We investigate ratios of the elastic scattering cross section to Rutherford cross section, $P_{\mathrm{E}}$, and angular distributions of breakup cross section by using an optical model which exploits various long-range dynamic polarization potentials as well as short-range nuclear bare potentials for the ${}^{11}\text{Be}$ projectile. From these simultaneous analyses, we extract a large radius of a halo projectile from the experimental data for $P_{\mathrm{E}}$ and the angular distribution of the breakup cross section of the ${}^{11}\text{Be}+{}^{64}\text{Zn}$ and ${}^{11}\text{Be}+{}^{120}\text{Sn}$ systems. It results from the fact that a large radius for the long-range nuclear potential is more reasonable for properly explaining these data simultaneously. The extracted reduced interaction radius turns out to be $r_0=3.18\sim 3.61$ fm for ${}^{11}\text{Be}$ nucleus, which is larger than the conventional value of $r_0=1.1\sim 1.5$ fm used in the standard radius form $R=r_0{A}^{1/3}$. Furthermore, the larger radius as well as the normalization constant $N$ is shown to be important for understanding Coulomb dipole strength distribution.

• Received 23 November 2015
• Revised 2 May 2016

DOI:https://doi.org/10.1103/PhysRevC.93.054624