The universal fusion function prescription and the empirical coupled-channel (ECC) model are used to analyze the dynamic effects on fusion cross sections for reactions ${}^{32,34,36}\mathrm{S}+{}^{204,206,208}\mathrm{Pb}$. An examination of the reduced fusion functions shows that the total dynamic effects on fusion cross sections in ${}^{36}\mathrm{S}+{}^{204,206,208}\mathrm{Pb}$ are almost the same as those in ${}^{34}\mathrm{S}+{}^{204,206,208}\mathrm{Pb}$. Furthermore, at sub-barrier energies of the reactions ${}^{32,34,36}\mathrm{S}+{}^{208}\mathrm{Pb}$, the largest enhancement of reduced fusion function is observed in the reaction ${}^{32}\mathrm{S}+{}^{208}\mathrm{Pb}$. Then the enhancement of fusion cross sections due to couplings to inelastic excitation channels and neutron transfer channels with positive $Q$ values is investigated by using the ECC model. The results show that the experimental data of the reactions ${}^{34,36}\mathrm{S}+{}^{204,206,208}\mathrm{Pb}$ and ${}^{32}\mathrm{S}+{}^{208}\mathrm{Pb}$ are reproduced well by the ECC model. In addition, it can be found that the effect of coupling to positive $Q$-value neutron transfer channels is necessary to reproduce the sub-barrier fusion data of the reaction ${}^{32}\mathrm{S}+{}^{208}\mathrm{Pb}$. Furthermore, for the two reactions ${}^{32}\mathrm{S}+{}^{204}\mathrm{Pb}$ and ${}^{32}\mathrm{S}+{}^{206}\mathrm{Pb}$, the effects of coupling to positive $Q$-value neutron transfer channels are predicted to be significant. The fusion cross sections for these two reactions are also predicted.

• Received 12 July 2021
• Accepted 25 August 2021

DOI:https://doi.org/10.1103/PhysRevC.104.034607