Fermion bound states in geometrically deformed backgrounds

Abstract

This work deals with the behavior of fermions in the background of kinklike structures in the two-dimensional spacetime. The kinklike structures appear from bosonic scalar field models that engender distinct profiles and interact with the fermion fields via the standard Yukawa coupling. We first consider two models that engender parity symmetry, one leading to the exclusion of fermion bound states, and the other to the inclusion of bound states, when the parameter that controls the bosonic structure varies from zero to unity. We then go on and investigate another model where the kinklike solution explicitly breaks parity symmetry, leading to fermion bound states that are spatially asymmetric.

8 pages, 12 figures; text and new references added

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Cited by in corpus (9)

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• Fermions on wobbling kinks: normal versus quasinormal modes
• Can neutron disappearance/reappearance experiments definitively rule out the existence of hidden braneworlds endowed with a copy of the Standard Model?
• Bound States and Particle Production by Breather-Type Background Field Configurations
• Remarks on sine-Gordon kink--fermion system: localized modes and scattering