Abstract
We study the possibility to include the cluster emission into the statistical pre-equilibrium (exciton) model suitable also for heavy ion collisions. The direct motivation of this paper is a possibility of producing superdeformed nuclei, which are easier to be detected in heavy-ion reactions than in those induced by light projectiles (nucleons, deuterons, α-particles).
Highlights
The immediate request to calculate the particle emission in heavy-ion collisions (HIC) at modest energies come from nuclear structure studies concerning superdeformed and/or hyperdeformed nuclei of exotic shapes
We study the possibility to include the cluster emission into the statistical pre-equilibrium model suitable for heavy ion collisions
The rotational energy Erot(l) should be expressed using the inertia momentum of two touching spheres, as the time-dependent calculations [25] indicated that — at least at modest energies, say 5 – 20 MeV/A — the distance of the centers of the colliding nuclei remains practically unchanged after the sticking phase of the reaction for a while, which is much longer than the time typical for the pre-equilibrium emission [23, 25]
Summary
The immediate request to calculate the particle (including cluster) emission in heavy-ion collisions (HIC) at modest energies come from nuclear structure studies concerning superdeformed and/or hyperdeformed nuclei of exotic shapes. Superdeformed (SD) states (with approximate ratio of the major axes of 2:1:1) have been observed in several nuclei, while the appearance of hyperdeformation (HD), i.e., ellipsoidal shape of 3:1:1 is a hot topic for a discussion. Interesting is their existence in the N = Z nuclei, in which the role of pairing, quartering, isospin, etc. There is already an experimental evidence for the existence of superdeformed nuclei of mass A ≤ 40
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