Systematics of capture and fusion dynamics in heavy-ion collisions

Abstract

We perform a systematic study of capture excitation functions by using an empirical coupled-channel model. In this model, a barrier distribution is used to take effectively into account the effects of couplings between the relative motion and intrinsic degrees of freedom. The shape of the barrier distribution is of an asymmetric Gaussian form. The effect of neutron transfer channels is also included in the barrier distribution. Based on the interaction potential between the projectile and the target, empirical formulas are proposed to determine the parameters of the barrier distribution. Theoretical estimates for barrier distributions and calculated capture cross sections together with experimental cross sections of 220 reaction systems with $182⩽Z_{\mathrm{P}}{Z}_{\mathrm{T}}⩽1640$ are tabulated. The results show that our empirical formulas work quite well in the energy region around the Coulomb barrier. This model can provide prediction of capture cross sections for the synthesis of superheavy nuclei as well as valuable information on capture and fusion dynamics.

120 pages, 32 figures, 3 tables, accepted for publication in Atomic Data and Nuclear Data Tables

References in corpus (22)

• Subbarrier fusion reactions and many-particle quantum tunneling
• Hindrance of heavy-ion fusion due to nuclear incompressibility
• Theoretical study of the synthesis of superheavy nuclei with Z= 119 and 120 in heavy-ion reactions with trans-uranium targets
• Relating breakup and incomplete fusion of weakly-bound nuclei through a classical trajectory model with stochastic breakup
• Heavy-ion interaction potential deduced from density-constrained TDHF calculation
• Systematic study of breakup effects on complete fusion at energies above the Coulomb barrier
• Existence of One-Body Barrier Revealed in Deep Sub-Barrier Fusion
• Fusion-fission reactions with modified Woods-Saxon potential
• Dynamical analysis on heavy-ion fusion reactions near Coulomb barrier
• Dissipative quantum dynamics in low-energy collisions of complex nuclei
• Conservation Properties in the Time-Dependent Hartree Fock Theory
• Dissipation dynamics and spin-orbit force in time-dependent Hartree-Fock theory
• Effects of nuclear molecular configurations on the astrophysical S-factor for ${}^{16}$O + ${}^{16}$O
• Boost-invariant mean field approximation and the nuclear Landau-Zener effect
• Microscopic analysis of sub-barrier fusion enhancement in ${}^{132}$Sn+${}^{40}$Ca vs. ${}^{132}$Sn+${}^{48}$Ca}
• Systematic study of complete fusion suppression in reactions involving weakly bound nuclei at energies above the Coulomb barrier
• Coupled-channels density-matrix approach to low-energy nuclear collision dynamics: A technique for quantifying quantum decoherence effects on reaction observables
• Systematic study of 16O-induced fusions with the improved quantum molecular dynamics model
• Nucleus-nucleus potential with shell-correction contribution and deep sub-barrier fusion of heavy nuclei
• Microscopic study of ${}^{40}$Ca+${}^{58,64}$Ni fusion reactions
• Revised analysis of ${}^{40}$Ca+${}^{96}$Zr fusion reactions
• Energy-Dependence of Nucleus-Nucleus Potential and Friction Parameter in Fusion Reactions

Cited by in corpus (11)

• Progress of Quantum Molecular Dynamics model and its applications in Heavy Ion Collisions
• Isotopic trends of quasifission and fusion-fission in the reactions ${}^{48}$Ca+${}^{239,244}$Pu
• Examination of promising reactions with ${}^{241}$Am and ${}^{244}$Cm targets for the synthesis of new superheavy elements within the dinuclear system model with a dynamical potential energy surface
• Microscopic dynamics simulations of multi-nucleon transfer in ${}^{86}$Kr+${}^{64}$Ni at 25 MeV/nucleon
• Microscopic study of the compound nucleus formation in cold-fusion reactions
• Examining empirical evidence of the effect of superfluidity on the fusion barrier
• Microscopic study on fusion reactions ${}^{40,48}\mathrm{Ca}+{}^{78}\mathrm{Ni}$ and the effect of tensor force
• Constraining the Woods-Saxon potential in fusion reactions based on the neural network
• Theoretical study of the capture of stable ${}^{39}$K and neutron-rich radioactive ${}^{46}$K by ${}^{181}$Ta
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• Nucleus-nucleus potential from identical-particle interference