Light nuclei production in fusion of heavy ions

Systematic calculations of the Coulomb barrier parameters for collisions of spherical nuclei are performed within the framework of the double folding approach. The value of the parameter = ((which estimates the Coulomb barrier height) varies in these calculations from 10 MeV up to 150 MeV. The nuclear densities came from the Hartree-Fock calculations which reproduce the experimental charge densities with good accuracy. For the nucleon-nucleon effective interaction two analytical approximations known in the literature are used: the M3Y and Migdal forces. The calculations show that Migdal interaction always results in the higher Coulomb barrier. Moreover, as increases the difference between the M3Y and Migdal barrier heights systematically increases as well. As the result, the above barrier fusion cross sections calculated dynamically with the M3Y forces and surface friction are in agreement with the data. The cross sections calculated with the Migdal forces are always below the experimental data even without accounting for the dissipation.

show abstract

“…(see, e.g., [1,39,40] and references therein). The components of nucleon-nucleon interaction can be written as follows…”

Section: Migdal Double-folding Potentialmentioning

confidence: 99%

Describing the heavy-ion above-barrier fusion using the bare potentials resulting from Migdal and M3Y double-folding approaches

Gontchar

Chushnyakova

2016

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

show abstract

“…Then equations of motion contain derivatives of μ RR and μ ηη with respect to R and η. For simplification, we suggest that ∂μ RR /∂R = 0 and ∂μ ηη /∂η = 0, which is justified for the R and η values under study [123,125,126].…”

Section: Asymmetric Dnssmentioning

confidence: 99%

“…Using (20), we deduce equations of motion for moments of the distribution function f(R, η, P R , P η , t) [125][126][127]. The first and second moments (dΩ = dRdηdP R dP η ), (24) satisfy the following dynamic equations:…”

Section: Asymmetric Dnssmentioning

confidence: 99%

Dinuclear systems in complete fusion reactions

2014

Self Cite

View full text Add to dashboard Cite

Formation and evolution of dinuclear systems in reactions of complete fusion are considered. Based on the dinuclear system concept, the process of compound nucleus formation is studied. Arguments confirming the validity of this concept are given. The main problems of describing the complete fusion in adi abatic approximation are listed. Calculations of evaporation residue cross sections in complete fusion reac tions leading to formation of superheavy nuclei are shown. Isotopic trends of the cross sections of heavy nuclei formation in complete fusion reactions are considered.

show abstract

“…The analytical solution of the Fokker-Planck equation [15,17] or the numerical solution of the Master equation [20,22] are used to describe the diffusion process. The nucleon transfer from the light nucleus to the heavy one can be described by transport theory which has been proved to be a successful tool for investigating nucleon transfer in deeply inelastic collisions of heavy ions [23,24,25,26,27,28,29,30,31,32,33].…”

Section: B the Master Equationmentioning

confidence: 99%

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

Li¹,

Wang²,

Fu³

et al. 2006

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

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 superheavy 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.

show abstract

Light nuclei production in fusion of heavy ions

Cited by 14 publications

References 12 publications

Describing the heavy-ion above-barrier fusion using the bare potentials resulting from Migdal and M3Y double-folding approaches

Describing the heavy-ion above-barrier fusion using the bare potentials resulting from Migdal and M3Y double-folding approaches

Dinuclear systems in complete fusion reactions

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

Contact Info

Product

Resources

About