The 10Li spectrum and the 11Li properties
Abstract
The neutron--9Li interaction and the corresponding low-energy 10Li spectrum are decisive for the properties of 11Li described as a three-body system (n+n+9Li). We compute structure and breakup properties of 11Li as function of this interaction. The hyperfine structure due to the spin 3/2 of both 9Li and 11Li 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 11Li. We use established experimental constraints of both 11Li (binding energy, size and differential breakup cross sections) and of 10Li (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.
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