Spectral analysis : a consistency criterion. application to the 208 Λ Pb hypernucleus

Abstract

We present a consistency criterion applicable to spectral data analysis in the case of a particle in a local potential. The method relies on the connection between the yrast energies and the ground state density moments, as well as on the technique used to determine the value of a positive definite function at the origin from its moments. As an illustrative example, the spectrum of the 208 Pb hypernucleus is considered