TY - JOUR

T1 - Examination of fusion cross sections and fusion oscillations with a generalized Wong formula

AU - Rowley, N.

AU - Hagino, Kouichi

PY - 2015/4/30

Y1 - 2015/4/30

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevC.91.044617

DO - 10.1103/PhysRevC.91.044617

M3 - Article

AN - SCOPUS:84929008327

VL - 91

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 4

M1 - 044617

ER -