The ${}^{10}$Li spectrum and the ${}^{11}$Li properties

Abstract

The neutron--${}^9$Li interaction and the corresponding low-energy ${}^{10}$Li spectrum are decisive for the properties of ${}^{11}$Li described as a three-body system (n+n+${}^9$Li). We compute structure and breakup properties of ${}^{11}$Li as function of this interaction. The hyperfine structure due to the spin 3/2 of both ${}^9$Li and ${}^{11}$Li is needed and treated with special care. We use the hyperspherical adiabatic expansion of the Faddeev equations for the structure and the participant-spectator model for the breakup reactions of ${}^{11}$Li. We use established experimental constraints of both ${}^{11}$Li (binding energy, size and differential breakup cross sections) and of ${}^{10}$Li (a virtual s-state below 50 keV and a $p$-resonance around 0.54 MeV).Another $p$-resonance must then be present below 0.54 MeV and another $s$-level must be present between about 0.5 MeV and 1 MeV depending on unknown spin assignments. All established facts are in agreement with our predictions obtained within the same consistent model.

27 pages, 8 figures

References in corpus (3)

• Breakup Reactions of 11Li within a Three-Body Model
• Phase equivalent potentials for three-body halos
• Comprehensive calculations of three--body breakup cross sections

Cited by in corpus (22)

• Roles of the tensor and pairing correlations on the halo formation in 11Li
• Three-body structure of the low-lying ${}^{17}$Ne-states
• Structure of low-lying 12C-resonances
• Relative production rates of ${}^6$He, ${}^9$Be, ${}^{12}$C in astrophysical environments
• Distinction between sequential and direct three-body decays
• Dipole excited states in ${}^{11}$Li with complex scaling
• Three-body structure of low-lying 12Be states
• Di-neutron clustering and deuteron-like tensor correlation in nuclear structure focusing on 11Li
• Experimental study of intruder components in light neutron-rich nuclei via single-nucleon transfer reaction
• Description of the ${}^{11}$Li$(p,d){}^{10}$Li transfer reaction using structure overlaps from a full three-body model
• Linking structure and dynamics in $(p,pn)$ reactions with Borromean nuclei: the ${}^{11}$Li$(p,pn){}^{10}$Li case
• Effects of deformation in the three-body structure of 11Li
• Spin-dependent effective interactions for halo nuclei
• Three-body structure of low-lying 18Ne states
• Cluster sum rules for three-body systems with angular-momentum dependent interactions
• Three-body properties of low-lying ${}^{12}$Be resonances
• Opening angle and dineutron correlations in knockout reactions with Borromean two-neutron halo nuclei
• Few-body structures in the mirror nuclei, ${}^{11}$O and ${}^{11}$Li
• Analysis of the unbound spectrum of ${}^{12}$Li
• Combined few-body and mean-field model for nuclei
• The 9Li(d,p) reaction, a specific probe of 10Li, paradigm of parity--inverted nuclei around N=6 closed shell
• Origin of Borromean systems