Scattering of Klein–Gordon particles by a Kink-like potential

• The Klein–Gordon equation for the non-minimal vector and a scalar Kink-like potential is solved.
• We have calculated the corresponding transmission and reflection coefficients.
• We discussed the behavior of the reflection and transmission coefficients vs. energy.

The Klein–Gordon equation for the non-minimal vector and a scalar Kink-like potential is solved in terms of the hypergeometric functions. The scattering problem, i.e. the transmission and reflection coefficients, is studied as well.