Total Reaction Cross Section of Nucleus-Nucleus Collision and Density Distributions of Halo Nuclei

Abstract：

The total reaction cross sections of some halo nucleis on the stable nucleus have been calculated by using improved Glauber theory, which includes quantum correction, Coulomb correction and isospin effects of nucleon-nucleon collision under the assumption of the effective nuclear density distribution. The effects of halo structure on the total reaction cross section of the halo nucleus on the stable nucleus have been investigated. It is found that one can get a satisfactory agreement between the calculation results and the experimental data after considering the halo structure of halo nuclei, such as ¹¹Be,¹⁴Be and ¹¹Li, which means the different mean fields for the halo nuclei and stable nuclei. Meanwhile it is clear that the medium correction for nucleon-nucleon collision has little effect on the total reaction cross sections induced by halo nuclei due to the very weak binding and quite thin density, which is quite different from the reactions induced by stable nuclei with salient medium corrections.
And then according to experimental total reaction cross section of halo nucleus on stable nucleus we have gotten the density distributions of halo nuclei ¹¹Be,¹⁴Be and ¹¹Li with a long tail of halo neutron distribution and root mean square (RMS) radii of them. It is obvious that the large RMS radii and extended density distribution in comparison with their neighborhood nuclei demonstrate that ¹¹Be,¹⁴Be and ¹¹Li are typical halo nuclei.