Studying ${\Lambda }^{\ast }$ resonances in the $p\bar{p}\to \Lambda \bar{\Lambda }\eta$ reaction

Abstract

In this work, we make a theoretical study on the $p\bar{p}\to \Lambda \bar{\Lambda }\eta$ reaction for antiproton beam energy from threshold to 4GeV within an effective Lagrangian approach and isobar model. By assuming this reaction is dominated by the excitation of $\Lambda$ and $\bar{\Lambda }$ 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 $K^{-}p\to \eta \Lambda$ in the present reaction. It shows that the $p\bar{p}\to \bar{\Lambda }\Lambda \eta$ reaction can provide us with valuable information about the $\Lambda$ resonances having significant couplings to $\bar{K}N$ and $\Lambda \eta$ channels. Thus the experimental data of this reaction will be a good supplement to the $\bar{K}N\to \eta \Lambda$ scattering data for studying $\Lambda$ resonances.

8 pages, 5 figures

References in corpus (7)

• Dynamical coupled-channels model of $K^{-}p$ reactions (I): Determination of partial-wave amplitudes
• K* photoproduction off the nucleon: gamma N --> K* Lambda
• Scalar kappa meson in K* photoproduction
• Evidence for a narrow $D_{03}$ state in $K^{-}p\to \eta \Lambda$ near threshold
• Reaction $\bar{p}p\to {\bar{\Lambda }}_c^{-}{\Lambda }_c^{+}$ within an effective Lagrangian model
• Production of charmed baryons in $\bar{p}p$ collisions close to their thresholds
• Production of the charmoniumlike state $Y(4220)$ through the $p\bar{p}\to Y(4220){\pi }^0$ reaction