Effective nucleus-nucleus potentials derived from the generator coordinate method

H. Friedrich; L. F. Canto

doi:10.1016/0375-9474(77)90210-X

Effective nucleus-nucleus potentials derived from the generator coordinate method

H. Friedrich, L. F. Canto

University of Oxford

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

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 α-particles and fairly well for elastic ¹⁶O-¹⁶O scattering.

Original language	English
Pages (from-to)	249-268
Number of pages	20
Journal	Nuclear Physics, Section A
Volume	291
Issue number	1
DOIs	https://doi.org/10.1016/0375-9474(77)90210-X
State	Published - 7 Nov 1977
Externally published	Yes

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title = "Effective nucleus-nucleus potentials derived from the generator coordinate method",

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 α-particles and fairly well for elastic 16O-16O scattering.",

author = "H. Friedrich and Canto, {L. F.}",

note = "Funding Information: r Also : Institut far Theoretische Physik I, Milnater, W. Germany (present address) ; supported by the Deutsche Forschungsgemeinschaft. rr Supported by the CNPq Brazil ; present address : Universidade Federal do Rio de Janeiro, Instituto de Fisica Ilha do Fundao, Brazil.",

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doi = "10.1016/0375-9474(77)90210-X",

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T1 - Effective nucleus-nucleus potentials derived from the generator coordinate method

AU - Friedrich, H.

AU - Canto, L. F.

N1 - Funding Information: r Also : Institut far Theoretische Physik I, Milnater, W. Germany (present address) ; supported by the Deutsche Forschungsgemeinschaft. rr Supported by the CNPq Brazil ; present address : Universidade Federal do Rio de Janeiro, Instituto de Fisica Ilha do Fundao, Brazil.

PY - 1977/11/7

Y1 - 1977/11/7

N2 - 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 α-particles and fairly well for elastic 16O-16O scattering.

AB - 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 α-particles and fairly well for elastic 16O-16O scattering.

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U2 - 10.1016/0375-9474(77)90210-X

DO - 10.1016/0375-9474(77)90210-X

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VL - 291

SP - 249

EP - 268

JO - Nuclear Physics, Section A

JF - Nuclear Physics, Section A

IS - 1

ER -

Effective nucleus-nucleus potentials derived from the generator coordinate method

Abstract

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