Effective Field Theories in a Finite Volume

TL;DR

This paper uses effective field theories to analyze lattice data on meson systems, confirming certain bound states and their meson-meson components, especially in the $KD^{(*)}$ systems.

Contribution

It presents a formalism for analyzing lattice data with effective field theories and reanalyzes $KD^{(*)}$ systems to confirm bound states and their wave function components.

Findings

Confirmed the bound states $D^*_{s0}(2317)$ and $D^*_{s1}(2460)$ in lattice data.

Determined the meson-meson contributions to the wave functions of these states.

Found a large meson-meson component in both states.

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 $KD^{(*)}$ systems, where the states $D^*_{s0}(2317)$ and $D^*_{s1}(2460)$ are found as bound states of $KD$ and $KD^*$, 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 $D^*_{s0}(2317)$ and that of $KD^*$ in the wave function of $D^*_{s1}(2460)$. Our findings indicate a large meson-meson component in the two cases.