Abstract
We study the spin 1/2 and spin 3/2 fermion fields in a thick braneworld
scenario in six dimensions called string-cigar model. This smooth
stringlike model has a source that satisfies the dominant energy
condition and undergoes a Ricci flow. We propose a new coupling for the
fermions with a background gauge field which allows a smooth and
normalized massless mode in the brane with positive tension. By
numerical methods the mass spectrum and the massive eigenfunctions are
obtained. The Kaluza-Klein massive tower exhibits the usual increasing
pattern and, in this scenario, the coupling term does not allow
tachyonic Kaluza-Klein states. The brane core and the background gauge
field alter the properties of the massive KK tower, enhancing the
amplitude of the massive states near the origin and changing the
properties of the analogue Schrodinger potential. Furthermore, we find
massive modes as resonant states in this scenario for both fermionic
fields.
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