Abstract
An exact solution of channel coupling equations describing the relative motion of two heavy clusters was analyzed without additional (commonly used) simplifications concerning a restricted number of the channels and low excitation energy in comparison with the total energy. It was found that excitation of even very simple quantum system with only one degree of freedom may reveal the dissipative features at slow collisions if the spectra of this system is sufficiently random. An excitation of such a system at sub-barrier tunnelling increases significantly (by several orders) the transmission probability, in spite of the large dissipation of relative motion kinetic energy occurs. At deep sub-barrier energies the soft degrees of freedom are excited with the most probability. Dynamics of wave packet in dissipative environment was also analyzed and a new effect of wave packet sticking to a potential wall due to its tangling and time delay inside the inelastic channels was found.
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