Scattering and Bound States of a Spin-1/2 Neutral Particle in the Cosmic String Spacetime
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 char...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/8934691 |
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| author | Fabiano M. Andrade Cleverson Filgueiras Edilberto O. Silva |
| author_facet | Fabiano M. Andrade Cleverson Filgueiras Edilberto O. Silva |
| author_sort | Fabiano M. Andrade |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b823c5704a5b4281b2929a5247b49fda |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-b823c5704a5b4281b2929a5247b49fda2025-02-03T05:46:36ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/89346918934691Scattering and Bound States of a Spin-1/2 Neutral Particle in the Cosmic String SpacetimeFabiano M. Andrade0Cleverson Filgueiras1Edilberto O. Silva2Department of Computer Science and Department of Physics and Astronomy, University College London, London WC1E 6BT, UKDepartamento de Física, Universidade Federal de Lavras, Caixa Postal 3037, 37200-000 Lavras, MG, BrazilDepartamento de Física, Universidade Federal do Maranhão, 65085-580 São Luís, MA, BrazilIn 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.http://dx.doi.org/10.1155/2017/8934691 |
| spellingShingle | Fabiano M. Andrade Cleverson Filgueiras Edilberto O. Silva Scattering and Bound States of a Spin-1/2 Neutral Particle in the Cosmic String Spacetime Advances in High Energy Physics |
| title | Scattering and Bound States of a Spin-1/2 Neutral Particle in the Cosmic String Spacetime |
| title_full | Scattering and Bound States of a Spin-1/2 Neutral Particle in the Cosmic String Spacetime |
| title_fullStr | Scattering and Bound States of a Spin-1/2 Neutral Particle in the Cosmic String Spacetime |
| title_full_unstemmed | Scattering and Bound States of a Spin-1/2 Neutral Particle in the Cosmic String Spacetime |
| title_short | Scattering and Bound States of a Spin-1/2 Neutral Particle in the Cosmic String Spacetime |
| title_sort | scattering and bound states of a spin 1 2 neutral particle in the cosmic string spacetime |
| url | http://dx.doi.org/10.1155/2017/8934691 |
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