Determination of two-body potentials from n-body spectra
Nuclear Theory
2009-10-22 v1
Abstract
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.
Keywords
Cite
@article{arxiv.nucl-th/9302010,
title = {Determination of two-body potentials from n-body spectra},
author = {E. J. O. Gavin and H. Leeb and H. Fiedeldey},
journal= {arXiv preprint arXiv:nucl-th/9302010},
year = {2009}
}
Comments
13 pages of text (LATEX), 3 figures (not included, available from authors), NIKHEF-93-P3