Oscillating-correlated nonstatistical structures, slow spin decoherence, and hyperdeformed coherent rotational states in ^24mg+24mg and ²⁸si+^28siscattering

Nonstatistical structures observed in ²⁴Mg+²⁴Mg and²⁸Si+²⁸Si elastic and inelastic excitation functions produce channel-channel correlations and damped oscillations in the cross section energy autocorrelation functions. We present an interpretation of these nonstatistical effects assuming the formation of a highly excited dinucleus with strongly overlapping resonances in these scattering processes. We show that the essential features of the nonstatistical behavior of the excitation functions can be reproduced in terms of a slow spin decoherence of ≃(4:1) hyperdeformed coherent rotational states excited in ²⁴Mg+²⁴Mg and²⁸Si+²⁸ scattering.