Isospin-$\frac{1}{2}$ $D\pi$ scattering and the $D_0^{\ast }$ resonance

Abstract

Preliminary lattice QCD results for $D\pi$ scattering in isospin $I=\frac{1}{2}$ channel are presented. Utilizing the $N_f=2+1$ Wilson-Clover configuration at two volumes ($L^3\times T=32^3\times 96$ and $48^3\times 96$) with the same lattice spacing ($a=0.07746(18)$ fm) and pion mass ($m_{\pi }\approx 303$ MeV), various two-particle operators in both the COM and the moving frames are constructed and the corresponding finite-volume spectra are determined from their correlation functions. The $S$ and $P$-wave scattering phase shifts are then extracted using the Lüscher approach, assuming negligible contributions from higher partial waves. A virtual state associated with the $D_0^{\ast }$ is also identified.

Comments: 7 pages, 3 figures, 1 table. Talk presented at the 40th International Symposium on Lattice Field Theory (Lattice2023)