Calculation of resonances from $K π$ scattering

Abstract

We present a determination of the mass, width and coupling of the strange resonances appearing in pion-kaon scattering below 1.8 GeV, namely the much debated $K^*_0(800)$ or $κ$, the scalar $K^*_0(1430)$, the $K^*(892)$ and $K^*(1410)$ vectors, the spin-two $K^*_2(1430)$ as well as the spin-three $K^*_3(1780)$. The parameters of each resonance are determined using a direct analytic continuation of the pion-kaon partial waves by means of Padé approximants, thus avoiding any particular model description of their pole positions and residues, while taking into account the analytic requirements imposed by dispersion relations.

Led parallel talk at the XVII International Conference on Hadron Spectroscopy and Structure - Hadron2017, 25-29 September, 2017.University of Salamanca, Salamanca, Spain. arXiv admin note: text overlap with arXiv:1707.04534