Determination of two-body potentials from n-body spectra

Details Determination of two-body potentials from n-body spectra Determination of two-body potentials from n-body spectra

1993-02-23

arxiv.org/abs/nucl-th/9302010v1

Physics

Nuclear Physics

Nuclear Theory

13 pages of text (LATEX), 3 figures (not included, available from authors), NIKHEF-93-P3

Scientific paper

10.1103/PhysRevA.48.3504

We show how the two-body potential may be uniquely determined from n-body spectra where the hypercentral approximation is valid. We illustrate this by considering an harmonic oscillator potential which has been altered by changing the energy or normalisation constant of the ground state of the n-body system and finding how this modifies the two-body potential. It is shown that with increasing number of particles the spectrum must be known more precisely to obtain the two-body potential to the same degree of accuracy.

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