Localization of five-dimensional Elko spinors with non-minimal coupling on thick branes

TL;DR

This paper proposes a new non-minimal coupling mechanism to localize five-dimensional Elko spinors on thick branes, expanding the possibilities beyond Yukawa-type couplings and demonstrating its effectiveness through specific models.

Contribution

It introduces a non-minimal coupling approach for Elko spinor localization on thick branes, generalizing previous methods and providing explicit solutions for various models.

Findings

Elko zero mode can be localized using the new non-minimal coupling.

The method applies to multiple thick brane models and examples.

Provides explicit forms of the coupling function and zero mode.

Abstract

It has been found that the zero mode of a five-dimensional Elko spinor could be localized on branes by introducing a Yukawa-type coupling between the Elko spinor and the background scalar field or the Ricci scalar. However, the Yukawa-type coupling is not appropriate for all brane models. In this paper, we explore other localization mechanism for the Elko spinor by introducing the non-minimal coupling $f(\phi)\mathfrak{L}_{Elko}$ between the five-dimensional Elko spinor and the background scalar field. We give the general expressions of the Elko zero mode and the function $f(\phi)$. Through two thick brane models and three concrete examples, we show that the Elko zero mode can be localized on the branes by this new mechanism. This provides us more possibilities of localizing the Elko zero mode.