ELECTRON-POSITRON PAIR PRODUCTION WITH NEUTRINOS IN AN INTENSE EXTERNAL MAGNETIC FIELD

Abstract

Neutrinos participate in neutral current reactions which are mediated by 𝑍 𝑜boson and in charged current reactions mediated by 𝑊± bosons. The main purpose of this study was to formulate the electroweak description of neutrino-induced electron-positron pairproduction in the presence of intense background magnetic field. The main focus of this work was the determination of the scattering matrix, scattering amplitude, and the production rate for the neutral current reaction within the framework of the standard model. The derivation and solutions of the modified Dirac equation was performed in presence of a uniform magnetic field. The norm square of the invariant matrix element has been manipulated into a straightforward contraction between the scattering and production tensors. The kinematics of the process was set such that the incident, scattered and produced particles were constrained on the zx-plane. Numerical results have generated using Matlab R2013a programming language, whereas the Gaussian quadrature with 20 points has been used to perform the triple-integrals numerically. The results have shown that when the Landau level of electron is getter or equal to that of the positron the dominant contribution to the production rate comes from the lowest incident energy region (< 400 MeV); and for the most part, the production rate has been found to increase with the strength of the applied magnetic field.