# Fusion of radioactive $^{132}$Sn with $^{64}$Ni

## TL;DR

This study measures fusion cross sections of radioactive $^{132}$Sn with $^{64}$Ni near the Coulomb barrier, finding no extra fusion enhancement compared to stable isotopes after accounting for nuclear size and barrier shifts.

## Contribution

It provides the first systematic comparison of fusion cross sections of radioactive $^{132}$Sn with $^{64}$Ni against stable isotopes, incorporating coupled-channel calculations.

## Key findings

- Large sub-barrier fusion enhancement observed.
- Coupled-channel calculations agree with measurements.
- No additional fusion enhancement after size and barrier adjustments.

## Abstract

Evaporation residue and fission cross sections of radioactive $^{132}$Sn on $^{64}$Ni were measured near the Coulomb barrier. A large sub-barrier fusion enhancement was observed. Coupled-channel calculations including inelastic excitation of the projectile and target, and neutron transfer are in good agreement with the measured fusion excitation function. When the change in nuclear size and shift in barrier height are accounted for, there is no extra fusion enhancement in $^{132}$Sn+$^{64}$Ni with respect to stable Sn+$^{64}$Ni. A systematic comparison of evaporation residue cross sections for the fusion of even $^{112-124}$Sn and $^{132}$Sn with $^{64}$Ni is presented.