Enigmatic properties of $\Xi (1620)$ and $\Xi (1690)$

Abstract

Motivated by a considerable release of data on first two excited states of the doubly strange baryon, $\Xi (1620)$ and $\Xi (1690)$, from different experimental collaborations in recent years, we investigate meson-baryon interactions in a coupled-channel approach. The systems are composed of pseudoscalar and vector mesons and the calculations are done for the total spin 1/2 and isospin 1/2 configuration. The tree-level interactions are deduced from Lagrangians based on chiral and hidden local symmetries. Specifically, we make an attempt to describe (1) data on the $K^{-}\Lambda$ femtoscopic correlation function coming from $pp$ and $PbPb$ collisions, and (2) the available data on invariant mass distributions for different systems: $\pi \Xi$, $\bar{K}\Sigma$ and $\bar{K}\Lambda$. We find that the amplitude which yields the correlation function close to the data results in mass distributions of different meson-baryon systems that are in discordance with the experimental data and vice-versa.