Application of extension theory to antiproton-nucleon systems with continuous set of resonances in annihilation channel
| Autor: | S. B. Levin, Yu. A. Kuperin, Evgeny Yarevsky, Yu. Melnikov |
|---|---|
| Rok vydání: | 1997 |
| Předmět: |
Angular momentum
Scattering Continuous spectrum Hilbert space Annihilation Scattering length Computational Mathematics symbols.namesake Computational Theory and Mathematics Modelling and Simulation Resonances Modeling and Simulation Quantum electrodynamics symbols Self-adjoint extensions Boundary value problem Scattering theory Cross-sections Nucleon Mathematics |
| Zdroj: | Scopus-Elsevier |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/s0898-1221(97)00153-3 |
| Popis: | Laboratory of the Complex Systems Theory Institute for Physics, St. Petersburg State University St. Petersburg, 198904, Russia Abstract--The exact expressions for scattering length and partial total cross-section for l~n and l~p systems are obtained in the frame of the extended Hilbert space model with continuous spectrum of resonances treated as an annihilation channel. The numerical algorithm for scattering data calculation is suggested. The numerical calculations for pn and pp scattering data at angular momentum L = 0, 1, 2, 3 are performed on this base. The interaction parameters are fitted via two-body scattering data. A satisfactory agreement between experimental and theoretical data is obtained. Keywords--Annihilation, Continuous spectrum, Resonances, Self-adjoint extensions, Boundary value problem, Scattering length, Cross-sections. |
| Databáze: | OpenAIRE |
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