Role of the Λ(1600) in the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction

Role of the Λ(1600) is studied in the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction by using the effective Lagrangian approach near the threshold. We perform a calculation for the total and differential cross sections by considering the contributions from the Λ(1600) and Λ(1670) intermediate resonances decaying into ${\pi }^0{\Sigma }^{\ast 0}\left(1385\right)$ with ${\Sigma }^{\ast 0}\left(1385\right)$ decaying into ${\pi }^0\Lambda$. Additionally, the non-resonance process from u-channel nucleon pole is also taken into account. With our model parameters, the current experimental data on the total cross sections of the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction can be well reproduced. It is shown that we really need the contribution from the Λ(1600) with spin-parity $J^P=1/2^{+}$, and that these measurements can be used to determine some of the properties of the Λ(1600) resonance. Furthermore, we also plot the π ⁰Λ invariant mass distributions which could be tested by the future experimental measurements. (paper)