Examination of fusion cross sections and fusion oscillations with a generalized Wong formula

N. Rowley, Kouichi Hagino

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

We re-examine the well-known Wong formula for heavy-ion fusion cross sections. Although this celebrated formula yields almost-exact results for single-channel calculations for relatively heavy systems such as O16+Sm144, it tends to overestimate the cross section for light systems such as C12+C12. We generalize the formula to take account of the energy dependence of the barrier parameters and show that the energy-dependent version gives results practically indistinguishable from a full quantal calculation. We then examine the deviations arising from the discrete nature of the intervening angular momenta, whose effect can lead to an oscillatory contribution to the excitation function. We recall some compact, analytic expressions for these oscillations and highlight the important physical parameters that give rise to them. Oscillations in symmetric systems are discussed, as are systems where the target and projectile identities can be exchanged via a strong transfer channel.

Original languageEnglish
Article number044617
JournalPhysical Review C - Nuclear Physics
Volume91
Issue number4
DOIs
Publication statusPublished - 2015 Apr 30

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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