Abstract

The self-consistent mean-field Hartree–Fock (HF) theory, both static and time-dependent (TDHF) versions, is used to study static and dynamic properties of fusion reactions between even 40–54 Ca isotopes and 116 Sn. The bare nucleus-nucleus potential, calculated with the frozen HF approach, is affected by the groundstate density of the nuclei. However, once dynamical effects are included, as in TDHF, the static effects on the barrier are essentially washed out. Dynamic properties of the nuclei, including low-lying vibrational modes, are calculated with TDHF and selectively used in coupled-channels calculations to identify which modes have the most effect on the TDHF fusion threshold. Vibrations cannot fully explain the difference between the static HF and TDHF fusion barriers trend so other dynamical effects such as transfer are considered.

Highlights

  • Nuclear structure plays a major role in nuclear fusion reactions

  • To see what this one dynamical effect has on the fusion barriers of the systems, the CC approach [52], using the CCFULL code [53] is used since dynamical effects can be added in one at a time

  • In the static picture of fusion, the HF ground state properties such as rms neutron radius of the calcium isotopes have an effect on the fusion barrier

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Summary

Introduction

Nuclear structure plays a major role in nuclear fusion reactions. Effects of internal nuclear structure on heavy-ion fusion can be seen by studying features of experimental fusion barrier distributions [1, 2]. Experiments have shown that dynamic effects such as low-lying vibrational couplings [3,4,5] and transfer reactions [6,7,8,9,10] strongly affect fusion reactions Other dynamic effects, such as breakup [11,12,13,14] and rotational couplings [4], have been seen to play a role. The coupled-channels approach is applied to study reactions and compare fusion cross sections with experimental data, for example, but it requires input parameters of the structure of the nuclei in the reaction. When these parameters are not known or where experimental data is not available, a more microscopic theoretical method is valuable. The method of including microscopic inputs to coupled-channels (CC)

Numerical details
Static fusion barriers
Dynamic fusion barriers
Vibrations
Transfer
Findings
Conclusions
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