5D Elko spinor field non-minimally coupled to nonmetricity in f (Q) gravity

This paper aims to investigate the localization of the five-dimensional spinor field known as Elko (dual-helicity eigenspinors of the charge conjugation operator) by employing a Yukawa-like geometrical coupling in which the Elko field is non-minimally coupled to nonmetricity scalar Q. We adopt the braneworld scenarios in which the first-order formalism with sine-Gordon and linear superpotentials is employed to obtain the warp factors. A linear function supports the zero-mode trapping within the geometric coupling, leading to the same effective potential as the scalar field. Moreover, an exotic term must be added to obtain real-valued massive modes. Such modes are investigated through the Schrodinger-like approach.& COPY; 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Automated summary

This paper investigates the localization of the Elko spinor field using a Yukawa-like geometrical coupling. The first-order formalism with sine-Gordon and linear superpotentials is adopted to obtain the warp factors in braneworld scenarios. The trapping of zero modes and the existence of real-valued massive modes are explored through the Schrodinger-like approach.