Mass tensor in the Bohr Hamiltonian from the nondiagonal energy weighted sum rules

Relations are derived in the framework of the Bohr Hamiltonian that express the matrix elements of the deformation-dependent components of the mass tensor through the experimental data on the energies and the $E2$ transitions relating the low-lying collective states. These relations extend the previously obtained results for the intrinsic mass coefficients of the well-deformed axially symmetric nuclei on nuclei of arbitrary shape. The expression for the mass tensor is suggested, which is sufficient to satisfy the existing experimental data on the energy weighted sum rules for the $E2$ transitions for the low-lying collective quadrupole excitations. The mass tensor is determined for $^{106,108}\mathrm{Pd}$, $^{108\text{\ensuremath{-}}112}\mathrm{Cd}$, $^{134}\mathrm{Ba}$, $^{150}\mathrm{Nd}$, $^{150\ensuremath{-}154}\mathrm{Sm}$, $^{154\ensuremath{-}160}\mathrm{Gd}$, $^{164}\mathrm{Dy}$, $^{172}\mathrm{Yb}$, $^{178}\mathrm{Hf}$, $^{188\text{\ensuremath{-}}192}\mathrm{Os}$, and $^{194\text{\ensuremath{-}}196}\mathrm{Pt}$.

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