2011/09/30 by A. Martínez Torres, L. R. Dai, C. Koren +3 · 1 citation
Mathematics · Physics and Astronomy · #Extrapolation #Finite volume method #Geometry #High-Energy Particle Collisions Research #Inverse #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scalar (mathematics) #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.85.014027
Published version
openalex publication_date 2012/01/25 · arxiv created 2012/02/20 · arxiv updated 2015/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
An SU(4) extrapolation of the chiral unitary theory in coupled channels done to study the scalar mesons in the charm sector is extended to produce results in finite volume. The theory in the infinite volume produces dynamically the D_s*0(2317) resonance by means of the coupled channels KD, \ensuremathηDs. Energy levels in the finite box are evaluated and, assuming that they would correspond to lattice results, the inverse problem of determining the bound states and phase shifts in the infinite volume from the lattice data is addressed. We observe that it is possible to obtain accurate KD phase shifts and the position of the D_s*0(2317) state, but it requires the explicit consideration of the two coupled channels in the analysis if one goes close to the \ensuremathηDs threshold. We also show that the finite volume spectra look rather different in case the D_s*0(2317) is a composite state of the two mesons, or if it corresponds to a non molecular state with a small overlap with the two meson system. We then show that a careful analysis of the finite volume data can shed some light on the nature of the D_s*0(2317) resonance as a KD molecule or otherwise.