Bohr Hamiltonian with different mass coefficients for the ground- and γ bands from experimental data

Based on experimental data for axially symmetric well deformed nuclei it is shown that the ``Grodzins product'' of the energy of the ${2}_{\ensuremath{\gamma}}^{+}$ state with the $B(E2;{2}_{\ensuremath{\gamma}}^{+}\ensuremath{\rightarrow}{0}_{\mathrm{g}.\mathrm{s}.}^{+})$ for the transition from the ${2}_{\ensuremath{\gamma}}^{+}$ state to the ground state is a relatively smooth function of $Z$ and $A$. It is shown also that a ratio of the mass coefficients for the \ensuremath{\gamma}-motion and for the rotational ground band extracted from the experimental data take the values in the limits 3--5. The implied large difference between the two mass coefficients means that the mass tensor of the Bohr Hamiltonian cannot be reduced to a scalar as it usually assumed.

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