Electromagnetic form factors, Tchebichef polynomials and generalized Rosenbluth formula
Elastic scattering of the ultra relativistic polarized electrons on atomic nucleus with arbitrary spin is considered. The covariant parameterization of the electromagnetic current for a particle with arbitrary spin is used. This parameterization is based on the Bargman - Wigner formalism for the des...
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Institute for Nuclear Research, National Academy of Sciences of Ukraine
2011-06-01
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Online Access: | http://jnpae.kinr.kiev.ua/12.2/Articles_PDF/jnpae-2011-12-0149-Maslov.pdf |
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doaj-d6c2d643c41e4f708353f008a8b3f54a2020-11-24T21:19:16ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineÂderna Fìzika ta Energetika1818-331X2074-05652011-06-01122149152Electromagnetic form factors, Tchebichef polynomials and generalized Rosenbluth formulaV. N. Maslov0Yu. P. Stepanovsky1Theoretical Physics Department, V. N. Karazin Kharkiv National University, Kharkiv, UkraineNational Science Center “Kharkiv Institute of Physics and Technology”, National Academy of Sciences of Ukraine, Kharkiv, UkraineElastic scattering of the ultra relativistic polarized electrons on atomic nucleus with arbitrary spin is considered. The covariant parameterization of the electromagnetic current for a particle with arbitrary spin is used. This parameterization is based on the Bargman - Wigner formalism for the description of arbitrary spin particles (atomic nuclei) with using Tchebichef polynomials of a discrete variable for determination of the “physical” electromagnetic form factors that are electric and magnetic multipole momenta in the Breit reference frame. The generalized Rosenbluth formula is obtained for the cross section of the ultra relativistic electron scattering in a laboratory system in terms of the “physical” electromagnetic form factors as well as the initial and final polarization characteristics of the electron.http://jnpae.kinr.kiev.ua/12.2/Articles_PDF/jnpae-2011-12-0149-Maslov.pdfelastic scatteringrelativistic energypolarized electronselectromagnetic form factorsBargman -Tchebichef polynomialsRosenbluth formula.Wigner formalismRosenbluth formula. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
V. N. Maslov Yu. P. Stepanovsky |
spellingShingle |
V. N. Maslov Yu. P. Stepanovsky Electromagnetic form factors, Tchebichef polynomials and generalized Rosenbluth formula Âderna Fìzika ta Energetika elastic scattering relativistic energy polarized electrons electromagnetic form factors Bargman - Tchebichef polynomials Rosenbluth formula. Wigner formalism Rosenbluth formula. |
author_facet |
V. N. Maslov Yu. P. Stepanovsky |
author_sort |
V. N. Maslov |
title |
Electromagnetic form factors, Tchebichef polynomials and generalized Rosenbluth formula |
title_short |
Electromagnetic form factors, Tchebichef polynomials and generalized Rosenbluth formula |
title_full |
Electromagnetic form factors, Tchebichef polynomials and generalized Rosenbluth formula |
title_fullStr |
Electromagnetic form factors, Tchebichef polynomials and generalized Rosenbluth formula |
title_full_unstemmed |
Electromagnetic form factors, Tchebichef polynomials and generalized Rosenbluth formula |
title_sort |
electromagnetic form factors, tchebichef polynomials and generalized rosenbluth formula |
publisher |
Institute for Nuclear Research, National Academy of Sciences of Ukraine |
series |
Âderna Fìzika ta Energetika |
issn |
1818-331X 2074-0565 |
publishDate |
2011-06-01 |
description |
Elastic scattering of the ultra relativistic polarized electrons on atomic nucleus with arbitrary spin is considered. The covariant parameterization of the electromagnetic current for a particle with arbitrary spin is used. This parameterization is based on the Bargman - Wigner formalism for the description of arbitrary spin particles (atomic nuclei) with using Tchebichef polynomials of a discrete variable for determination of the “physical” electromagnetic form factors that are electric and magnetic multipole momenta in the Breit reference frame. The generalized Rosenbluth formula is obtained for the cross section of the ultra relativistic electron scattering in a laboratory system in terms of the “physical” electromagnetic form factors as well as the initial and final polarization characteristics of the electron. |
topic |
elastic scattering relativistic energy polarized electrons electromagnetic form factors Bargman - Tchebichef polynomials Rosenbluth formula. Wigner formalism Rosenbluth formula. |
url |
http://jnpae.kinr.kiev.ua/12.2/Articles_PDF/jnpae-2011-12-0149-Maslov.pdf |
work_keys_str_mv |
AT vnmaslov electromagneticformfactorstchebichefpolynomialsandgeneralizedrosenbluthformula AT yupstepanovsky electromagneticformfactorstchebichefpolynomialsandgeneralizedrosenbluthformula |
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