Please use this identifier to cite or link to this item: http://repositorio.ufla.br/jspui/handle/1/29618
metadata.artigo.dc.title: Scattering and bound states of a spin-1/2 neutral particle in the cosmic string spacetime
metadata.artigo.dc.creator: Andrade, Fabiano M.
Filgueiras, Cleverson
Silva, Edilberto O.
metadata.artigo.dc.subject: Relativistic quantum dynamics
Dirac delta function
Dinâmica quântica relativista
Função delta de Dirac
metadata.artigo.dc.publisher: Hindawi
metadata.artigo.dc.date.issued: 2017
metadata.artigo.dc.identifier.citation: ANDRADE, F. M.; FILGUEIRAS, C.; SILVA, E. O. Scattering and bound states of a spin-1/2 neutral particle in the cosmic string spacetime. Advances in High Energy Physics, [S. l.], v. 2017, p. 1-7, 2017. doi: https://doi.org/10.1155/2017/8934691.
metadata.artigo.dc.description.abstract: In this paper the relativistic quantum dynamics of a spin-1/2 neutral particle with a magnetic moment 𝜇 in the cosmic string spacetime is reexamined by applying the von Neumann theory of self-adjoint extensions. Contrary to previous studies where the interaction between the spin and the line of charge is neglected, here we consider its effects. This interaction gives rise to a point interaction: ∇⋅ E = (2𝜆/𝛼)𝛿(𝑟)/𝑟. Due to the presence of the Dirac delta function, by applying an appropriated boundary condition provided by the theory of self-adjoint extensions, irregular solutions for the Hamiltonian are allowed. We address the scattering problem obtaining the phase shift, 𝑆-matrix, and the scattering amplitude. The scattering amplitude obtained shows a dependency with energy which stems from the fact that the helicity is not conserved in this system. Examining the poles of the 𝑆-matrix we obtain an expression for the bound states.The presence of bound states for this system has not been discussed before in the literature.
metadata.artigo.dc.identifier.uri: https://www.hindawi.com/journals/ahep/2017/8934691/
http://repositorio.ufla.br/jspui/handle/1/29618
metadata.artigo.dc.language: en_US
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