S-wave Lambda pi phase shift is not large - art. no. 014006

We study the strong interaction S-wave Lambda pi phase shift in the region of the Xi mass in the framework of a relativistic chiral unitary approach b ased on coupled channels. All parameters have been previously determined in a fit to strangeness S = -1 S-wave kaon-nucleon data. We find 0 degrees le ss than or equal to delta (0)less than or equal to1.1 degrees in agreement with previous chiral perturbation theory calculations (or extensions thereo f). We also discuss why a recent coupled channel K-matrix calculation gives a result for delta (0) that is negative and much bigger in magnitude. We a rgue why that value should not be trusted.