comparisons to constant mass cases and prior work.
Findings
Energy eigenvalues and wave functions are obtained for Yukawa potential.
Scattering phase shifts are calculated for various angular momenta.
Results are consistent with and extend previous analytical and numerical studies.
Abstract
Bound and scattering state solutions of the effective-mass Klein-Gordon equation are obtained for the Yukawa potential with any angular momentum . Energy eigenvalues, normalized wave functions and scattering phase shifts are calculated as well as for the constant mass case. Bound state solutions of the Coulomb potential are also studied as a limiting case. Analytical and numerical results are compared with the ones obtained before.
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