Total reaction cross section for the ${}^6\mathrm{He}+{}^9\mathrm{Be}$ system

Elastic angular distributions of the ${}^6\mathrm{He}$ + ${}^9\mathrm{Be}$ scattering at $E_{\mathrm{lab}}=16.2$ and 21.3 MeV have been analyzed in the context of the optical model. The projectile-target optical potential was calculated in a cluster model where the contributions from the fragment target $\left(\alpha {-}^9\mathrm{Be}\right)$ and the dineutron target $\left(2n{-}^9\mathrm{Be}\right)$ are separated and the latter was searched to reproduce the experimental data. The total reaction cross sections for the ${}^6\mathrm{He}$$+{}^9\mathrm{Be}$ system have been obtained, and the error bars have been estimated considering the spread between the present optical model and previous coupled channels and continuum discretized coupled-channels calculations. The cross sections have been reduced and compared in a systematics involving tightly bound, weakly bound, and the exotic ${}^6\mathrm{He}$ projectiles, all on ${}^9\mathrm{Be}$ target. An analysis of the enhancements observed in the total reaction cross section induced by ${}^6\mathrm{He}$ on light, medium mass, and heavy targets is presented.

Figure 1

Elastic scattering angular distributions for ${}^6\mathrm{He}$ + ${}^9\mathrm{Be}$ at (a) $E_{\mathrm{lab}}=16.2$ MeV and (b) $E_{\mathrm{lab}}=21.3$ MeV. The solid circles are the data and the solid lines are the results of the optical model calculations using the folded potential shown in Table 1. These calculations have been convoluted with the experimental resolution [15] and for comparison we also present the calculation without convolution (dotted line).

Figure 2

Reduced total reaction cross section for different systems induced by exotic, weakly, and strongly bound projectiles. The solid line is the result of a São Paulo potential calculation for the ${}^6\mathrm{Li}$ scattering on ${}^9\mathrm{Be}$ target. Dashed and dotted lines are a guide to the eyes.

Figure 3

Comparison between the enhancements [Eq. (4)] in the total reaction cross section for ${}^6\mathrm{He}$ and ${}^6\mathrm{Li}$ projectiles. The dashed line is a guide to the eyes.