Abstract
The core recoil momentum distribution of neutron-rich isotopes of light exotic nuclei is studied within a three-body model, where the nuclei are described by a core and two neutrons, with interactions dominated by the s-wave channel. In our framework, the two-body subsystems should have large scattering lengths in comparison with the interaction range allowing to use a three-body model with a zero-range force. The ground-state halo wave functions in momentum space are obtained by using as inputs the two-neutron separation energy and the energies of the singlet neutron-neutron and neutron-core virtual states. Within our model, we obtain the momentum probability densities for the Borromean exotic nuclei 11 Li and 22 C. In the case of the core recoil momentum distribution of 11Li, a fair reproduction of the experimental data was obtained, without free parameters, considering only the two-body low-energies. By analysing the obtained core momentum distribution in face of recent experimental data, we verify that such data are constraining the 22 C two-neutron separation energy to a value between 100 and 400 keV.
Highlights
The observation of a large enhancement of the reaction cross sections of 22C on liquid hydrogen target at 40A MeV compared to the neighbour nuclei 19C and 20C by Tanaka and collaborators [1], analysed with a finite-range Glauber calculation under an optical-limit approximation suggested a matter rootmean-square radius of 5.4 ± 0.9 fm
The comparison between the experimental data for the core recoil momentum distributions of 11Li [5] and 22C [6] indicates similar sizes of their halos composed by two neutrons, which suggest that the matter radius of this carbon isotope could be overestimated
Our interest is to provide a constraint to the parameters associated with the halo structure and two-neutron separation energy based on these data fitted to three-body model calculations
Summary
The observation of a large enhancement of the reaction cross sections of 22C on liquid hydrogen target at 40A MeV compared to the neighbour nuclei 19C and 20C by Tanaka and collaborators [1], analysed with a finite-range Glauber calculation under an optical-limit approximation suggested a matter rootmean-square (rms) radius of 5.4 ± 0.9 fm. The comparison between the experimental data for the core recoil momentum distributions of 11Li [5] and 22C [6] indicates similar sizes of their halos composed by two neutrons, which suggest that the matter radius of this carbon isotope could be overestimated (for further discussions see [7]). Our aim is to investigate theoretically within a three-body model, the core recoil momentum distribution as obtained experimentally by the halo breakup in nuclear targets.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
