Fermion scattering on topological solitons in the nonlinear O (3) sigma-model
| Parent link: | Physical Review D: covering particles, fields, gravitation, and cosmology Vol. 104, iss. 4.— 2021.— [045011, 20 p.] |
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| Περίληψη: | Title screen The scattering of Dirac fermions in the background fields of topological solitons of the (2+1)- dimensional nonlinear O3 [sigma]-model is studied using both analytical and numerical methods. General formulas describing fermion scattering are obtained and the symmetry properties of the partial scattering amplitudes and elements of the S-matrix are determined. Within the framework of the Born approximation, the scattering amplitudes, differential cross sections, and total cross sections of fermion-soliton scattering are obtained in analytical forms, and their symmetry properties and asymptotic behavior are investigated. The dependences of the first several partial elements of the S-matrix on the momentum of the fermion are obtained using numerical methods, and some properties of these dependences are ascertained and discussed. |
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2021
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| Διαθέσιμο Online: | http://earchive.tpu.ru/handle/11683/71111 https://doi.org/10.1103/PhysRevD.104.045011 |
| Μορφή: | Ηλεκτρονική πηγή Κεφάλαιο βιβλίου |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666422 |
| Περίληψη: | Title screen The scattering of Dirac fermions in the background fields of topological solitons of the (2+1)- dimensional nonlinear O3 [sigma]-model is studied using both analytical and numerical methods. General formulas describing fermion scattering are obtained and the symmetry properties of the partial scattering amplitudes and elements of the S-matrix are determined. Within the framework of the Born approximation, the scattering amplitudes, differential cross sections, and total cross sections of fermion-soliton scattering are obtained in analytical forms, and their symmetry properties and asymptotic behavior are investigated. The dependences of the first several partial elements of the S-matrix on the momentum of the fermion are obtained using numerical methods, and some properties of these dependences are ascertained and discussed. |
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| DOI: | 10.1103/PhysRevD.104.045011 |