Core momentum distribution in two-neutron halo nuclei

Abstract

The core momentum distribution of a weakly-bound neutron-neutron-core exotic nucleus is computed within a renormalized zero-range three-body model, with interactions in the s-wave channel. The halo wave-function in momentum space is obtained by using as inputs the two-body scattering lengths and the two-neutron separation energy. The core momentum densities are computed for ${}^{11}$Li, ${}^{14}$Be ${}^{20}$C and ${}^{22}$C. The model describes the experimental data for ${}^{11}$Li, ${}^{14}$Be and to some extend ${}^{20}$C. The recoil momentum distribution of the ${}^{20}$C from the breakup of ${}^{22}$C nucleus is computed for different two-neutron separation energies, and from the comparison with recent experimental data the two-neutron separation energy is estimated in the range $100\lesssim S_{2n}\lesssim 400$ KeV. The recoil momentum distribution depends weakly on the neutron-${}^{20}$C scattering length, while the matter radius is strongly sensitive to it. The expected universality of the momentum distribution width is verified by also considering excited states for the system.

Comments: 16 pages, 6 figures