Linking structure and dynamics in $(p,pn)$ reactions with Borromean nuclei: the ${}^{11}$Li$(p,pn){}^{10}$Li case

Abstract

One-neutron removal $(p,pn)$ reactions induced by two-neutron Borromean nuclei are studied within a Transfer-to-the-Continuum (TC) reaction framework, which incorporates the three-body character of the incident nucleus. The relative energy distribution of the residual unbound two-body subsystem, which is assumed to retain information on the structure of the original three-body projectile, is computed by evaluating the transition amplitude for different neutron-core final states in the continuum. These transition amplitudes depend on the overlaps between the original three-body ground-state wave function and the two-body continuum states populated in the reaction, thus ensuring a consistent description of the incident and final nuclei. By comparing different ${}^{11}$Li three-body models, it is found that the ${}^{11}$Li$(p,pn){}^{10}$Li relative energy spectrum is very sensitive to the position of the $p_{1/2}$ and $s_{1/2}$ states in ${}^{10}$Li and to the partial wave content of these configurations within the ${}^{11}$Li ground-state wave function. The possible presence of a low-lying $d_{5/2}$ resonance is discussed. The coupling of the single particle configurations with the non-zero spin of the ${}^9$Li core, which produces a spin-spin splitting of the states, is also studied. Among the considered models, the best agreement with the available data is obtained with a ${}^{11}$Li model that incorporates the actual spin of the core and contains $\sim$31\% of $p_{1/2}$-wave content in the $n$-${}^9$Li subsystem, in accord with our previous findings for the ${}^{11}$Li(p,d)${}^{10}$Li transfer reaction, and a near-threshold virtual state.

7 pages, 4 figures, submitted to PLB

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• Searching for universality of dineutron correlation at the surface of Borromean nuclei
• Benchmarking theoretical formalisms for $(p,pn)$ reactions: the ${}^{15}$C($p,pn$)${}^{14}$C case
• Three-body structure of ${}^{19}$B: Finite-range effects in two-neutron halo nuclei
• Investigating the 10Li continuum through 9Li(d,p)10Li reactions
• Opening angle and dineutron correlations in knockout reactions with Borromean two-neutron halo nuclei
• Benchmarking Faddeev and transfer-to-the-continuum calculations for (p, pN ) reactions
• The 9Li(d,p) reaction, a specific probe of 10Li, paradigm of parity--inverted nuclei around N=6 closed shell
• Exploring continuum structures in reactions with three-body nuclei
• Impact of uncertainties of unbound ${}^{10}$Li on the ground state of two-neutron halo ${}^{11}$Li