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General properties of interaction currents of higher spin fermions and their consequences for πN–scattering
The model for the currents of interactions of higher spin fermions with the 0- and 1/2-spin particles is proposed. These currents obey to the theorem on currents and fields as well as the theorems on current asymptotics. The comparison of the proposed model with partial wave analysis of the πN–scatt...
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Ukrainian State Academy of Railway Transport
2012
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irk-123456789-1069752016-10-11T03:02:11Z General properties of interaction currents of higher spin fermions and their consequences for πN–scattering Kulish, Yu.V. Rybachuk, E.V. Section A. Quantum Field Theory The model for the currents of interactions of higher spin fermions with the 0- and 1/2-spin particles is proposed. These currents obey to the theorem on currents and fields as well as the theorems on current asymptotics. The comparison of the proposed model with partial wave analysis of the πN–scattering in Δ(1232)-region shows the validity of the theorem on currents and fields. It is shown that in consequence of the theorems on current asymptotics the contributions of higher spin nucleon resonances to πN–scattering amplitudes must decrease at high energy at least as s⁻⁶. Предложена модель для токов взаимодействий высокоспиновых фермионов с частицами, обладающими спином 0 и 1/2. Эти токи удовлетворяют теореме о токах и полях и теореме об асимптотике токов. Сравнение предложенной модели с парциально волновыми анализами πN–рассеяния в области Δ(1232) показывает справедливость теоремы о токах и полях. Показано, что вследствие теоремы об асимптотике токов вклады высокоспиновых нуклонных резонансов в амплитуды πN–рассеяния должны убывать при высоких энергиях по крайней мере как s⁻⁶. Запропоновано модель для струмів взаємодій високоспінових ферміонів з частинками, які мають спін 0 та 1/2. Ці струми задовольняють теоремі про струми та поля та теоремі про асимптотику струмів. Порівняння запропонованої моделі з парціально хвильовими аналізами πN–розсіювання в області Δ(1232) показує справедливість теореми про струми і поля. Показано, що внаслідок теореми про асимптотику струмів внески високоспінових нуклонних резонансів в амплітуди πN–розсіювання повинні спадати при високих енергіях по меншій мірі як s⁻⁶. 2012 Article General properties of interaction currents of higher spin fermions and their consequences for πN–scattering / Yu.V. Kulish, E.V. Rybachuk // Вопросы атомной науки и техники. — 2012. — № 1. — С. 27-31. — Бібліогр.: 17 назв. — англ. 1562-6016 PACS: 02.30 Jr, 03.65. Pm, 11.10. J, 11.10 L, 11.10 Q, 11.40 D, 11.80 E, 13.75 G, 14.20 G. http://dspace.nbuv.gov.ua/handle/123456789/106975 en Вопросы атомной науки и техники Ukrainian State Academy of Railway Transport |
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Section A. Quantum Field Theory Section A. Quantum Field Theory |
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Section A. Quantum Field Theory Section A. Quantum Field Theory Kulish, Yu.V. Rybachuk, E.V. General properties of interaction currents of higher spin fermions and their consequences for πN–scattering Вопросы атомной науки и техники |
description |
The model for the currents of interactions of higher spin fermions with the 0- and 1/2-spin particles is proposed. These currents obey to the theorem on currents and fields as well as the theorems on current asymptotics. The comparison of the proposed model with partial wave analysis of the πN–scattering in Δ(1232)-region shows the validity of the theorem on currents and fields. It is shown that in consequence of the theorems on current asymptotics the contributions of higher spin nucleon resonances to πN–scattering amplitudes must decrease at high energy at least as s⁻⁶. |
format |
Article |
author |
Kulish, Yu.V. Rybachuk, E.V. |
author_facet |
Kulish, Yu.V. Rybachuk, E.V. |
author_sort |
Kulish, Yu.V. |
title |
General properties of interaction currents of higher spin fermions and their consequences for πN–scattering |
title_short |
General properties of interaction currents of higher spin fermions and their consequences for πN–scattering |
title_full |
General properties of interaction currents of higher spin fermions and their consequences for πN–scattering |
title_fullStr |
General properties of interaction currents of higher spin fermions and their consequences for πN–scattering |
title_full_unstemmed |
General properties of interaction currents of higher spin fermions and their consequences for πN–scattering |
title_sort |
general properties of interaction currents of higher spin fermions and their consequences for πn–scattering |
publisher |
Ukrainian State Academy of Railway Transport |
publishDate |
2012 |
topic_facet |
Section A. Quantum Field Theory |
url |
http://dspace.nbuv.gov.ua/handle/123456789/106975 |
citation_txt |
General properties of interaction currents of higher spin fermions and their consequences for πN–scattering / Yu.V. Kulish, E.V. Rybachuk // Вопросы атомной науки и техники. — 2012. — № 1. — С. 27-31. — Бібліогр.: 17 назв. — англ. |
series |
Вопросы атомной науки и техники |
work_keys_str_mv |
AT kulishyuv generalpropertiesofinteractioncurrentsofhigherspinfermionsandtheirconsequencesforpnscattering AT rybachukev generalpropertiesofinteractioncurrentsofhigherspinfermionsandtheirconsequencesforpnscattering |
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2023-10-18T20:14:08Z |
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2023-10-18T20:14:08Z |
_version_ |
1796149326940995584 |