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The impact of beyond mean field effects on the ground state and fissionproperties of superheavy nuclei has been investigated in a five-dimensionalcollective Hamiltonian based on covariant density functional theory. Theinclusion of dynamical correlations reduces the impact of the $Z=120$ shellclosure and induces substantial collectivity for the majority of the $Z=120$nuclei which otherwise are spherical at the mean field level (as seen in thecalculations with the PC-PK1 functional). Thus, they lead to a substantialconvergence of the predictions of the functionals DD-PC1 and PC-PK1 which aredifferent at the mean field level. On the contrary, the predictions of thesetwo functionals remain distinctly different for the $N=184$ nuclei even whendynamical correlations are included. These nuclei are mostly spherical (oblate)in the calculations with PC-PK1 (DD-PC1).  Our calculations for the first time reveal significant impact of dynamicalcorrelations on the heights of inner fission barriers of superheavy nuclei withsoft potential energy surfaces, the minimum of which at the mean field level islocated at spherical shape. These correlations affect the fission barriers ofthe nuclei, which are deformed in the ground state at the mean field level, toa lesser degree.

physical review. c

Superheavy nuclei in microscopic collective Hamiltonian approach: the  impact of beyond mean field correlations on the ground state and fission  properties