Variational treatment of the centre-of-mass motion

M. Boutenf; M. C. Bouten; T. Cornelissens

doi:10.1088/0305-4616/11/2/009

Variational treatment of the centre-of-mass motion

M. Boutenf, M. C. Bouten, T. Cornelissens

Research output › peer-review

Abstract

The weight function in Lipkin’s general expression for eliminating the centre-of-mass coordinate from nuclear wavefunctions has been approximated by a gaussian function exp(-XR2) with one parameter, X, to be determined by a variational calculation. This calculation has been carried out for the ground state of 6Li and the lowest energy has been obtained for a negative value of X. An explanation for this surprising result based on the cluster model is given. The result is also compared with other proposals in the literature for treating the centre-of-mass motion in nuclei.

Original language	English
Pages (from-to)	231-241
Number of pages	11
Journal	Journal of Physics G: Nuclear Physics
Volume	11
Issue number	2
DOIs	https://doi.org/10.1088/0305-4616/11/2/009
State	Published - Feb 1985

ASJC Scopus subject areas

Nuclear and High Energy Physics
General Physics and Astronomy

Access to Document

10.1088/0305-4616/11/2/009

Cite this

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abstract = "The weight function in Lipkin{\textquoteright}s general expression for eliminating the centre-of-mass coordinate from nuclear wavefunctions has been approximated by a gaussian function exp(-XR2) with one parameter, X, to be determined by a variational calculation. This calculation has been carried out for the ground state of 6Li and the lowest energy has been obtained for a negative value of X. An explanation for this surprising result based on the cluster model is given. The result is also compared with other proposals in the literature for treating the centre-of-mass motion in nuclei.",

author = "M. Boutenf and Bouten, {M. C.} and T. Cornelissens",

year = "1985",

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AB - The weight function in Lipkin’s general expression for eliminating the centre-of-mass coordinate from nuclear wavefunctions has been approximated by a gaussian function exp(-XR2) with one parameter, X, to be determined by a variational calculation. This calculation has been carried out for the ground state of 6Li and the lowest energy has been obtained for a negative value of X. An explanation for this surprising result based on the cluster model is given. The result is also compared with other proposals in the literature for treating the centre-of-mass motion in nuclei.

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