Fermion scattering on topological solitons in the nonlinear O (3) sigma-model; Physical Review D; Vol. 104, iss. 4

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Parent link:Physical Review D: covering particles, fields, gravitation, and cosmology
Vol. 104, iss. 4.— 2021.— [045011, 20 p.]
Hlavní autor: Loginov A. Yu. Aleksey Yurievich
Korporativní autor: Национальный исследовательский Томский политехнический университет Инженерная школа неразрушающего контроля и безопасности Испытательный центр Лаборатория радиационных испытаний материалов и изделий
Shrnutí: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.
Jazyk:angličtina
Vydáno: 2021
Témata:
On-line přístup:http://earchive.tpu.ru/handle/11683/71111
https://doi.org/10.1103/PhysRevD.104.045011
Médium: MixedMaterials Elektronický zdroj Kapitola
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666422

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330 |a 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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