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A dipole resonance of 11Li is newly found by a 9Li + n + n three-body modelanalysis with the complex-scaling method. The resonance can be interpreted as abound state in the 10Li + n system, that is, a Feshbach resonance in the 9Li +n + n system. As a characteristic feature of the Feshbach resonance of 11Li,the 10Li + n threshold is open above the 9Li + n + n one, which reflects adistinctive property of the Borromean system. A microscopic four-body reactioncalculation for the 11Li(p,p') reaction at 6 MeV/nucleon is performed by takinginto account the resonance and nonresonant continuum states of the three-bodysystem. The angular distribution of the elastic and inelastic scattering aswell as the breakup energy spectrum recently observed are reproduced well.

Borromean Feshbach resonance in 11Li studied via 11Li(p,p')