Potential inversion with subbarrier fusion data revisited

Abstract

We invert experimental data for heavy-ion fusion reactions at energies well below the Coulomb barrier in order to directly determine the internucleus potential between the colliding nuclei. In contrast to the previous applications of the inversion formula, we explicitly take into account the effect of channel couplings on fusion reactions, by assuming that fusion cross sections at deep subbarrier energies are governed by the lowest barrier in the barrier distribution. We apply this procedure to the ${}^{16}$O +${}^{144}$Sm and ${}^{16}$O +${}^{208}$Pb reactions, and find that the inverted internucleus potential are much thicker than phenomenological potentials. A relation to the steep fall-off phenomenon of fusion cross sections recently found at deep subbarrier energies is also discussed.

5 pages, 3 eps figures

References in corpus (16)

• A program for coupled-channels calculations with all order couplings for heavy-ion fusion reactions
• Quantum Tunneling in Nuclear Fusion
• Influence of nuclear structure on sub-barrier hindrance in Ni+Ni fusion
• Hindrance of heavy-ion fusion due to nuclear incompressibility
• Signature of Shallow Potentials in Deep Sub-barrier Fusion Reactions
• Systematics of heavy-ion fusion hindrance at extreme sub-barrier energies
• Hindrance of Heavy-ion Fusion at Extreme Sub-Barrier Energies in Open-shell Colliding Systems
• Systematics of threshold incident energy for deep sub-barrier fusion hindrance
• Adiabatic quantum tunneling in heavy-ion sub-barrier fusion
• WKB approximation for multi-channel barrier penetrability
• Fusion cross sections at deep subbarrier energies
• Existence of One-Body Barrier Revealed in Deep Sub-Barrier Fusion
• Probing surface diffuseness of nucleus-nucleus potential with quasielastic scattering at deep sub-barrier energies
• Role of anharmonicities of nuclear vibrations in fusion reactions at subbarrier energies
• Relations between fusion cross sections and average angular momenta
• Fusion barrier distributions in systems with finite excitation energy

Cited by in corpus (14)

• Energy dependence of potential barriers and its effect on fusion cross-sections
• Signature of smooth transition from diabatic to adiabatic states in heavy-ion fusion reactions at deep subbarrier energies
• Microscopic study of ${}^{16}$O+${}^{16}$O fusion
• Density-constrained time-dependent Hartree-Fock calculation of ${}^{16}$O+${}^{208}$Pb fusion cross sections
• Microscopic study of the ${}^{132,124}$Sn+${}^{96}$Zr reactions: dynamic excitation energy, energy-dependent heavy-ion potential, and capture cross section
• Time-dependent HF approach to SHE dynamics
• Systematic investigations of deep sub-barrier fusion reactions using an adiabatic approach
• Microscopic analysis of sub-barrier fusion enhancement in ${}^{132}$Sn+${}^{40}$Ca vs. ${}^{132}$Sn+${}^{48}$Ca}
• Dynamic microscopic study of pre-equilibrium giant resonance excitation and fusion in the reactions ${}^{132}$Sn+${}^{48}$Ca and ${}^{124}$Sn+${}^{40}$Ca
• Nucleus-nucleus potential with shell-correction contribution and deep sub-barrier fusion of heavy nuclei
• Confronting measured near and sub-barrier fusion cross-sections for 20O+12C with a microscopic method
• Examining empirical evidence of the effect of superfluidity on the fusion barrier
• Effect of nuclear matter incompressibility on the 16O+208Pb system
• Microscopic DC-TDHF study of heavy-ion potentials and fusion cross sections