Solutions to the problem of ELKO spinor localization in brane models

TL;DR

This paper proposes two novel solutions for localizing ELKO spinor zero modes in brane models, addressing previous boundary condition issues and demonstrating localization in smooth Randall-Sundrum scenarios.

Contribution

It introduces mass and Yukawa geometric couplings as new methods to achieve ELKO spinor localization in brane-world models.

Findings

Zero mode localization achieved with mass term and delta coupling.

Yukawa geometric coupling localizes zero mode in smooth RS models.

Boundary conditions at origin and infinity are satisfied.

Abstract

In this paper we present two different solutions to the problem of zero mode localization of ELKO spinor. In a recent paper the present authors reopened this problem since the solution presented before did not satisfy the boundary condition at the origin. The first solution is given by the introduction of a mass term and by coupling the spinor with the brane through a delta function. The second solution is reached by a Yukawa geometrical coupling with the Ricci scalar. This two models changes consistently the the boundary condition at infinity and at the origin. For the case of Geometrical coupling we are able to show that the zero mode is localized for any smooth version of the RS model.