Role of non-coplanarity in nuclear reactions using the Wong formula based on the proximity potential

2010/10/07 by Bansal, Manie, Raj K. Gupta, Gupta, Raj K.
Earth and Planetary Sciences · Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Fusion and Nuclear Reactions #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies

paper · pdf · doi:10.48550/arxiv.1010.1340

openalex publication_date 2010/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

we assessed Wong's formula for its angular momentum ℓ-summation and "barrier modification" effects at sub-barrier energies in the dominant fusion-evaporation and capture (equivalently, quasi-fission) reaction cross-sections. For use of the multipole deformations (up to β₄) and (in-plane, Φ=0⁰) orientations-dependent proximity potential in fusion-evaporation cross-sections of ⁵⁸Ni+⁵⁸Ni, ⁶⁴Ni+⁶⁴Ni and ¹⁰⁰Mo, known for fusion hindrance phenomenon in coupled-channels calculations, and the capture cross-sections of ⁴⁸Ca+²³⁸U, ²⁴⁴Pu and ²⁴⁸Cm reactions, forming superheavy nuclei, though the simple ℓ=0 barrier-based Wong formula is found inadequate, its extended version, the ℓ-summed Wong expression fits very well the above noted capture cross-sections at all center-of-mass energies E_c.m.'s, but require (additional) modifications of the barriers to fit the fusion-evaporation cross-sections in the Ni-based reactions at below-barrier energies. Some barrier modification effects are shown \citekumar09 to be already present in Wong expression due to its inbuilt ℓ-dependence via ℓ-summation.

Related

• Universal Wong formula for capture cross sections from light to super-heavy systems
• Improved Wong and classical approximations, and reduction of fusion data
• On the Wong cross section and fusion oscillations
• Cold nuclear matter effects and a modified form of the proximity approach
• Skyrme-force dependence of fusion cross-sections using Wong formula in semiclassical formalism