Scattering and Bound States of a Spin-1-2 Neutral Particle in the Cosmic String SpacetimeReportar como inadecuado

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Advances in High Energy Physics - Volume 2017 2017, Article ID 8934691, 7 pages -

Research Article

Department of Computer Science and Department of Physics and Astronomy, University College London, London WC1E 6BT, UK

Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, 84030-900 Ponta Grossa, PR, Brazil

Departamento de Física, Universidade Federal de Lavras, Caixa Postal 3037, 37200-000 Lavras, MG, Brazil

Departamento de Física, Universidade Federal do Maranhão, 65085-580 São Luís, MA, Brazil

Correspondence should be addressed to Fabiano M. Andrade

Received 11 November 2016; Accepted 11 January 2017; Published 31 January 2017

Academic Editor: Andrzej Okniński

Copyright © 2017 Fabiano M. Andrade et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP



In this paper the relativistic quantum dynamics of a spin-1-2 neutral particle with a magnetic moment 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: . 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 -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 -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.

Autor: Fabiano M. Andrade, Cleverson Filgueiras, and Edilberto O. Silva



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