Relativistic Formation of the Gamov Factor on Fermion Pair Creation and Annihilation

초록

In this study, we develop a new form for the Gamow factor applicable for the relativistic energy reactions and/or strong Coulomb-type interacting systems. We take the overlap of Feynman amplitude with relativistic wavefunction of the fermion pair which reproduces the initial and/or final state interactions. This extension is done for whole range of energy and for a wide range of coupling constants including a qurak-level interaction. We find that the modfication of the Gamow factor is significant when the relative energy of two fermions is large and/or the coupling of the pair is strong.