Fusion barrier distribution derived from quasielastic excitation functions in ${}^{11}\mathrm{B}$, ${}^{12}\mathrm{C}$, ${}^{13}\mathrm{C}+{}^{209}\mathrm{Bi}$ reactions

The representations of fusion barrier distribution were derived from the quasielastic excitation function measured at the backward angle in ${}^{11}\mathrm{B}$, ${}^{12}\mathrm{C}$, ${}^{13}\mathrm{C}+{}^{209}\mathrm{Bi}$ reactions at energies around the Coulomb barrier. The experimental fusion barrier distributions were compared with the predictions of simplified coupled-channels fusion (CCDEF) calculations with inclusion of various channels coupling because of low-lying inelastic states of target and one and few nucleon transfers. The influence of neutron transfer coupling on fusion barrier distribution has been discussed.

Figure 1

A typical $\Delta E$ versus $E_{\text{Res}}$ scatter plot for ${}^{12}\mathrm{C}+{}^{209}\mathrm{Bi}$ reactions at $E_{\text{lab}}=64$ MeV. The outgoing projectile-like fragments (C, B, and Be) are identified.

Figure 2

The measured quasielastic excitation functions for ${}^{12,13}\mathrm{C}+{}^{209}\mathrm{Bi}$ and ${}^{11}\mathrm{B}+{}^{209}\mathrm{Bi}$ reactions at 170° laboratory angle.

Figure 3

Transfer probabilities as a function of distance of closest approach, along with the exponential fits, using Eq. (9) for various transfer channels in ${}^{11}\mathrm{B}+{}^{209}\mathrm{Bi}$ and ${}^{12}\mathrm{C}+{}^{209}\mathrm{Bi}$ reactions at $E_{\text{lab}}=69$ and 85 MeV, respectively.

Figure 4

Representation of fusion barrier distribution for ${}^{12}\mathrm{C}$, ${}^{13}\mathrm{C}$, ${}^{11}\mathrm{B}+{}^{209}\mathrm{Bi}$ systems along with the simplified coupled-channels calculations for various coupling conditions. The dotted lines represent the without coupling cases, the dashed lines show coupling of target inelastic excitations, and the solid lines show coupling of both inelastic and transfer channels as listed in Table .