Quantization of the kinetic energy of a deformed nucleus in curvilinear coordinates

Abstract

The quantization of the kinetic energy of a deformed nucleus in curvilinear coordinates in the case of octupole oscillations of its surface firstly has been carried out. The obtained form of the Hamiltonian differs from the previously obtained Hamiltonian for quadrupole oscillations only by factors in front of the derivatives $\partial/\partial\gamma$ and $\partial/\partial\eta$. An explicit form of the kinetic energy of the Hamiltonian of even-even nuclei with free and effective triaxiality, as well as for axially symmetric even-even nuclei, is given.