Capture process in nuclear reactions with a quantum master equation
Аннотация
Projectile-nucleus capture by a target nucleus at bombarding energies in the vicinity of the Coulomb barrier is treated with the reduced-density-matrix formalism. The effects of dissipation and fluctuations on the capture process are taken self-consistently into account within the quantum model suggested. The excitation functions for the capture in the reactions $^{16}\mathrm{O}$, $^{19}\mathrm{F}$, $^{26}\mathrm{Mg}$, $^{28}\mathrm{Si}$, $^{32,34,36,38}\mathrm{S}$, $^{40,48}\mathrm{Ca}$, $^{50}\mathrm{Ti}$, $^{52}\mathrm{Cr}$$+$$^{208}\mathrm{Pb}$ with spherical nuclei are calculated and compared with the experimental data. At bombarding energies about (15--25) MeV above the Coulomb barrier the maximum of capture cross section is revealed for the $^{58}\mathrm{Ni}$$+$$^{208}\mathrm{Pb}$ reaction.