Dsmesons withDKandD*Kscattering near threshold

TLDR: In this paper, the effect of nearby $DK$ and ${D}^{*}K$ thresholds on the sub-threshold states using lattice QCD was explored, where meson-meson interpolators were also included in the correlation functions.

Abstract: ${D}_{s}$ mesons are studied in three quantum channels (${J}^{P}={0}^{+}$, ${1}^{+}$ and ${2}^{+}$), where experiments have identified the very narrow ${D}_{s0}^{*}(2317)$, ${D}_{s1}(2460)$ and narrow ${D}_{s1}(2536)$, ${D}_{s2}^{*}(2573)$. We explore the effect of nearby $DK$ and ${D}^{*}K$ thresholds on the subthreshold states using lattice QCD. Our simulation is done on two very different ensembles of gauge configurations (2 or $2+1$ dynamical quarks, Pion mass of 266 or 156 MeV, lattice size $1{6}^{3}\ifmmode\times\else\texttimes\fi{}32$ or $3{2}^{3}\ifmmode\times\else\texttimes\fi{}64$). In addition to $\overline{q}q$ operators we also include meson-meson interpolators in the correlation functions. This clarifies the identification of the states above and below the scattering thresholds. The ensemble with ${m}_{\ensuremath{\pi}}\ensuremath{\simeq}156\text{ }\text{ }\mathrm{MeV}$ renders the ${D}_{s1}(2460)$ as a strong interaction bound state 44(10) MeV below ${D}^{*}K$ threshold, which is in agreement with the experiment. The ${D}_{s0}^{*}(2317)$ is found 37(17) MeV below $DK$ threshold, close to the experiment value of 45 MeV. The narrow resonances ${D}_{s1}(2536)$ and ${D}_{s2}^{*}(2573)$ are also found close to the experimental masses.