Applications of Skyrme energy-density functional to fusion reactions for synthesis of superheavy nuclei

Journal Article · Sun Oct 15 00:00:00 EDT 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.74.044604· OSTI ID:20863862

Ning, Wang; Scheid, Werner ^[1]; Xizhen, Wu; Min, Liu ^[2]; Zhuxia, Li ^[2]

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1. Institute for Theoretical Physics at Justus-Liebig-University, D-35392 Giessen (Germany)
2. China Institute of Atomic Energy, Beijing 102413 (China)

The Skyrme energy-density functional approach has been extended to study massive heavy-ion fusion reactions. Based on the potential barrier obtained and the parametrized barrier distribution the fusion (capture) excitation functions of a lot of heavy-ion fusion reactions are studied systematically. The average deviations of fusion cross sections at energies near and above the barriers from experimental data are less than 0.05 for 92% of 76 fusion reactions with Z{sub 1}Z{sub 2}<1200. For the massive fusion reactions, for example, the {sup 238}U-induced reactions and {sup 48}Ca+{sup 208}Pb, the capture excitation functions have been reproduced remarkably well. The influence of structure effects in the reaction partners on the capture cross sections is studied with our parametrized barrier distribution. By comparing the reactions induced by double-magic nucleus {sup 48}Ca and by {sup 32}S and {sup 35}Cl, the ''threshold-like'' behavior in the capture excitation function for {sup 48}Ca-induced reactions is explored and an optimal balance between the capture cross section and the excitation energy of the compound nucleus is studied. Finally, the fusion reactions with {sup 36}S, {sup 37}Cl, {sup 48}Ca, and {sup 50}Ti bombarding {sup 248}Cm, {sup 247,249}Bk, {sup 250,252,254}Cf, and {sup 252,254}Es, as well as the reactions leading to the same compound nucleus with Z=120 and N=182, are studied further. The calculation results for these reactions are useful for searching for the optimal fusion configuration and suitable incident energy in the synthesis of superheavy nuclei.

• OSTI ID: 20863862
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 74, Issue 4; Other Information: DOI: 10.1103/PhysRevC.74.044604; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BERKELIUM 249
CALCIUM 48
CALIFORNIUM 254
CAPTURE
CHLORINE 35
CHLORINE 37
COMPOUND NUCLEI
CURIUM 248
DISTRIBUTION
EINSTEINIUM 254
ENERGY DENSITY
EXCITATION
EXCITATION FUNCTIONS
HEAVY ION FUSION REACTIONS
LEAD 208
MAGIC NUCLEI
SKYRME POTENTIAL
TITANIUM 50
URANIUM 238