Formation of hyperdeformed states in capture reactions at sub-barrier energies
Abstract
The high-spin hyperdeformed nuclear states treated as dinuclear or quasimolecular configurations are suggested to be directly populated in heavy ion collisions at sub-barrier energies. Tunneling through the Coulomb barrier is considered using the quantum diffusion approach based on the formalism of reduced density matrix. The reactions $^{48}\mathrm{Ca}+^{86}\mathrm{Kr}$,$^{124}\mathrm{Sn}$,$^{136}\mathrm{Xe}$,$^{138}\mathrm{Ba}$,$^{140}\mathrm{Ce}$, $^{58}\mathrm{Ni}+^{58}\mathrm{Ni}$, and $^{40,48}\mathrm{Ca}+^{40,48}\mathrm{Ca}$, are suggested for populating high-spin hyperdeformed states. The partial production and identification cross sections for the hyperdeformed states are calculated as the functions of bombarding energy.