Results on meson-meson scattering at large $N_\mathrm{c}$
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.
Authors
- Fernando Romero-López (ORCID: https://orcid.org/0000-0003-0239-1394)
- Jorge Baeza-Ballesteros (ORCID: https://orcid.org/0000-0002-1992-6992)
- Pilar Hernández (ORCID: https://orcid.org/0000-0003-3838-5308)
Publication Details
- Published
- 2025-02-04
- DOI
- https://doi.org/10.22323/1.466.0107
- Citations
- 1
- Primary Topic
- Quantum Chromodynamics and Particle Interactions
- Type
- article
- Field-Weighted Citation Impact
- 1.87
Funders
- Generalitat Valenciana
- Ministerio de Ciencia e Innovación
- Horizon 2020 Framework Programme