Studying Λ* resonances in the p(p)over-bar → Λ(Λ)over-barη reaction

In this work, we make a theoretical study on the p (p) over bar -> Lambda(Lambda) over bar eta reaction for antiproton beam energy from threshold to 4 GeV within an effective Lagrangian approach and isobar model. By assuming this reaction is dominated by the excitation of Lambda and (Lambda) over bar resonances in intermediate states, we calculate the total cross sections and give the predictions of the angular distribution and invariant mass spectrum of final particles. In particular, we discuss the possibility to verify the existence of a narrow Lambda resonance found in the process of K- p -> eta Lambda in the present reaction. It shows that the p (p) over bar -> (Lambda) over bar Lambda eta reaction can provide us with valuable information about the Lambda resonances having significant couplings to (K) over barN and Lambda eta channels. Thus the experimental data of this reaction will be a good supplement to the (K) over barN -> eta Lambda scattering data for studying Lambda resonances.