Role of neutron transfer in the enhancement of sub-barrier fusion excitation functions of various systems using an energy-dependent Woods-Saxon potential

The focus of the present article is to address the effects of the role of a neutron transfer channel in the enhancement of sub-barrier fusion excitation function data of various heavy-ion systems by using an energy-dependent Woods-Saxon potential (EDWSP) model in conjunction with the one-dimensional Wong's formula and the coupled-channel model by using the code ccfull. The effects of coupling to neutron transfer channels are found to have dominance over the coupling to low-lying surface vibrational states, such as the $2{}^{+}$ and $3{}^{-}$ vibrational states. Furthermore, the influence of inelastic surface excitations and the effects of six neutron transfer channels with positive ground state $Q$ values are mocked up by the EDWSP model.

Figure 1

The fusion excitation function of the ${}_{20}{}^{40}\mathrm{Ca}+{}_{40}{}^{90}\mathrm{Zr}$ system obtained by using the present model calculations (EDWSP model) [14, 15, 16, 17, 18] and the coupled-channel calculation by using the code ccfull [55]. The results are also compared with the experimental data(*) taken from Ref. [6].

Figure 2

The same as Fig. 1 but for the ${}_{20}{}^{48}\mathrm{Ca}+{}_{40}{}^{90}\mathrm{Zr}$ system. The experimental data (*) are taken from Ref. [56].

Figure 3

The same as Fig. 1 but for the ${}_{20}{}^{48}\mathrm{Ca}+{}_{40}{}^{96}\mathrm{Zr}$ system. The experimental data (*) are taken from Ref. [56].

Figure 4

The fusion excitation function data of the ${}_{20}{}^{48}\mathrm{Ca}+{}_{40}{}^{90,96}\mathrm{Zr}$ systems [56] along with the results obtained by using the present model calculations [14, 15, 16, 17, 18].

Figure 5

The same as Fig. 1 but for the ${}_{20}{}^{40}\mathrm{Ca}+{}_{40}{}^{94}\mathrm{Zr}$ system. The experimental data (*) are taken from Ref. [59].

Figure 6

The same as Fig. 1 but for the ${}_{20}{}^{40}\mathrm{Ca}+{}_{40}{}^{96}\mathrm{Zr}$ system. The experimental data (*) are taken from Ref. [6].

Figure 7

The same as Fig. 4 but for the ${}_{20}{}^{40}\mathrm{Ca}+{}_{40}^{90,94,96}\mathrm{Zr}$ systems. The experimental data for these systems are taken from Refs. [6, 59].