Effet d’une interaction non locale et separable sur le processus de creation de paires de particules

Abstract

The probability of pair creation of the Dirac equation by a separable and non-local potential of the matrix type is calculated as follows the Schwinger approach. It was found that this probability was zero. In a particular case, the potential δ is considered separable. Also, the Duffin-Kemmer-Petiau (DKP) equation describing the spin-0 particles is solved for the same interaction via the determination of the free Green function. Thus, it has been shown that the spectrum of energies is obtained from the calculation of the determinant and as illustration we have chosen a simple form for the matrix M relative to the interaction.