Neutron-neutron correlation in the halo dissociation of light exotic nuclei

Abstract

We present model results for the two-halo-neutron correlation functions, $C_{nn}$, for the dissociation process of light exotic nuclei modelled as two neutrons and a core. A minimum is predicted for $C_{nn}$ as a function of the relative momentum of the two neutrons, $p_{nn}$, due to the coherence of the neutrons in the halo and final state interaction. Studying the systems ${}^{14}$Be, ${}^{11}$Li and ${}^6$He within this model, we show that the numerical asymptotic limit, $C_{nn}\to 1$, occurs only for $p_{nn}\gtrsim$ 400 MeV$/c$, while such limit is reached for much lower values of $p_{nn}$ in an independent particle model as the one used in the analysis of recent experimental data. Our model is consistent with data once the experimental correlation function is appropriately normalized.

arXiv comment5 pages, 3 figures - Accepted for publication in Phys. Rev. C (Rapid Communication)

References in corpus (5)

• Three-body correlations in Borromean halo nuclei
• Universal aspects of Efimov states and light halo nuclei
• Radii in weakly-bound light halo nuclei
• Scaling predictions for radii of weakly bound triatomic molecules
• Three-body model for the complete fusion of a two-cluster composite projectile with a heavy target

Cited by in corpus (9)

• Constraints on two-neutron separation energy in the Borromean ${}^{22}$C nucleus
• Trajectory of neutron$-$neutron${-}^{18}C$ excited three-body state
• Neutron${-}^{19}$C scattering near an Efimov state
• Nucleon-nucleon momentum correlation function as a probe of the density distribution of valence neutron in neutron-rich nucleus
• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• Neutron-neutron scattering length from the ${}^6$He$(p,p\alpha )nn$ reaction
• Effect of in-medium nucleon-nucleon cross section on proton-proton momentum correlation in intermediate energy heavy-ion collision
• Core momentum distribution in two-neutron halo nuclei
• Few Body Reserch - Summary