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100 1 _ |a Jorge Juan, Baeza Ballesteros
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111 2 _ |a 41st International Symposium on Lattice Field Theory
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245 _ _ |a Results on meson-meson scattering at large $N_\mathrm{c}$
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500 _ _ |a 11 pages, 5 figures. Talk presented at the 41st International Symposium on Lattice Field Theory (Lattice2024), 28 July - 3 August 2024, Liverpool, UK
520 _ _ |a 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.
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700 1 _ |a Romero-López, Fernando
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773 _ _ |a 10.22323/1.466.0107
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787 0 _ |a Baeza Ballesteros, Jorge et.al.
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