Two-body and three-body halo nuclei

Abstract

We have extracted the nuclear asymptotic normalization coefficients (ANC) for the virtual transitions B→A+N via some transfer reactions and the radioactive nuclear beam experiments. With these coefficients, root-mean-square (rms) radii for the valence particle in some possible halo nuclei have been calculated. The values of rms radii extracted with ANC approach are nearly model-independent, hence are a good quantity for the investigation of nuclear halo. In addition, we have also calculated the rms radii for the two valence neutrons in some three-body systems in terms of the relationship between the radii of valence particle, core nucleus and nuclear matter. With two conditions for nuclear halo formation, we have examined these extracted rms radii. The results show that11Be(1/2+, g.s),12B(1−, 2.621 MeV),13C(1/2+, 3.089 MeV),14C(0−, 6.903 MeV),14C(1−, 6.094 MeV),15C(1/2+, g.s) and19C(1/2+, g.s) with the valence particle in the 2s ground or excited state are the neutron halo nuclei, whereas17F(1/2+, 0.495 MeV) and21Na(1/2+, 2.423 MeV) are the proton halo nuclei in the excited state. For three-body systems, except the well-established two-neutron halo nuclei6He and11Li,14Be and17B might be the two-neutron halo nuclei as well.