Effects of the variation of mass on fermion localization and resonances on thick branes

Abstract

A few years ago, Campos investigated the critical phenomena of thick branes in warped spacetimes [Phys. Rev. Lett. {\bf 88} (2002) 141602]. Inspired by his work, we consider a toy model of thick branes generated by a real scalar field with the potential $V(\varphi )=a{\varphi }^2-b{\varphi }^4+c{\varphi }^6$, and investigate the variation of the mass parameter $a$ on the branes as well as the localization and resonances of fermions. An interesting result is found: there is a critical value for the mass parameter $a$, and when the critical value of $a$ is reached the solution of the background scalar field is not unique and has the shape of a double kink. This happens in both cases with and without gravity. It is also shown that the numbers of the bound Kaluza-Klein modes of fermions on the gravity-free brane and the resonant states of fermions on the brane with gravity increase with the value of $a$.

10 pages, 12 figures, published version

References in corpus (22)

• Braneworld Models of Scalar Fields with Generalized Dynamics
• Fermion localization and resonances on two-field thick branes
• Fermion Localization and Resonances on A de Sitter Thick Brane
• Fermion localization on thick branes
• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• Scalar fields, bent branes, and RG flow
• Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes
• Fermion Resonances on Multi-field Thick Branes
• Mass gap for gravity localized on Weyl thick branes
• Localization of Fermions on a String-like Defect
• 6D thick branes from interacting scalar fields
• Fermions in Self-dual Vortex Background on a String-like Defect
• Fermions, scalars and Randall-Sundrum gravity on domain-wall branes
• Localization of fermionic fields on braneworlds with bulk tachyon matter
• Kink modes and effective four dimensional fermion and Higgs brane models
• Thick de Sitter brane solutions in higher dimensions
• Bulk Matters on a GRS-Inspired Braneworld
• The Energy-Level Shifts of a Stationary Hydrogen Atom in Static External Gravitational Field with Schwarzschild Geometry
• Effective action of a five-dimensional domain wall
• Aspects of warped braneworld models
• Thick brane solution with two scalar fields
• Localization of fields on brane

Cited by in corpus (6)

• Solutions to the problem of ELKO spinor localization in brane models
• Fermion Resonances on a Thick Brane with a Piecewise Warp Factor
• A Transfer Matrix Method for Resonances in Randall-Sundrum Models III: An analytical comparison
• Bulk Matters on a GRS-Inspired Braneworld
• Gauge Field Emergence from Kalb-Ramond Localization
• Massive $p$-form trapping as a $p$-form on a brane