Interactions of charmed mesons with light pseudoscalar mesons from lattice QCD and implications on the nature of the D_{s0}^{*}(2317)
Abstract
We study the scattering of light pseudoscalar mesons (π,K) off charmed mesons (D,D_{s}) in full lattice QCD. The Swave scattering lengths are calculated using Lüscher’s finite volume technique. We use a relativistic formulation for the charm quark. For the light quark, we use domainwall fermions in the valence sector and improved KogutSusskind sea quarks. We calculate the scattering lengths of isospin3/2Dπ, D_{s}π, D_{s}K, isospin0 DK̄ and isospin1 DK̄ channels on the lattice. For the chiral extrapolation, we use a chiral unitary approach to nexttoleading order, which at the same time allows us to give predictions for other channels. It turns out that our results support the interpretation of the D_{s0}^{*}(2317) as a DK molecule. At the same time, we also update a prediction for the isospin breaking hadronic decay width Γ(D_{s0}^{*}(2317)→D_{s}π) to (133±22)keV.
 Publication:

Physical Review D
 Pub Date:
 January 2013
 DOI:
 10.1103/PhysRevD.87.014508
 arXiv:
 arXiv:1208.4535
 Bibcode:
 2013PhRvD..87a4508L
 Keywords:

 12.38.Gc;
 12.39.Fe;
 13.75.Lb;
 14.40.Lb;
 Lattice QCD calculations;
 Chiral Lagrangians;
 Mesonmeson interactions;
 Charmed mesons;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology
 EPrint:
 22 pages, 5 figures