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Effective nucleus-nucleus potentials derived from the generator coordinate method

Journal Article:

Abstract

The equivalence of the generator coordinate method (GCM) and the resonating group method (RGM) and the formal equivalence of the RGM and the orthogonality condition model (OCM) lead to a relation connecting the effective nucleus-nucleus potentials of the OCM with matrix elements of the GCM. This relation may be used to derive effective nucleus-nucleus potentials directly from GCM matrix elements without explicit reference to the potentials of the RGM. In a first application local and l-independent effective potentials are derived from diagonal GCM matrix elements which represent the energy surfaces of a two-centre shell model. Using these potentials the OCM can reproduce the results of a full RGM calculation very well for the elastic scattering of two ..cap alpha..-particles and fairly well for elastic /sup 16/O-/sup 16/O scattering.
Authors:
Friedrich, H; Canto, L F [1] 
  1. Oxford Univ. (UK). Dept. of Theoretical Physics
Publication Date:
Nov 07, 1977
Product Type:
Journal Article
Reference Number:
AIX-09-361976; EDB-78-072002
Resource Relation:
Journal Name: Nucl. Phys., A; (Netherlands); Journal Volume: 291:1
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ALPHA REACTIONS; ELASTIC SCATTERING; HELIUM 4 TARGET; OXYGEN 16 REACTIONS; OXYGEN 16 TARGET; CHARGED-PARTICLE REACTIONS; FUNCTIONS; HEAVY ION REACTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MODELS; NUCLEAR REACTIONS; QUANTUM OPERATORS; SCATTERING; TARGETS; VARIATIONAL METHODS; 651315* - Nuclear Properties & Reactions, A=6-19, Theoretical- Nuclear Reactions & Scattering- (-1987); 651215 - Nuclear Properties & Reactions, A=1-5, Theoretical- Nuclear Reactions & Scattering- (-1987)
OSTI ID:
5106893
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: NUPAB
Submitting Site:
INIS
Size:
Pages: 249-268
Announcement Date:
Mar 01, 1978

Journal Article:

Citation Formats

Friedrich, H, and Canto, L F. Effective nucleus-nucleus potentials derived from the generator coordinate method. Netherlands: N. p., 1977. Web.
Friedrich, H, & Canto, L F. Effective nucleus-nucleus potentials derived from the generator coordinate method. Netherlands.
Friedrich, H, and Canto, L F. 1977. "Effective nucleus-nucleus potentials derived from the generator coordinate method." Netherlands.
@misc{etde_5106893,
title = {Effective nucleus-nucleus potentials derived from the generator coordinate method}
author = {Friedrich, H, and Canto, L F}
abstractNote = {The equivalence of the generator coordinate method (GCM) and the resonating group method (RGM) and the formal equivalence of the RGM and the orthogonality condition model (OCM) lead to a relation connecting the effective nucleus-nucleus potentials of the OCM with matrix elements of the GCM. This relation may be used to derive effective nucleus-nucleus potentials directly from GCM matrix elements without explicit reference to the potentials of the RGM. In a first application local and l-independent effective potentials are derived from diagonal GCM matrix elements which represent the energy surfaces of a two-centre shell model. Using these potentials the OCM can reproduce the results of a full RGM calculation very well for the elastic scattering of two ..cap alpha..-particles and fairly well for elastic /sup 16/O-/sup 16/O scattering.}
journal = {Nucl. Phys., A; (Netherlands)}
volume = {291:1}
journal type = {AC}
place = {Netherlands}
year = {1977}
month = {Nov}
}