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 208ΛPb hypernucleus is considered.
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Submitted on : Wednesday, June 16, 2010 - 5:13:02 PM Last modification on : Wednesday, September 16, 2020 - 4:08:30 PM
R. Mezhoud, R. J. Lombard. Spectral analysis: a consistency criterion. Application to the 208ΛPb hypernucleus. Journal of Physics G: Nuclear and Particle Physics, IOP Publishing, 2010, 37, pp.075103. ⟨10.1088/0954-3899/37/7/075103⟩. ⟨in2p3-00492740⟩