Target screening effect on the pre-emission of neutrons fromLi11halo nuclei

Abstract

For the first time to our knowledge the target screening effect on the pre-emission of halo neutrons from $^{11}\mathrm{Li}$ has been quantitatively analyzed. Our work has been performed in the 7.5--15 MeV neutron energy range. In this range the target nuclei are likely to behave as opaque, and therefore the sharp-cutoff calculations are most appropriate for the target screening determination. It has been observed that the \ensuremath{\zeta} probability used in the sharp-cutoff calculations is an observable of the experiment, because it can be directly obtained from measured quantities, which are the number of single detected neutrons and the number of detected neutron pairs. The value of ${\ensuremath{\zeta}}_{\mathrm{exp}}$ obtained this way in the case of a Si target appears to be close to the \ensuremath{\zeta} value calculated for the $^{11}\mathrm{Li}$ halo radius ${R}_{H}=4.8$ fm, independently determined in another experiment [Phys. Lett. B287, 307 (1992)]. This property also allows investigation of Borromean halo nuclei such as $^{6}\mathrm{He}$, $^{14}\mathrm{Be}$, and $^{17}\mathrm{B}$, for which ${R}_{H}$ was not yet measured. The calculated value within the present approach of the two-neutron pre-emission yield appears to be 3.5 times larger in the case of $^{12}\mathrm{C}$ than in the case of a Si target.