Fusion probability in heavy-ion collisions by a dinuclear-system model

Abstract

In the dinuclear system formed in heavy-ion collisions the nucleon exchange between two touching nuclei is described by solving the Master Equation numerically since the driving force, which contains structure effects, is not linear with mass asymmetry in the diffusion process. The relative motion is treated to couple with the nucleon exchange. All channels of every mass combination between the projectile-like and the target-like may open, and a small fraction of mass distribution probability is found to contribute to the compound nuclear formation of a super heavy nucleus in the very strongly damped reaction process.

Global properties of fp-shell interactions in many-nucleon systems

“…The theory of spectral distributions is an excellent approach for studying microscopic interactions [4,24,25] and continues to be a powerful concept with recent applications in quantum chaos, nuclear reactions and nuclear astrophysics including studies on nuclear level densities, transition strength densities, and parity/time-reversal violation (for example, see [26,27,28,29,30,31,32,33,34,35]). The significance of the method is related to the fact that low-order energy moments over a certain domain of single-particle states, such as the energy centroid of an interaction (its average expectation value) and the deviation from that average, yield valuable information about the interaction that is of fundamental importance [7,11,25,36,37,38,39,40,41] without the need for carrying out large-dimensional matrix diagonalization and with little to no limitations due to the dimensionality of the vector space.…”

Theoretical study of the synthesis of superheavy nuclei withZ=119and 120 in heavy-ion reactions with trans-uranium targets

“…The dynamical deformations of the projectile and the target in the entrance channel have been included in the DNS models [22][23][24] and they are crucial for calculating the local excitation energy of a DNS during the process of nucleon transfers.…”

“…Then the DNS evolves via nucleon transfer along the mass asymmetry coordinate η instead of in the direction of the relative distance between the projectile and the target R. During the nucleon transfer process, any DNS (A 1 , A 2 ) with A 1 = 0, 1, · · · , A P + A T and A 2 = A P + A T − A 1 may be formed. The evolution of the distribution function of each DNS with time can be described by a master equation [22][23][24],…”

“…where N k is the number of valence states and m k is that of valence nucleons [22]. Λ qf A 1 is the quasifission probability of the DNS (A 1 , A 2 ) and…”

Deformation and orientation effects in the driving potential of the dinuclear model

“…In the di-nuclear system (DNS) concept [7,8,9,16,17,18], the fusion process is considered as the evolution of a di-nuclear system caused by the transfer of nucleons from the light nucleus to the heavy one. The nucleon transfer process is described in Ref.…”