Particle transfer in braneworld collisions

TL;DR

This paper investigates how fermions localized on moving kinks transfer during collisions with antikinks or boundaries, modeling brane-world scenarios and the transfer of fermions between bulk and brane.

Contribution

It provides a numerical analysis of fermion transfer during kink collisions, offering insights into brane-bulk fermion dynamics in higher-dimensional models.

Findings

Fermion transfer depends on collision dynamics and boundary conditions.

Numerical solutions show fermions can be transferred or trapped on the brane.

The study quantifies transfer using Bogoliubov coefficients.

Abstract

We study the behaviour of fermions localized on moving kinks as these collide with either antikinks or spacetime boundaries. We numerically solve for the evolution of the scalar kinks and the bound (i.e. localized) fermion modes, and calculate the number of fermions transfered to the antikink and boundary in terms of Bogoliubov coefficients. Interpreting the boundary as the brane on which we live, this models the ability of fermions on branes incoming from the bulk to ``stick'' on the world brane, even when the incoming branes bounce back into the bulk.