Physics Letters B (Aug 2023)

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

  • F.M. Belchior,
  • A.R.P. Moreira,
  • R.V. Maluf,
  • C.A.S. Almeida

Journal volume & issue
Vol. 843
p. 138029

Abstract

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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 Schrödinger-like approach.

Keywords