Employing Approximate Symmetries for Hidden Pole Extraction

Abstract

Recent lattice analyses of the $D\pi$ scattering by Hadron Spectrum Collaboration(HadSpec) report only one pole in the $D_0^{\ast }$ channel. This is in odds with the unitarised chiral perturbation theory analyses, which predict the $D_0^{\ast }(2300)$ as the interplay of two poles. We provide an explanation for this contradiction $-$ the exsistence of a hidden pole. We further show that the hidden pole can be better extracted from the lattice data by imposing SU(3) flavour constraints on the fitting amplitudes.

Comments: The article is submitted for inclusion in the proceedings of the 20th International Conference on Hadron Spectroscopy and Structure (HADRON 2023) held in Genova, Italy, from June 5th to 9th 2023