Heavy-ion fusion in classical and semiclassical microscopic approaches

Bridge between bound state and reaction effective nucleon-nucleon potentials

“…On the other hand, as is shown by Godre and Waghmare [3], if one has a semi-classical approach invoking wave packet description of the interacting particles, then not only one obtains a good agreement with the observed results but also correct depth of 50 MeV and the incompressibility parameter k 230 MeV are obtained. Indeed, because of the overlap of the wave packets, and including zero point motion of the nucleons, the essential ingredients of quantum mechanical aspects of the problem are automatically incorporated.…”

“…Indeed, because of the overlap of the wave packets, and including zero point motion of the nucleons, the essential ingredients of quantum mechanical aspects of the problem are automatically incorporated. It turns out [3] that the cross sections are sensitive not only to the width σ of the wave packets but also to the range r 0 of the N-N interaction.…”

“…Realistic potentials a) Reid potential [7] 82.9 b) Kallio and Koltveit [8] 82.2 c) Shakin and Waghmare [1] 82.0 II Effective Interactions d) Waghmare [9] 86.4 e) Goldhammer [10] 48.2 III Fusion N-N potentials f) Godre and Waghmare [3] g) Present calculations 80.0…”

“…The theoretical frame work for the understanding of heavy ion fusion cross sections on the basis of effective N-N interactions, the so-called microscopic approach, was given in our earlier work [3]. It was observed that even though a good agreement was obtained between the observed and calculated fusion cross sections, by using pure classical (point particle) description for nucleons interacting via a two-body effective interaction, there was gross disagreement between and known 'depth' of the interaction as well as the 'incompressibility' parameter.…”

“…Indeed, no practical, fully quantum mechanical theory of HIR exists. Recently, Satchler et al [3] have made an indepth study in this regard using other macro-microscopic interactions.…”