Fermion scattering on topological solitons in the nonlinear O (3) sigma-model

Bibliographic Details
Parent link:Physical Review D: covering particles, fields, gravitation, and cosmology
Vol. 104, iss. 4.— 2021.— [045011, 20 p.]
Main Author: Loginov A. Yu. Aleksey Yurievich
Corporate Author: Национальный исследовательский Томский политехнический университет Инженерная школа неразрушающего контроля и безопасности Испытательный центр Лаборатория радиационных испытаний материалов и изделий
Summary: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.
Published: 2021
Subjects:
Online Access:http://earchive.tpu.ru/handle/11683/71111
https://doi.org/10.1103/PhysRevD.104.045011
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666422