Abstract:A new experiment to measure differential cross sections as a function of the bombarding energy and scattering angle for the 16 O + 28 Si system in order to discriminate regular and chaotic regimes, was performed using the particle spectrometer CHICO combined with the multidetector array Gammasphere. In this contribution we summarize the characteristics of the method developed to analyze the experimental data and present the preliminary results.
“…One could argue that strictly speaking the most severe aspects of chaos have been eliminated by introducing absorption, and that what remains is a finite collection of scattering trajectories which will be more or less complicated according to the strength of the imaginary potential. We think that this is indeed the right (and practical) way to think about this issue in the context of nuclear reactions, and that the presence of special "transparency windows" [14] in some selected reactions provide opportunities to observe it [15][16][17].…”
The semiclassical approach has proven to be a most valuable tool for the construction of the scattering matrix and accurate evaluation of cross sections in a large variety of heavy-ion collision problems. In its familiar implementation, however, its use is restricted to what is now known as the "regular regime", as it makes use of classical reaction functions that must be continuous and interpolable. In this paper we identify what version of the semiclassical formalisms may be especially suitable for extension into the chaotic regime that develops at energies close to the Coulomb barrier. We also show the crucial role of the absorptive part of the ion-ion potential to retain the usefulness of the semiclassical methods under conditions of irregularity.
“…One could argue that strictly speaking the most severe aspects of chaos have been eliminated by introducing absorption, and that what remains is a finite collection of scattering trajectories which will be more or less complicated according to the strength of the imaginary potential. We think that this is indeed the right (and practical) way to think about this issue in the context of nuclear reactions, and that the presence of special "transparency windows" [14] in some selected reactions provide opportunities to observe it [15][16][17].…”
The semiclassical approach has proven to be a most valuable tool for the construction of the scattering matrix and accurate evaluation of cross sections in a large variety of heavy-ion collision problems. In its familiar implementation, however, its use is restricted to what is now known as the "regular regime", as it makes use of classical reaction functions that must be continuous and interpolable. In this paper we identify what version of the semiclassical formalisms may be especially suitable for extension into the chaotic regime that develops at energies close to the Coulomb barrier. We also show the crucial role of the absorptive part of the ion-ion potential to retain the usefulness of the semiclassical methods under conditions of irregularity.
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