Angular momentum effects and barrier modification in sub-barrier fusion reactions using the proximity potential in the Wong formula

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Raj Kumar, Manie Bansal, Sham K. Arun, and Raj K. Gupta
Department of Physics, Panjab University, Chandigarh 60014, India

Received 11 July 2009; published 30 September 2009

Usingthe capture cross-section data from ⁴⁸Ca+²³⁸U, ⁴⁸Ca+²⁴⁴Pu, and ⁴⁸Ca+²⁴⁸Cm reactionsin the superheavy mass region, and fusion-evaporation cross sections from⁵⁸Ni+⁵⁸Ni, ⁶⁴Ni+⁶⁴Ni, and ⁶⁴Ni+¹⁰⁰Mo reactions known for fusion hindrance phenomenonin coupled-channels calculations, the Wong formula is assessed for itsangular momentum and barrier-modification effects at sub-barrier energies. The simple, [script-l] =0 barrier-based Wong formula is shown to ignore the modificationsof the barrier due to its inbuilt dependence via summation, which is found to be adequate enough toexplain the capture cross sections for all the three above-mentioned⁴⁸Ca-based reactions forming superheavy systems. For the capture (equivalently, quasifission)reactions, the complete [script-l] -summed Wong formula is shown to bethe same as the dynamical cluster-decay model expression, of oneof us (R.K.G.) and collaborators, with the condition of fragmentpreformation probability P <sub>0</sub><sup>[script-l]</sup> =1 for all the angular momentum values.In the case of fusion-evaporation cross sections, however, a furthermodification of barriers is required for below-barrier energies, affected interms of either the barrier “lowering” or barrier “narrowing” viathe curvature constant. Calculations are made for use of nuclearproximity potential, with effects of multipole deformations included up tohexadecapole, and orientation degrees of freedom integrated for both thecoplanar and noncoplanar configurations.

URL:	http://link.aps.org/doi/10.1103/PhysRevC.80.034618
DOI:	10.1103/PhysRevC.80.034618
PACS:	25.70.Jj; 25.60.Pj; 24.10.-i; 27.90.+b 25.70.Jj Heavy ion-induced fusion and fusion-fission reactions 25.60.Pj Unstable nucleus induced fusion reactions 24.10.-i Nuclear-reaction models and methods 27.90.+b Properties of nuclei with A ≥ 220 YEAR: 2009

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