Results on meson-meson scattering at large $N_\text{c}$
Abstract
We present results on the large scaling of meson-meson scattering amplitudes. We work in a theory with degenerate quark flavors and run lattice simulations with and pion mass MeV. We focus on three different scattering channels, two of which have the same quantum numbers as some tetraquark candidates recently found at LHCb. Finite-volume energies are extracted using a large set of operators, containing two-particle operators corresponding to two pions or two vector mesons, and local tetraquark operators. Using L\"uscher's quantization condition, we constrain the infinite-volume scattering amplitudes and investigate subleading corrections to the large limit. For one of the channels, we find indications of a virtual bound state at , which may be related to one of the aforementioned exotic states.
Keywords
Cite
@article{arxiv.2501.19115,
title = {Results on meson-meson scattering at large $N_\text{c}$},
author = {Jorge Baeza-Ballesteros and Pilar Hernández and Fernando Romero-López},
journal= {arXiv preprint arXiv:2501.19115},
year = {2025}
}
Comments
11 pages, 5 figures. Talk presented at the 41st International Symposium on Lattice Field Theory (Lattice2024), 28 July - 3 August 2024, Liverpool, UK