Role of nuclear deformation and orientation about symmetry axis of target nucleus on heavy-ion fusion dynamics

Abstract

Nuclear shape and orientation degrees of freedom are incorporated into the calculation of the double-folding nuclear potential within the relativistic mean-field (RMF) formalism. The quadrupole deformations (${\beta }_2$), nuclear densities and the effective nucleon-nucleon (NN) interaction potential are obtained using the RMF approach for the Hybrid, NL3${}^{\ast }$ and NL3 parameterizations. The calculated quadrupole deformations are included in the target densities through the nuclear radius. The deformation and orientation-dependent microscopic nuclear potentials are further employed to obtain fusion barrier characteristics and cross-sections for 12 even-even heavy-ion reactions with doubly magic spherical ${}^{16}$O and ${}^{48}$Ca as projectiles along with deformed targets from different mass regions. The results obtained for the relativistic R3Y NN potential are compared with those of the Reid version of the non-relativistic M3Y NN potential as well as with the available experimental data. A decrease in the barrier height and increase in the cross-section is observed upon the inclusion of target quadrupole deformations in the nuclear density distributions at the target orientation angles, ${\theta }_2\le 58^{\circ }$ for the R3Y NN potential and at ${\theta }_2\le 60^{\circ }$ for the M3Y NN potential. On comparing the ${\theta }_2$-integrated cross-section calculated using M3Y and R3Y NN potentials with spherical and deformed densities, one observes that the deformed densities and the relativistic R3Y NN potential obtained for the Hybrid parameter set provide better agreement with the available experimental data for all the considered reactions. Moreover, the modifications in the characteristics of the fusion barrier and hence in the cross-section with the inclusion of nuclear shape degrees of freedom and orientations are found to become more prominent in reactions forming heavier compound nuclei.

References in corpus (30)

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Nuclear ground-state masses and deformations: FRDM(2012)
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Toward a global description of the nucleus-nucleus interaction
• Quantum Tunneling in Nuclear Fusion
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• The effective force NL3 revisited
• The Compression-Mode Giant Resonances and Nuclear Incompressibility
• Incompressibility of neutron-rich matter
• Relativistic Hartree-Bogoliubov description of the deformed N = 28 region
• Deformation of the N=Z nucleus 76Sr using beta-decay studies
• Recent experimental results in sub- and near-barrier heavy ion fusion reactions
• Effects of nuclear deformation and neutron transfer in capture process, and origin of fusion hindrance at deep sub-barrier energies
• Ground-state properties of deformed proton emitters in the relativistic Hartree-Bogoliubov model
• Fusion cross sections at deep subbarrier energies
• Central depression in nuclear density and its consequences for the shell structure of superheavy nuclei
• A new microscopic nucleon-nucleon interaction derived from relativistic mean field theory
• The total reaction cross section of heavy-ion reactions induced by stable and unstable exotic beams: The low-energy regime
• Quantum calculations of Coulomb reorientation for sub-barrier fusion
• An Update of B(E2) Evaluation for 0+1 -> 2+1 Transitions in Even-Even Nuclei near N~Z~28
• Time-Depentent Hartree-Fock description of heavy ions fusion
• Coulomb interaction between a spherical and a deformed nuclei
• Fusion cross-section for Ni-based reactions within the relativistic mean field formalism
• Effects of $NN$ potentials on $p$ nuclides in the A$\sim$100-120 region
• Fusion cross section of the superheavy $Z$ = 120 nuclei within the relativistic mean-field formalism
• Nuclear incompressibility and sound speed in uniform matter and finite nuclei
• Approximate transmission coefficients in heavy ion fusion
• Systematic study of fusion barrier characteristics within the relativistic mean-field formalism
• Medium dependent relativistic NN potential: Application to the fusion dynamics
• Fusion dynamics of ${}^{12}$C+${}^{12}$C reaction: An astrophysical interest within the relativistic mean-field approach