$DK$ $I=0,$ $D\bar{K}$ $I=0,1$ scattering and the $D_{s0}^\ast(2317)$ from lattice QCD

TL;DR

This lattice QCD study investigates $DK$ and $Dar{K}$ scattering in various partial waves, revealing a near-threshold bound state corresponding to $D_{s0}^*(2317)$ and other resonance features relevant to charm-strange mesons.

Contribution

The paper provides the first lattice QCD calculations of $DK$ and $Dar{K}$ scattering amplitudes in multiple partial waves, elucidating the nature of the $D_{s0}^*(2317)$ and related states.

Findings

Identification of a near-threshold $J^P=0^+$ bound state in $I=0$ $DK$

Evidence of a $0^+$ virtual bound state in $I=0$ $Dar{K}$

Observation of a deeply-bound $D^*$ resonance

Abstract

Elastic scattering amplitudes for $I=0$ $DK$ and $I=0,1$ $D\bar{K}$ are computed in $S$, $P$ and $D$ partial waves using lattice QCD with light-quark masses corresponding to $m_\pi = 239$ MeV and $m_\pi = 391$ MeV. The $S$-waves contain interesting features including a near-threshold $J^P=0^+$ bound state in $I=0$ $DK$, corresponding to the $D_{s0}^\ast(2317)$, with an effect that is clearly visible above threshold, and suggestions of a $0^+$ virtual bound state in $I=0$ $D\bar{K}$. The $S$-wave $I=1$ $D\bar{K}$ amplitude is found to be weakly repulsive. The computed finite-volume spectra also contain a deeply-bound $D^\ast$ vector resonance, but negligibly small $P$-wave $DK$ interactions are observed in the energy region considered; the $P$ and $D$-wave $D\bar{K}$ amplitudes are also small. There is some evidence of $1^+$ and $2^+$ resonances in $I=0$ $DK$ at higher energies.