Effective Field Theories in a Finite Volume

Abstract

In this talk I present the formalism we have used to analyze Lattice data on two meson systems by means of effective field theories. In particular I present the results obtained from a reanalysis of the lattice data on the $K{D}^{(\ast )}$ systems, where the states $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\ast }(2460)$ are found as bound states of $KD$ and $K{D}^{\ast }$, respectively. We confirm the presence of such states in the lattice data and determine the contribution of the $KD$ channel in the wave function of $D_{s0}^{\ast }(2317)$ and that of $K{D}^{\ast }$ in the wave function of $D_{s1}^{\ast }(2460)$. Our findings indicate a large meson-meson component in the two cases.

arXiv commentProceedings Light Cone 2017

References in corpus (14)

• Dynamically Generated Open and Hidden Charm Meson Systems
• Couplings in coupled channels versus wave functions: application to the X(3872) resonance
• Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector
• Origin of resonances in the chiral unitary approach
• 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
• Axial Resonances in the Open and Hidden Charm Sectors
• The lightest hybrid meson supermultiplet in QCD
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Masses and decay constants of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ from $N_f=2$ lattice QCD close to the physical point
• The $KD$, $\eta D_s$ interaction in finite volume and the nature of the $D_{s^{\ast }0}(2317)$ resonance
• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
• Strategy to find the two $\Lambda (1405)$ states from lattice QCD simulations
• Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD