Application of evolutionary algorithms for the model-free determination of scattering matrix and the numerical diagonalization of Nilsson-model Hamiltonian

A new model-free approach for analyzing the intermediate-energy light nucleus-nucleus elastic-scattering differential cross-sections is proposed to extract the numerical dependencies of S-matrix modulus and nuclear phase on angular momentum directly from the experimental data via the evolutionary...

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Datum:2004
Hauptverfasser: Vodin, A.N., Korda, V.Yu., Dovbnya, A.N., Molev, A.S., Korda, L.P.
Format: Artikel
Sprache:English
Veröffentlicht: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2004
Schriftenreihe:Вопросы атомной науки и техники
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Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/80508
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Application of evolutionary algorithms for the model-free determination of scattering matrix and the numerical diagonalization of Nilsson-model Hamiltonian / А.N. Vodin, V.Yu. Korda, А.N. Dovbnya, A.S. Molev, L.P. Korda // Вопросы атомной науки и техники. — 2004. — № 5. — С. 48-54. — Бібліогр.: 32 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung:A new model-free approach for analyzing the intermediate-energy light nucleus-nucleus elastic-scattering differential cross-sections is proposed to extract the numerical dependencies of S-matrix modulus and nuclear phase on angular momentum directly from the experimental data via the evolutionary algorithm. The refractive and absorptive properties of the ¹⁶О – ¹⁶О-interaction at Е = 22…44 МeV/nucleon are studied. The new approach based on a genetic algorithm is presented to diagonalize the Hamiltonian matrix of the Nilsson-model for the deformed axially symmetric nucleus. The tests witness that the larger the matrix size the more effective the genetic approach becomes comparing to the traditional diagonalization methods.