Mixed-symmetry states inNd144: Semimicroscopic accounting within the cluster vibration model and its mapping into the interacting boson model

We have investigated the structure of ${}_{}{}^{144}{}_{}{}^{}\mathrm{Nd}_{84}^{}{}_{}{}^{}$ within the framework of the cluster vibration model. Further, we have mapped, approximately, the cluster vibration model states into the proton-neutron interacting-boson model, with particular emphasis on the mixed-symmetry states, hindered transitions, quadrupole moment signs, and higher-angular-momentum pairs. The cluster vibration model $2^{+}$ (3) state and its properties correspond to the experimentally determined properties and map into the mixed-symmetry state of the proton-neutron interacting-boson model. We compare the calculations with recent in-beam (t,p) multiparameter (particle, gamma, gamma/conversion-electron) coincidence studies, which have established the positive-parity spectra up to 3 MeV. Some evidence is given for $0^{+}$ and $1^{+}$ levels associated with the $2^{+}$ (3) mixed-symmetry state.