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Title: Elastic {sup 16}O{sup 16}O scattering at E({sup 16}O) = 350 MeV and new method for a model-independent determination of the scattering matrix

Abstract

A new approach that can be used to extract the scattering matrix S(l) as a complex-valued function of the orbital angular momentum l directly from experimental data on elastic nucleus-nucleus scattering at intermediate energies without resort to additional model assumptions is developed on the basis of the evolutionary algorithm. Owing to the fact that the behavior of the derivatives of S(l) is automatically monitored within this approach, the scattering matrix obtained for {sup 16}O{sup 16}O interaction at an energy of 350 MeV is determined by its absolute value and the nuclear phase shift, which are smooth monotonic functions of the orbital angular momentum. Moreover, the result involves no distortions, the form of the quantum deflection function being typical of the nuclear-rainbow pattern. It is shown that the ultimate form of S(l) is independent of input representations of the scattering matrix, which were usually taken on the basis of various phenomenological models.

Authors:
; ;  [1]
  1. National Academy of Sciences of Ukraine, Institute of Electrophysics and Radiation Technologies (Ukraine)
Publication Date:
OSTI Identifier:
21075860
Resource Type:
Journal Article
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 70; Journal Issue: 6; Other Information: DOI: 10.1134/S1063778807060075; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ALGORITHMS; COMPLEX MANIFOLDS; ELASTIC SCATTERING; FUNCTIONS; MATRICES; MEV RANGE 100-1000; NUCLEON-NUCLEON INTERACTIONS; ORBITAL ANGULAR MOMENTUM; OXYGEN 16; PHASE SHIFT

Citation Formats

Korda, V Yu, Molev, A S, and Korda, L P. Elastic {sup 16}O{sup 16}O scattering at E({sup 16}O) = 350 MeV and new method for a model-independent determination of the scattering matrix. United States: N. p., 2007. Web. doi:10.1134/S1063778807060075.
Korda, V Yu, Molev, A S, & Korda, L P. Elastic {sup 16}O{sup 16}O scattering at E({sup 16}O) = 350 MeV and new method for a model-independent determination of the scattering matrix. United States. doi:10.1134/S1063778807060075.
Korda, V Yu, Molev, A S, and Korda, L P. Fri . "Elastic {sup 16}O{sup 16}O scattering at E({sup 16}O) = 350 MeV and new method for a model-independent determination of the scattering matrix". United States. doi:10.1134/S1063778807060075.
@article{osti_21075860,
title = {Elastic {sup 16}O{sup 16}O scattering at E({sup 16}O) = 350 MeV and new method for a model-independent determination of the scattering matrix},
author = {Korda, V Yu and Molev, A S and Korda, L P},
abstractNote = {A new approach that can be used to extract the scattering matrix S(l) as a complex-valued function of the orbital angular momentum l directly from experimental data on elastic nucleus-nucleus scattering at intermediate energies without resort to additional model assumptions is developed on the basis of the evolutionary algorithm. Owing to the fact that the behavior of the derivatives of S(l) is automatically monitored within this approach, the scattering matrix obtained for {sup 16}O{sup 16}O interaction at an energy of 350 MeV is determined by its absolute value and the nuclear phase shift, which are smooth monotonic functions of the orbital angular momentum. Moreover, the result involves no distortions, the form of the quantum deflection function being typical of the nuclear-rainbow pattern. It is shown that the ultimate form of S(l) is independent of input representations of the scattering matrix, which were usually taken on the basis of various phenomenological models.},
doi = {10.1134/S1063778807060075},
journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 6,
volume = 70,
place = {United States},
year = {2007},
month = {6}
}