Extended Glauber theory and its application in halo nucleus scattering

We introduced an extended Glauber theory for a halo nucleus scattering, where the halo nucleons and the nuclear core were treated separately. Expressions of reaction and interaction cross sections of the halo nucleus scattering were derived. We took the halo structure of the projectile nucleus into account and adopted an improved optical-limit approximation. In the framework of the extended Glauber theory, we studied the reaction cross section for the halo nucleus Be-14 scattering on a target C-12. For comparison, the reaction cross sections of Be-12 + C-12 were calculated as well. The density distribution of target C-12 is taken from experiments, and those of the projectiles Be-12 and Be-14 were obtained by two methods. One is that the harmonic oscillator wave functions for Be-12 and Be-14 are used. The length of harmonic oscillator is adjusted to reproduce the reaction cross section of Be-12 + C-12 at the high energy E = 790MeV/u. The density distribution of Be-14 was also calculated self-consistently in the relativistic mean field (RMF) theory, with a long tail wave functions for the two neutrons in Be-14. It was found that the calculated reaction cross sections for Be-12 + C-12 at E = 790MeV/u and E = 56.5MeV/u were in good agreement with the experimental data no matter harmonic oscillator or RMF wave functions were used. In contrast, the experiments of the reaction cross sections for Be-14 + C-12 could only be reproduced when the wave functions of two 2s(1/2) neutrons spreaded over with a long tail. It comes to a conclusion that two outside neutrons in Be-14 form a halo structure.