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

E. Garrido·D. V. Fedorov·A. S. Jensen
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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.

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E. Garrido, D. V. Fedorov, A. S. Jensen. 2001-09-28. The $^{10}$Li spectrum and the $^{11}$Li properties. https://doi.org/10.1016/s0375-9474(01)01310-0

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