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Anharmonicities in vibrational spectra of deformed nuclei discussed in a simple model

Authors
Journal
Nuclear Physics A
0375-9474
Publisher
Elsevier
Publication Date
Volume
349
Identifiers
DOI: 10.1016/0375-9474(80)90445-5

Abstract

Abstract Some microscopic treatments of nuclear vibrational spectra are analyzed in terms of a model allowing an exact solution for a many-body nucleon system interacting via the pairing-plus-quadrupole force. The multiphonon approach — exact diagonalization in the restricted space of 1, 2, 3, … collective phonons — appears satisfactory for the few lowest-lying vibration K π = 0 + states in deformed nuclei. The non-conservation of the number of particles and coupling between collective and non-collective states seem to be the main sources of the discrepancies that occur for the higher states. On the other hand, the lowest-order contributions suggested by nuclear field theory lead to serious disagreement as compared with the exact solutions.

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