Bound states of scalar particles in the presence of a short range potential

Abstract

We analyze the behavior of the energy spectrum of the Klein-Gordon equation in the presence of a truncated hyperbolic tangent potential. From our analysis we obtain that, for some values of the potential there is embedding of the bound states into the negative energy continuum, showing that, in opposition to the general belief, relativistic scalar particles in one-dimensional short range potentials can exhibit resonant behavior and not only the Schiff-Snyder effect.

To appear in Modern Physics Letters A

References in corpus (1)

• Pair Production of charged vector bosons in supercritical magnetic fields at finite temperatures

Cited by in corpus (5)

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• Approximate Solution of the effective mass Klein-Gordon Equation for the Hulthen Potential with any Angular Momentum
• Scattering of a scalar relativistic particle by the hyperbolic tangent potential