Comparison between the zero point motion and generalized frozen approximation models in accounting for heavy-ion fusion data

Abstract

In recent papers, we have proposed two different models to calculate fusion cross sections for heavy-ion systems, based on coupled-channels calculations involving harmonic vibrations of the nuclear densities. The parameter-free São Paulo potential is assumed as the bare interaction and, therefore, the calculations are performed without any adjustable parameter. In the present work, we compare the results of these models in accounting for fusion data of approximately 60 different systems.

Measurement of fusion cross sections for 16O+16O

“…A more realistic approach to calculate fusion cross sections takes into account the internal structure of the colliding nuclei, using the CC formalism. In this work, we adopt the zero point motion (ZPM) model of [26][27][28][29], that couples the complete sets of inelastic states related to the quadrupole 2 + and octopole 3 − vibrational bands. The effect of the couplings is to replace the Coulomb barrier height, which is coupled to an harmonic oscillator, by a set of barriers, where the total transmission coefficient is given by a weighted average of the transmission for each effective barrier.…”

Calculation of deformed double-folding potentials in the context of the generalized rotation-vibration model

“…In particular, it was discovered in the late 1970s [11][12][13] and confirmed in many works [4][5][6][7][8][9][10] that, at sub-Coulomb energy region, the couplings can represent an enhancement of several orders of magnitude of the fusion cross sections in comparison with results obtained from the unidimensional barrier penetration model. For most of systems, this enhancement is associated with the inelastic couplings related to the states of the quadrupole and octupole bands [14][15][16]. As already commented, these bands are described in the context of the GRVM.…”