Amplification of coupling for Yukawa potentials

Abstract

It is well known that Yukawa potentials permit bound states in the Schrodinger equation only if the ratio of the exchanged mass to bound mass is below a critical multiple of the coupling constant. However, arguments suggested by the Darwin term imply a more complex situation. By numerically studying the Dirac equation with a Yukawa potential we investigate this amplification effect.

7 pages, 2 figures

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Cited by in corpus (6)

• Bound States and Critical Behavior of the Yukawa Potential
• Dirac Equation Studies in the Tunnelling Energy Zone
• Potential Scattering in Dirac Field Theory
• Relative helicity phases in planar Dirac scattering
• Bound State Inequality for High Mass Exchanges in a Scalar Field Model
• Fermion-Fermion Bound State Condition for Scalar Exchanges