Octupole correlations in collective excitations of neutron-rich $N\approx 56$ nuclei

Abstract

Octupole correlations in the low-energy collective states of neutron-rich nuclei with the neutron number $N\approx 56$ are studied within the interacting boson model (IBM) that is based on the nuclear density functional theory. The constrained self-consistent mean-field (SCMF) calculations using a universal energy density functional and a pairing interaction provide the potential energy surfaces in terms of the axially-symmetric quadrupole and octupole deformations for the even-even nuclei ${}^{86-94}$Se, ${}^{88-96}$Kr, ${}^{90-98}$Sr, ${}^{92-100}$Zr, and ${}^{94-102}$Mo. The SCMF energy surface is then mapped onto the energy expectation value of a version of the IBM in the boson condensate state, which consists of the neutron and proton monopole $s$, quadrupole $d$, and octupole $f$ bosons. This procedure determines the strength parameters of the IBM Hamiltonian, which is used to compute relevant spectroscopic properties. At the SCMF level, no octupole deformed ground state is obtained, while the energy surface is generally soft in the octupole deformation at $N\approx 56$. The predicted negative-parity yrast bands with the bandhead state $3_1^{-}$ weakly depend on $N$ and become lowest in energy at $N=56$ in each of the considered isotopic chains. The model further predicts finite electric octupole transition rates between the lowest negative- and the positive-parity ground-state bands.

19 pages, 13 figures, 4 tables

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