$DK$ 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.

7 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 (5)

• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Reweighting towards the chiral limit
• New lattice action for heavy quarks
• Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions