Low-energy fusion dynamics of weakly bound nuclei: A time dependent perspective

Abstract

Recent dynamical fusion models for weakly bound nuclei at low incident energies, based on a time-dependent perspective, are briefly presented. The main features of both the PLATYPUS model and a new quantum approach are highlighted. In contrast to existing timedependent quantum models, the present quantum approach separates the complete and incomplete fusion from the total fusion. Calculations performed within a toy model for 6 Li + 209 Bi at near-barrier energies show that converged excitation functions for total, complete and incomplete fusion can be determined with the time-dependent wavepacket dynamics.

Bulletin of the Polish Academy of Sciences: Technical Sciences

“…The theoretical results in this section obtained for the crosssection of total fusion σ fus , the distribution of the barrier of fusion D fus and probability of the fusion P fus by the quantum mechanical route for systems 6 He+ 64 Zn, 8 B+ 58 Ni, and 8 He+ 197 Au. The semiclassical calculations conducted by code SCF and quantum mechanical calculations performed by code CC, the σ fus , D fus and P fus are compared with measured data.…”

“…The Akyüz-Winther parameters of the used potential to perform the calculations were listed in Table 1. The system 6 He+ 64 Zn includes two neutron light halo nucleus of 6 He as a projectile nucleus. The calculations for the reaction cross-section of total fusion σ fus , the distribution of fusion reaction barrier D fus and the probability of the fusion P fus are shown in A, B, and C, respectively, for the system 6 He+ 64 Zn as shown in Fig.…”

“…The conducted study shows clearly the coupling is very important to be considered in the calculations by utilizing the two approaches based on quantum mechanics and semiclassical mechanics for σ fus , D fus and the probability Pfus for the reactions: 6 He+ 64 Zn, 8 B+ 58 Ni and 8 He+ 197 Au. The importance of considering channel coupling arises from the fact that the projectile of the studied systems is loosely bound nuclei.…”

“…Two kinds of fusion processes can be distinguished in collisions of weak bound nuclei, ICF (incomplete fusion) when some projectile fragments drift away from the interaction area, and CF (complete fusion) where the nucleons of each projectile-target nucleon combine to form the compound nucleus. The total fusion cross-section represented the sum of cross-sections of both ICF and CF, which was calculated in most experiments [5][6][7][8][9]. The coupling to the continuum was used for investigating the impact of the breakup channel on the system with weak bound projectile [3].…”

“…adoption of Alder and Winther theory originally employed for treating the Coulomb exciting the nuclei, known as the route of CDCC in which semiclassical and quantum methods were applied for calculating total fusion cross-sections σ fus (mb) and distributions of fusion barrier D f us (mb/MeV) to systems including light halo nuclei 6 He+ 64 Zn, 8 B+ 58 Ni and 8 He+ 197 Au. The results for quantum and semiclassical calculations are compared using the calculations of the single and coupled channel with the available experimental data.…”