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

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 L\"uscher approach, assuming negligible contributions from higher partial waves. A virtual state associated with the \(D_0^*\) is also identified.