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arXiv · 1512.02070

Core momentum distribution in two-neutron halo nuclei

Lucas A. Souza·Filipe F Bellotti·Marcelo T. Yamashita·Tobias Frederico·Lauro Tomio
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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.

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Lucas A. Souza, Filipe F Bellotti, Marcelo T. Yamashita, Tobias Frederico, Lauro Tomio. 2015-12-07. Core momentum distribution in two-neutron halo nuclei. https://doi.org/10.1016/j.physletb.2016.03.087

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