Pion mass dependence in $D\ddot{I}€$ scattering and the $D_0^{\ast }(2300)$ resonance from lattice QCD

Abstract

Lattice QCD results for isospin $I=\frac{1}{2}$ $D\ddot{I}€$ scattering are presented. Utilizing a series of $N_{\text{f}}=2+1$ Wilson-Clover ensembles with pion masses of $m_{\ddot{I}}€\approx 132,208,305$ and $317$ MeV, various two-particle operators are constructed and the corresponding finite-volume spectra are determined. The $S$ and $P$-wave scattering phase shifts are then extracted using the Lüscher approach. A clear trend for the motion of the $D_0^{\ast }(2300)$ pole is identified. With the physical pion mass configurations also included, this calculation constitutes the first lattice calculation in which the pion mass dependence of the $D_0^{\ast }(2300)$ pole is investigated and the scattering lengths are extrapolated/interpolated to the physical pion mass in $D\ddot{I}€$ scattering.

13 pages, 8 figures, 9 tables. v2: add a new calculation using a Fermilab charm action; correct a typo in Tab. 2