Rational Form of Amplitude and Its Asymptotic Factorization
We provide arguments for the use of the rational form of unitarization, its relation with the diffraction peak shrinkage and asymptotics of the inelastic cross-section. The particular problems of the Regge model and the exponential form of unitarization with a factorized eikonal are discussed as wel...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/14/7/1292 |
| _version_ | 1797415498501062656 |
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| author | Sergey Mikhailovich Troshin Nikolai Evgenjevich Tyurin |
| author_facet | Sergey Mikhailovich Troshin Nikolai Evgenjevich Tyurin |
| author_sort | Sergey Mikhailovich Troshin |
| collection | DOAJ |
| description | We provide arguments for the use of the rational form of unitarization, its relation with the diffraction peak shrinkage and asymptotics of the inelastic cross-section. The particular problems of the Regge model and the exponential form of unitarization with a factorized eikonal are discussed as well. A central role belongs to the asymptotic amplitude factorization resulting from Mandelstam analyticity and its symmetry over the scattering variables. |
| first_indexed | 2024-03-09T05:48:28Z |
| format | Article |
| id | doaj.art-c3fa4850f4da4d47a41668cb1c857ba2 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T05:48:28Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-c3fa4850f4da4d47a41668cb1c857ba22023-12-03T12:19:12ZengMDPI AGSymmetry2073-89942022-06-01147129210.3390/sym14071292Rational Form of Amplitude and Its Asymptotic FactorizationSergey Mikhailovich Troshin0Nikolai Evgenjevich Tyurin1NRC “Kurchatov Institute”—IHEP, Protvino 142281, RussiaNRC “Kurchatov Institute”—IHEP, Protvino 142281, RussiaWe provide arguments for the use of the rational form of unitarization, its relation with the diffraction peak shrinkage and asymptotics of the inelastic cross-section. The particular problems of the Regge model and the exponential form of unitarization with a factorized eikonal are discussed as well. A central role belongs to the asymptotic amplitude factorization resulting from Mandelstam analyticity and its symmetry over the scattering variables.https://www.mdpi.com/2073-8994/14/7/1292elastic scatteringunitaritydiffraction peakvirtual particles |
| spellingShingle | Sergey Mikhailovich Troshin Nikolai Evgenjevich Tyurin Rational Form of Amplitude and Its Asymptotic Factorization Symmetry elastic scattering unitarity diffraction peak virtual particles |
| title | Rational Form of Amplitude and Its Asymptotic Factorization |
| title_full | Rational Form of Amplitude and Its Asymptotic Factorization |
| title_fullStr | Rational Form of Amplitude and Its Asymptotic Factorization |
| title_full_unstemmed | Rational Form of Amplitude and Its Asymptotic Factorization |
| title_short | Rational Form of Amplitude and Its Asymptotic Factorization |
| title_sort | rational form of amplitude and its asymptotic factorization |
| topic | elastic scattering unitarity diffraction peak virtual particles |
| url | https://www.mdpi.com/2073-8994/14/7/1292 |
| work_keys_str_mv | AT sergeymikhailovichtroshin rationalformofamplitudeanditsasymptoticfactorization AT nikolaievgenjevichtyurin rationalformofamplitudeanditsasymptoticfactorization |