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Analytical solutions for fermions on a thick brane with a piecewise and smooth warp factor

Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Ceará, Brazil

Faculdade de Educação, Universidade Estadual do Ceará, Ciências e Letras do Sertão Central – R. Epitácio Pessoa, 2554, 63.900-000 Quixadá, Ceará, Brazil

E-mail Address: makarius.tahim@uece.br

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G. Alencar

Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Ceará, Brazil

E-mail Address: geova@fisica.ufc.br

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, and

R. N. Costa Filho

Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Ceará, Brazil

E-mail Address: rai@fisica.ufc.br

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https://doi.org/10.1142/S0217732317501930Cited by:0 (Source: Crossref)

Abstract

In this paper, we study analytical solutions for fermion localization in Randall–Sundrum (RS) models. We show that there exist special couplings between scalar fields and fermions giving us discrete massive localizable modes. Besides this we obtain resonances in some models by analytical methods.

Keywords:

PACS: 11.10.Kk, 04.60.Kz, 11.25.Mj, 11.27.+d, 11.25.-w

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