Localization of matters coupled non-minimally to gravity on scalar thick branes

Abstract

We are investigating the localization of matter that interacts non-minimally with gravity within thick braneworld models generated by a scalar bulk. We focus on two models of scalar thick branes. The natural mechanism is used to analyze the localization of the fields. Without losing the point of field localization, we examine matter field localizations by considering the asymptotic behavior of the warp function on z toward infinity. The massless mode of the non-minimally coupled scalar field is localized on the brane in both models. A non-minimally coupled vector field behaves similarly to the non-minimally coupled scalar field, the massless mode in both models is localized. For a non-minimally coupled spinor field, in model 1, the field is not localized for both massless and massive modes, while in model 2, the massless spinor field is localized. This represents an improvement, as in the case of minimal coupling, massless vector and spinor fields are not localized in the brane model 2.