Nuclear molecule of heavy nuclei

Abstract

The model of a nuclear molecule that composed of two heavy nuclei is proposed. To this aim the Hamiltonian of a dinuclear system is derived and diagonalized in the basis of bipolar spherical functions. Analytical expressions, describing excitations of highly deformed states of a nuclear molecule, are obtained. A remarkable agreement between numerical and analytical results is demonstrated at the description of roto-vibrational excitations in ${}^{240}$Pu at low energies. We provide the prediction for the spectrum of hyperdeformed states of the nucleus ${}^{232}$Th, considering it as a nuclear molecule that consists of ${}^{132}$Sn+${}^{100}$Zr nuclei. The angular distribution of fission fragments for the nucleus ${}^{240}$Pu have been analyzed as well and compared with available experimental data.

49 pages, 13 figures