Estimation of the breakup cross sections in ${}^6$He+${}^{12}$C reaction within high-energy approximation and microscopic optical potential

Abstract

The breakup cross sections in the reaction ${}^6$He+${}^{12}$C are calculated at about 40 MeV/nucleon using the high-energy approximation (HEA) and with the help of microscopic optical potentials (OP) of interaction with the target nucleus ${}^{12}$C of the projectile nucleus fragments ${}^4$He and 2n. Considering the di-neutron $h$=2n as a single particle the relative motion $h\alpha$ wave function is estimated so that to explain both the separation energy of $h$ in ${}^6$He and the rms radius of the latter. The stripping and absorbtion total cross sections are calculated and their sum is compared with the total reaction cross section obtained within a double-folding microscopic OP for the ${}^6$He+${}^{12}$C scattering. It is concluded that the breakup cross sections contribute in about 50% of the total reaction cross section.

Comments: 9 pages, 4 figures, 2 tables; to be published in Proceedings of the 29th International Workshop on Nuclear Theory (June 2010, Rila Mountains, Bulgaria)