Fermion localization and resonances on two-field thick branes

Abstract

We consider $(4,1)$-dimensional branes constructed with two scalar fields $\varphi$ and $\chi$ coupled to a Dirac spinor field by means of a general Yukawa coupling. The equation of motion for the coefficients of the chiral decomposition of the spinor in curved spacetime leads to a Schödinger-like equation whose solutions allow to obtain the masses of the fermionic modes. The simplest Yukawa coupling $\bar{\Psi }\varphi \chi \Psi$ is considered for the Bloch brane model and fermion localization is studied. We found resonances for both chiralities and related their appearance to branes with internal structure.

24 pages, 11 figures. Revised and extended version. Included 2 more sections; added 10 references

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Cited by in corpus (107)

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• Fermion Resonances on Multi-field Thick Branes
• Braneworld solutions for F(R) models with non-constant curvature
• Scalar-Kinetic Branes
• Localization of 5D Elko Spinors on Minkowski Branes
• Tensor perturbations of $f(T)$-branes
• Localization of bulk matter fields, the hierarchy problem and corrections to Coulomb's law on a pure de Sitter thick braneworld
• Thick branes with a nonminimally coupled bulk-scalar field
• Fermion localization on asymmetric two-field thick branes
• Fermion localization on degenerate and critical branes
• Gauge field localization on the Bloch Brane
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• Highly interactive kink solutions
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• Supersymmetric extensions of k-field models
• Fermion localization mechanism with derivative geometrical coupling on branes
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• Braneworlds in $f(Q)$ gravity
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• Brane worlds in critical gravity
• Quasinormal modes and echoes of a double braneworld
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• Hybrid Bloch Brane
• Localization and mass spectra of various matter fields on scalar-tensor brane
• Spinors Fields in Co-dimension One Braneworlds
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