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[en] Three different approaches to taking into account exchange effects in heavy-ion collisions are studied. Within the first of them, the lowest eigenstates of the Hamiltonian are treated as forbidden states. In the second approach, the eigenstates of the normalization kernel of the resonating-group model that correspond to zero eigenvalues are treated as forbidden states. The third approach takes additionally into account semiforbidden states. The 16O + 16O system is considered. A hybrid approach that combines the methods of discrete and continuous mathematics is developed for calculating the widths of narrow resonance states. The resonance width calculated within the approach that takes into account semiforbidden states proves to be sharply different from the widths obtained within traditional approaches.
[en] We present a new procedure that enables us to extract a scattering matrix S(l) as a complex function of angular momentum directly from the scattering data without any a priori model assumptions implied. The key ingredient of the procedure is the evolutionary algorithm with diffused mutation that evolves the population of the scattering matrices by means of their smooth deformations from the primary arbitrary analytical S(l) shapes to the final ones, giving high-quality fits to the data. Because of the automatic monitoring of the scattering-matrix derivatives, the final S(l) shapes are monotonic and do not have any distortions. For the 16O-16O elastic-scattering data at 350 MeV, we show the independence of the final results of the primary S(l) shapes. Contrary to other approaches, our procedure provides an excellent fit by the S(l) shapes that support the 'rainbow' interpretation of the data under analysis
[en] Evidence for the existence of the lowest N=24 and N=28 cluster bands with the 16O+16O cluster structure in 32S is shown from the viewpoint of unified description of bound and scattering states of the 16O+16O system. The 16O+16O cluster band structure, the gross structure of the 90 deg. excitation function for16O+16O elastic scattering, and the Airy minima are understood in a unified way. The existence of the unobserved N=26 higher nodal band is predicted
[en] Rainbow, Airy structure, and molecular structure in the 16O+16O system are investigated from the viewpoint of a unified description of the composite system. The potential for the 16O+16O system determined from rainbow scattering is applied to low-energy scattering near the Coulomb barrier. Quasi-bound and bound molecular states are calculated in the complex scaling method. Evidence for the existence of the lowest N=24 and N=28 molecular bands with the 16O+16O structure in 32S is shown