Microscopic study on fusion reactions ${}^{40,48}\mathrm{Ca}+{}^{78}\mathrm{Ni}$ and the effect of tensor force

Abstract

We provide a microscopic description of the fusion reactions between ${}^{40,48}$Ca and ${}^{78}$Ni. The internuclear potentials are obtained using the density-constrained (DC) time-dependent Hartree-Fock (TDHF) approach and fusion cross sections are calculated via the incoming wave boundary condition method. By performing DC-TDHF calculations at several selected incident energies, the internuclear potentials for both systems are obtained and the energy-dependence of fusion barrier are revealed. The influence of tensor force on internuclear potentials of ${}^{48}\mathrm{Ca}+{}^{78}\mathrm{Ni}$ is more obvious than those of ${}^{40}\mathrm{Ca}+{}^{78}\mathrm{Ni}$. By comparing the calculated fusion cross sections between ${}^{40}\mathrm{Ca}+{}^{78}\mathrm{Ni}$ and ${}^{48}\mathrm{Ca}+{}^{78}\mathrm{Ni}$, an interesting enhancement of sub-barrier fusion cross sections for the former system is found, which can be explained by the narrow width of internuclear potential for ${}^{40}\mathrm{Ca}+{}^{78}\mathrm{Ni}$ while the barrier heights and positions are very close to each other. The tensor force suppresses the sub-barrier fusion cross sections of both two systems.

arXiv comment8 pages, 6 figures

References in corpus (54)

• A program for coupled-channels calculations with all order couplings for heavy-ion fusion reactions
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• Time-dependent density-functional description of nuclear dynamics
• Spin-orbit splitting and the tensor component of the Skyrme interaction
• The TDHF Code Sky3D
• Particle transfer reactions with the time-dependent Hartree-Fock theory using a particle number projection technique
• Signature of Shallow Potentials in Deep Sub-barrier Fusion Reactions
• ${}^{78}$Ni revealed as a doubly magic stronghold against nuclear deformation
• Heavy-ions collisions and fission dynamics with the time-dependent Hartree-Fock theory and its extensions
• Energy dependence of nucleus-nucleus potential close to the Coulomb barrier
• Theoretical study of the synthesis of superheavy nuclei with Z= 119 and 120 in heavy-ion reactions with trans-uranium targets
• Half Life of the Doubly-magic r-Process Nucleus 78Ni
• Evolution of the N=50 shell gap energy towards ${}^{78}$Ni
• Heavy-ion interaction potential deduced from density-constrained TDHF calculation
• Five-Dimensional Fission-Barrier Calulations from Se-70 to Cf-252
• Fusion Induced by Radioactive Ion Beams
• Structure of ${}^{78}$Ni from first principles computations
• Shape Coexistence in 78 Ni and the new Island of Inversion
• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Energy dependence of potential barriers and its effect on fusion cross-sections
• How the Pauli exclusion principle affects fusion of atomic nuclei
• Entrance Channel Dynamics of Hot and Cold Fusion Reactions Leading to Superheavy Elements
• Microscopic study of ${}^{16}$O+${}^{16}$O fusion
• Microscopic approach to coupled-channels effects on fusion
• Low-Energy Heavy-Ion Reactions and the Skyrme Effective Interaction
• Microscopic sub-barrier fusion calculations for the neutron star crust
• Microscopic study of Ca$+$Ca fusion
• Non-Gaussian Fluctuation and Non-Markovian Effect in the Nuclear Fusion Process: Langevin Dynamics Emerging from Quantum Molecular Dynamics Simulations
• Density-constrained time-dependent Hartree-Fock calculation of ${}^{16}$O+${}^{208}$Pb fusion cross sections
• Microscopic studies of production cross sections in multinucleon transfer reaction ${}^{58}$Ni+${}^{124}$Sn
• Systematics of capture and fusion dynamics in heavy-ion collisions
• The Role of Tensor Force in Heavy-Ion Fusion Dynamics
• The unrestricted Skyrme-tensor time-dependent Hartree-Fock and its application to the nuclear response from spherical to triaxial nuclei
• ${}^{64}$Ni+${}^{64}$Ni fusion reaction calculated with the density-constrained time-dependent Hartree-Fock formalism
• High precision nuclear mass predictions towards a hundred kilo-electron-volt accuracy
• Microscopic Study of the triple-$\alpha$ Reaction
• Applications of Skyrme energy-density functional to fusion reactions for synthesis of superheavy nuclei
• Microscopic study of the ${}^{132,124}$Sn+${}^{96}$Zr reactions: dynamic excitation energy, energy-dependent heavy-ion potential, and capture cross section
• Microscopic Calculation of Pre-Compound Excitation Energies for Heavy-Ion Collisions
• Dissipation dynamics and spin-orbit force in time-dependent Hartree-Fock theory
• TDHF fusion calculations for spherical+deformed systems
• Time-dependent HF approach to SHE dynamics
• Effects of nuclear molecular configurations on the astrophysical S-factor for ${}^{16}$O + ${}^{16}$O
• Isotopic trends of quasifission and fusion-fission in the reactions ${}^{48}$Ca+${}^{239,244}$Pu
• The Skyrme Tensor Force in Heavy Ion Collisions
• Absence of hindrance in microscopic ${}^{12}$C+${}^{12}$C fusion study
• The influence of tensor force on the microscopic heavy-ion interaction potential
• Microscopic analysis of sub-barrier fusion enhancement in ${}^{132}$Sn+${}^{40}$Ca vs. ${}^{132}$Sn+${}^{48}$Ca}
• Pauli energy contribution to nucleus-nucleus interaction
• Microscopic study of ${}^{40}$Ca+${}^{58,64}$Ni fusion reactions
• Influence of the tensor interaction on heavy-ion fusion cross sections
• Characteristic Feature of Self-Consistent Mean-Field in Level Crossing Region
• Applicability of self-consistent mean-field theory
• Skyrme density functional description of the double magic ${}^{78}$Ni nucleus

Cited by in corpus (7)

• Impact of tensor force on quantum shell effects in quasifission reactions
• Microscopic study of the compound nucleus formation in cold-fusion reactions
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• Impact of octupole correlation on the inverse quasifission in ${}^{160}\text{Gd}+{}^{186}\text{W}$ collisions
• Microscopic quasifission dynamics of the ${}^{54}\text{Cr}+{}^{243}\text{Am}$ reaction
• The Quest for Superheavy Nuclei: A Theoretical Perspective