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Isoscalar monopole and quadrupole modes in Mo isotopes: Microscopic analysis

Publication at Faculty of Mathematics and Physics |
2020

Abstract

The recent RCNP (alpha, alpha') data on the Isoscalar Giant Monopole Resonance (ISGMR) and Isoscalar Giant Quadrupole Resonance (ISGQR) in Mo-92,Mo-94,Mo-96,Mo-98,Mo-100 are analyzed within a fully self-consistent Quasiparticle Random Phase Approximation (QRPA) approach with Skyrme interactions, in which pairing correlations and possible axial deformations are taken into account. The Skyrme sets SkM*, SLy6, SVbas and SkP(delta), that explore a diversity of nuclear matter properties, are used.

We discuss the connection between the line shape of the monopole strength ISGMR and the deformation-induced coupling between the ISGMR and the K = 0 branch of the ISGQR. The ISGMR is best described by the force SkP(delta), having a low incompressibility K-infinity = 202 MeV.

The ISGQR data are better reproduced by SVbas, that has large isoscalar effective mass m*/m = 0.9. The need of a functional that can describe simultaneously the ISGMR and ISGQR data is stressed, with the requirement of suitable values of K-infinity and m*/m.

Possible extensions of the QRPA to deal with soft systems are also envisaged. (C) 2020 The Author(s). Published by Elsevier B.V.