Strategies for an accurate determination of the X(3872) energy from QCD lattice simulations

TL;DR

This paper presents a method to accurately determine the binding energy of the X(3872) particle from lattice QCD simulations, emphasizing the importance of coupled channels and distinguishing neutral and charged components.

Contribution

It introduces a novel approach for extracting the X(3872) binding energy from lattice data, accounting for coupled channels and small component differences.

Findings

Accurate binding energy determination requires distinguishing neutral and charged components.

Coupled channel analysis is essential for precise results.

The method defines the lattice energy precision needed for desired accuracy.

Abstract

We develop a method to determine accurately the binding energy of the X(3872) from lattice data for the DD* interaction. We show that, because of the small difference between the neutral and charged components of the X(3872), it is necessary to distinguish them in the energy levels of the lattice spectrum if one wishes to have a precise determination of the the binding energy of the X(3872). The analysis of the data requires the use of coupled channels. Depending on the number of levels available and the size of the box we determine the precision needed in the lattice energies to finally obtain a desired accuracy in the binding energy.