Elastic scattering of a halo nucleus in the relativistic mean field theory

The elastic scattering of the halo nucleus ${}_{}{}^{11}{}_{}{}^{}\mathrm{Li}$ from ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ and ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ is investigated within the relativistic mean field theory. The interaction potentials of the systems ${}_{}{}^{11}{}_{}{}^{}\mathrm{-}_{}^{12}{}_{}{}^{}$C and ${}_{}{}^{11}{}_{}{}^{}\mathrm{-}_{}^{28}{}_{}{}^{}$Si are calculated using both the nonlinear NLC and NL-SH and the linear LFS forces. It is found that the nonlinear NLC and NL-SH forces present more attractive potentials in the surface and tail regions than the linear LFS force. The potentials calculated by considering the halo structure of ${}_{}{}^{11}{}_{}{}^{}\mathrm{Li}$ are deeper than those calculated by neglecting this halo. Furthermore, it is pointed out that the potentials of the nonlinear NLC and NL-SH forces (calculated with the halo structure of ${}_{}{}^{11}{}_{}{}^{}\mathrm{Li}$) better describe the unusual constancy behavior of the cross section which was found experimentally for halo nuclei. © 1996 The American Physical Society.