Abstract
We study the β-vibrational spectrum of the putative double magic superheavy nucleus 292120, as predicted by the relativistic mean-field (RMF) model in a phenomenological collective approach and compare it with the one of the well-known double magic heavy nuclei 208Pb. Results are also presented for the elements 300120 and 298114. We use a selection of different mean-field forces and discuss their different predictions and the consequences for the collective modes.In the framework of the macroscopic model for giant resonances we compute the transition densities of the isoscalar monopole, quadrupole and octupole, and isovector dipole modes for the superheavy element 292120, whose ground state density is determined from the RMF model. The results are also compared to those of 208Pb.
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