English

$DK$ and $D^* K$ scattering near threshold

High Energy Physics - Lattice 2015-05-25 v1

Abstract

We study the three DsD_s quantum channels JP=0+J^P = 0^+, 1+1^+ and 2+2^+ where experiments have identified the charm-strange states Ds0(2317)D^*_{s0} (2317), Ds1(2460)D_{s1}(2460), Ds1(2536)D_{s1}(2536) near the DKDK and DKD^*K thresholds, and Ds2(2573)D^*_{s2}(2573). We consider correlation functions for sets of qq\overline q q operators and, for JP=0+J^P = 0^+, 1+1^+, also the DKDK and DKD^*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 (323×6432^3\times 64, mπ156m_\pi\approx 156 MeV) a stochastic distillation variant is employed and for another ensemble (163×3216^3\times 32, mπ266m_\pi\approx 266 MeV) we use the full distillation method. Both, Ds0(2317)D^*_{s0} (2317) and Ds1(2460)D_{s1}(2460), are found as bound states below threshold, whereas Ds1(2536)D_{s1}(2536), and Ds2(2573)D^*_{s2}(2573) are identified as narrow resonances close to the experimental masses.

Keywords

Cite

@article{arxiv.1410.6668,
  title  = {$DK$ and $D^* K$ scattering near threshold},
  author = {C. B. Lang and Luka Leskovec and Daniel Mohler and Sasa Prelovsek and R. M. Woloshyn},
  journal= {arXiv preprint arXiv:1410.6668},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T06:35:18.657Z