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

Abstract

Role of the $\Lambda (1600)$ 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 $\Lambda (1600)$ and $\Lambda (1670)$ intermediate resonances decaying into ${\pi }^0{\Sigma }^{\ast 0}(1385)$ with ${\Sigma }^{\ast 0}(1385)$ decaying into ${\pi }^0\Lambda$. Besides, 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 $\Lambda (1600)$ with spin-parity $J^P=1/2^{+}$, and that these measurements can be used to determine some of the properties of the $\Lambda (1600)$ resonance. Furthermore, we also plot the ${\pi }^0\Lambda$ invariant mass distributions which could be tested by the future experimental measurements.

Comments: 7 pages, 4 figures. Published version