1980
DOI: 10.1103/physrevc.22.2222
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Exact solutions to the center of mass problem in a model theory

Abstract: A model theory, standard time-independent perturbation theory in a harmonic oscillator shell model basis, is used to investigate various aspects of the center of mass problem. In this model it is shown that the center of mass problem can be solved by projection techniques, but that the way in which one projects is crucial. The apropriate projection functions are found to be const&(R '" for wave function projection and I for density projection. The former illustrates, among other things, that the center of mass… Show more

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Cited by 7 publications
(15 citation statements)
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“…(13), we obtain the familiar c.m. correction factor ͓A / ͑A −1͔͒ ͑2n+l͒/2 [7][8][9][10][11][12][13].…”
Section: Single-nucleon Projectilementioning
confidence: 99%
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“…(13), we obtain the familiar c.m. correction factor ͓A / ͑A −1͔͒ ͑2n+l͒/2 [7][8][9][10][11][12][13].…”
Section: Single-nucleon Projectilementioning
confidence: 99%
“…New experiments are under way or planned, however, to explore this nucleus. One of such experiments is the inverse-kinematic d͑ 8 Li, p͒ scattering [58]. It is therefore useful to perform theoretical calculations of the ͗ 9 Li͉ 8 Li + n͘ spectroscopic factors.…”
Section: š 9 Liͦ 8 Li+ N‹mentioning
confidence: 99%
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“…In some of them the treatment of the CM motion is built right into the theory one is using [12,13,14]. In the majority of the efforts the restoration of translational invariance is attempted after the wavefunctions have been developed.…”
Section: Introductionmentioning
confidence: 99%
“…component. The ways to remove these components and obtain physical matrix elements of different operators were investigated in the past [4][5][6][7][8][9][10]. Typically, in earlier investigations the basis space was limited to a single major HO shell.…”
Section: Introductionmentioning
confidence: 99%