https://doi.org/10.1140/epja/s10050-022-00746-2
Regular Article - Theoretical Physics
Multidimensional harmonic oscillator model of subbarrier fusion
1
INFN Laboratori Nazionali di Legnaro, Viale dell’Università 2, 35020, Legnaro, Italy
2
Institute for Nuclear Research, Prospect Nauki 47, 03028, Kiev, Ukraine
3
Faculty of Physics, Taras Shevchenko National University of Kiev, Prospect Glushkova 2, 03022, Kiev, Ukraine
Received:
27
February
2022
Accepted:
6
May
2022
Published online:
13
May
2022
The new coupled-reaction channel model for the subbarrier fusion of heavy ions is presented. The low-energy surface vibrational states of both nuclei are described in the harmonic oscillator approach. The coupling channel potentials are evaluated numerically using the harmonic oscillator wave functions and the expressions for the potential energy. The approximate solution of the coupled reaction channel equations is obtained using the diagonalization at the barrier. All one- and two-phonon channels related to the 
and 
states in both nuclei are taken into account. The experimental data for the heavy-ion fusion reactions 
Ni+Ni, 
Ti+
Fe, and 
Fe+Ni are well described in the model. The dressed and bare heavy-ion potentials are discussed in detail. It is shown that dressed potential is smaller than the bare one around the barrier, which leads to the enhancements of the barrier transmission. The manifestations of the shell effects on both the nucleus-nucleus potential and subbarrier fusion are discussed in detail.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
