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arXiv · 1309.4360

Trapping of Spin-0 fields on tube-like topological defects

R. Casana·A. R. Gomes·R. Menezes·F. C. Simas
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Abstract

We have considered the localization of resonant bosonic states described by a scalar field $Φ$ trapped in tube-like topological defects. The tubes are formed by radial symmetric defects in $(2,1)$ dimensions, constructed with two scalar fields $ϕ$ and $χ$, and embedded in the $(3,1)-$dimensional Minkowski spacetime. The general coupling between the topological defect and the scalar field $Φ$ is given by the potential $ηF(ϕ,χ)Φ^2$. After a convenient decomposition of the field $Φ$, we find that the amplitudes of the radial modes satisfy Schrödinger-like equations whose eigenvalues are the masses of the bosonic resonances. Specifically, we have analyzed two simple couplings: the first one is $F(ϕ,χ)=χ^2$ for a fourth-order potential and, the second one is a sixth-order interaction characterized by $F(ϕ,χ)=(ϕχ)^2$% . In both cases the Schrödinger-like equations are numerically solved with appropriated boundary conditions. Several resonance peaks for both models are obtained and the numerical analysis showed that the fourth-order potential generates more resonances than the sixth-order one.

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R. Casana, A. R. Gomes, R. Menezes, F. C. Simas. 2014-03-20. Trapping of Spin-0 fields on tube-like topological defects. https://doi.org/10.1016/j.physletb.2014.01.015

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