Volume 466 - The 41st International Symposium on Lattice Field Theory (LATTICE2024) - Hadronic and Nuclear Spectrum and Interactions
Results on meson-meson scattering at large $N_\mathrm{c}$
J. Baeza-Ballesteros*, P. Hernandez and F. Romero-Lopez
*: corresponding author
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Pre-published on: February 04, 2025
Published on:
Abstract
We present results on the large $N_\text{c}$ scaling of meson-meson scattering amplitudes. We work in a theory with $N_\text{f}=4$ degenerate quark flavors and run lattice simulations with $N_\text{c}=3-6$ and pion mass $M_\pi\approx 590$ 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 Lüscher's quantization condition, we constrain the infinite-volume scattering amplitudes and investigate subleading $N_\text{c}$ corrections to the large $N_\text{c}$ limit. For one of the channels, we find indications of a virtual bound state at $N_\text{c}=3$, which may be related to one of the aforementioned exotic states.
DOI: https://doi.org/10.22323/1.466.0107
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