Particle transfer and fusion cross-section for Super-heavy nuclei in dinuclear system

Abstract

Within the dinuclear system (DNS) conception, instead of solving Fokker-Planck Equation (FPE) analytically, the Master equation is solved numerically to calculate the fusion probability of super-heavy nuclei, so that the harmonic oscillator approximation to the potential energy of the DNS is avoided. The relative motion concerning the energy, the angular momentum, and the fragment deformation relaxations is explicitly treated to couple with the diffusion process, so that the nucleon transition probabilities, which are derived microscopically, are time-dependent. Comparing with the analytical solution of FPE, our results preserve more dynamical effects. The calculated evaporation residue cross sections for one-neutron emission channel of Pb-based reactions are basically in agreement with the known experimental data within one order of magnitude.

arXiv comment19 pages, plus 6 figures, submitted to Phys. Rev. C

References in corpus (7)

• Nuclear Ground-State Masses and Deformations
• Fusion cross sections for superheavy nuclei in the dinuclear system concept
• Isotopic dependence of fusion cross sections in reactions with heavy nuclei
• Treatment of competition between complete fusion and quasifission in collisions of heavy nuclei
• Two-Step Model of Fusion for Synthesis of Superheavy Elements
• Search for the Production of Element 112 in the 48Ca + 238U Reaction
• Cross Section Limits for the ${}^{208}$Pb(${}^{86}$Kr,n)${}^{293}$118 Reaction

Cited by in corpus (6)

• Theoretical study of the synthesis of superheavy nuclei with Z= 119 and 120 in heavy-ion reactions with trans-uranium targets
• Formation of superheavy nuclei in cold fusion reactions
• Production of heavy and superheavy nuclei in massive fusion reactions
• Systematic study on probable projectile-target combinations for the synthesis of the ${}^{302}$120 superheavy nucleus
• Possible Way to Synthesize Superheavy Element Z=117
• Stability of Strutinsky Shell Correction Energy in Relativistic Mean Field Theory