Effective-Mass Klein-Gordon-Yukawa Problem for Bound and Scattering States

Abstract

Bound and scattering state solutions of the effective-mass Klein-Gordon equation are obtained for the Yukawa potential with any angular momentum $\ell$. 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.

13 pages, 1 figure

References in corpus (3)

• Exact Klein-Gordon equation with spatially-dependent masses for unequal scalar-vector Coulomb-like potentials
• Dirac equation with coupling to 1/r singular vector potentials for all angular momenta
• Solutions to the 1d Klein-Gordon equation with cutoff Coulomb potentials

Cited by in corpus (5)

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• Scattering state of Klein-Gordon Particles by q-parameter hyperbolic Poschl-Teller potential
• Analytical Solution of two-body spinless Salpeter Equation for Hellmann Potential
• Approximate analytical solutions of the Dirac equation for Yukawa potential plus Tensor Interaction with any $\kappa$-value