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.

16 pages, 6 figures

References in corpus (8)

• First Penning-trap mass measurement in the millisecond half-life range: the exotic halo nucleus 11Li
• Direct mass measurements of 19B, 22C, 29F, 31Ne, 34Na and other light exotic nuclei
• Comparing and contrasting nuclei and cold atomic gases
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Implications of a matter-radius measurement for the structure of Carbon-22
• Single-Particle Momentum Distribution of an Efimov trimer
• Search for ${}^{21}$C and constraints on ${}^{22}$C
• Properties of Lithium-11 and Carbon-22 at leading order in halo effective field theory

Cited by in corpus (2)

• Shrunk halo and quenched shell gap at $N=16$ in ${}^{22}$C: Inversion of $sd$ states and deformation effects
• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum