Barrier distributions for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>16</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:mrow><mml:mrow><mml:mn>152</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Sm</mml:mi></mml:math>quasielastic and elastic scattering

Zhang, Huanqiao; Feng, Yan; Lin, C. J.; Zu-Hua, Liu; Hu, Yueming

doi:10.1103/physrevc.57.r1047

Cited by 25 publications

(19 citation statements)

References 13 publications

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“…It is thought that the quasi-elastic differential cross section can be expressed as a weighted sum of the eigenchannel elastic differential cross sections under the adiabatic and iso-centrifugal approximation [38,39] . Similarly to the description of fusion with the empirical barrier distribution, we describe the large-angle quasi-elastic scatter- ing cross section with the effective weight function D eff (B) at energies around the Coulomb barrier: dσ qel dσ R (E c.m. )…”

Section: Description Of Large-angle Quasi-elastic Scatteringmentioning

confidence: 99%

Heavy-ion fusion and scattering with Skyrme energy density functional

Wang

Liu

Yang

2009

Sci. China Ser. G-Phys. Mech. Astron.

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In our recent studies, an empirical barrier distribution was proposed for a unified description of the fusion cross sections of light and medium-heavy fusion systems, the capture cross sections of the reactions leading to superheavy nuclei, and the large-angle quasi-elastic scattering cross sections based on the Skyrme energy-density functional approach. In this paper, we first give a brief review of these results. Then, by examining the barrier distributions in detail, we find that the fusion cross sections depend more strongly on the shape of the left side of the barrier distribution while the quasi-elastic scattering cross sections depend more strongly on the right side. Furthermore, by combining these studies and the HIVAP calculations for the survival probability, the formation probability of the compound nucleus is deduced from the measured evaporation residue cross sections for "cold" and "hot" fusion reactions.energy-density functional, fusion, fission, scattering, superheavy nucleiIn our recently published papers [1−5] , we proposed an approach for a unified description of the fusion cross sections of light and medium-heavy fusion systems, the capture cross sections of the reactions leading to superheavy nuclei, and the largeangle quasi-elastic scattering cross sections based on the Skyrme energy-density functional approach. In this paper, we first give a brief review of this approach. Then, the influence of the shape of the barrier distribution on fusion cross sections and quasielastic scattering cross sections is studied carefully. Finally, we attempt to deduce the formation probability of compound nucleus from the measured evaporation residue cross sections of superheavy nuclei combining the proposed approach.It is known that theoretical support for the timeconsuming experiments to produce superheavy nuclei is vital in choosing the optimum targetprojectile-energy combinations, and for the estimation of cross sections of evaporation residues. In the practical calculation of the evaporation residue cross section, the reaction process leading to the synthesis of superheavy nuclei is divided into two or three steps [6−9] . The simplified version of the

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Section: Description Of Large-angle Quasi-elastic Scatteringmentioning

confidence: 99%

Heavy-ion fusion and scattering with Skyrme energy density functional

Wang

Liu

Yang

2009

Sci. China Ser. G-Phys. Mech. Astron.

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“…It is thought that the quasi-elastic differential cross section can be expressed as a weighted sum of the eigenchannel elastic differential cross sections under the adiabatic and isocentrifugal approximation [30,31]. Similar to the description of fusion with the empirical barrier distribution, we describe the large-angle quasi-elastic scattering cross section with the effective weight function D eff (B) at energies around the Coulomb barrier,…”

Section: B Description Of Large-angle Quasi-elastic Scatteringmentioning

confidence: 99%

Quasi-elastic scattering and fusion with a modified Woods-Saxon potential

Wang

Scheid

2008

Phys. Rev. C

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The elastic and large-angle quasi-elastic scattering reactions were studied with the same nucleusnucleus potential proposed for describing fusion reactions. The elastic scattering angle distributions of some reactions are reasonably well reproduced by the proposed Woods-Saxon potential with fixed parameters at energies much higher than the Coulomb barrier. With an empirical barrier distribution based on the modified Woods-Saxon potential and taking into account the influence of nucleons transfer, the calculated quasi-elastic scattering cross sections of a series of reactions are in good agreement with the experimental data.

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“…It is also shown in Refs. [23,25] that there are no systematic trends of breakup in the complete fusion reactions with the light projectiles 9 Be, 6,7,9 Li, and 6,8 He at near-barrier energies. Thus, by employing the experimental quasi-elastic backscattering, one can obtain the additional information about the breakup process.…”

Section: A Capture Cross Sectionsmentioning

confidence: 99%