$DK$ and $D^{\ast }K$ scattering near threshold

Abstract

We study the three $D_s$ quantum channels $J^P=0^{+}$, $1^{+}$ and $2^{+}$ where experiments have identified the charm-strange states $D_{s0}^{\ast }(2317)$, $D_{s1}(2460)$, $D_{s1}(2536)$ near the $DK$ and $D^{\ast }K$ thresholds, and $D_{s2}^{\ast }(2573)$. We consider correlation functions for sets of $\overline{q}q$ operators and, for $J^P=0^{+}$, $1^{+}$, also the $DK$ and $D^{\ast }K$ meson-meson interpolators and determine for these cases values of the elastic scattering amplitude. Constructing the full set of correlators requires propagators which connect any pair of lattice sites. For one ensemble of gauge configurations ($32^3\times 64$, $m_{\pi }\approx 156$ MeV) a stochastic distillation variant is employed and for another ensemble ($16^3\times 32$, $m_{\pi }\approx 266$ MeV) we use the full distillation method. Both, $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$, are found as bound states below threshold, whereas $D_{s1}(2536)$, and $D_{s2}^{\ast }(2573)$ are identified as narrow resonances close to the experimental masses.

arXiv comment7 pages, 3 figures; Contribution to the 32nd International Symposium on Lattice Field Theory, 23-28 June, 2014, Columbia University New York, NY

References in corpus (16)

• 2+1 Flavor Lattice QCD toward the Physical Point
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• Observed D_s(2317) and tentative D(2100-2300) as the charmed cousins of the light scalar nonet
• $D_{s0}^{\ast }(2317)$ Meson and $D$-Meson-Kaon Scattering from Lattice QCD
• Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• D Pi scattering and D meson resonances from lattice QCD
• Scattering in the pion-nucleon negative parity channel in lattice QCD
• Excited spectroscopy of charmed mesons from lattice QCD
• Reweighting towards the chiral limit
• New lattice action for heavy quarks
• Charm quark system at the physical point of 2+1 flavor lattice QCD
• Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
• Charmed hadron spectroscopy on the lattice for $N_f=2+1$ flavours
• Spectra of heavy-light and heavy-heavy mesons containing charm quarks, including higher spin states for $N_f=2+1$
• Twisted mass lattice computation of charmed mesons with focus on $D^{\ast \ast }$