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arXiv · 2410.02373

Scattering of mesons and emergence of tetraquarks in two-dimensional QCD

Hagop Sazdjian
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Abstract

Scattering of two mesons is considered in the framework of two-dimensional QCD in the large-$N_c^{}$ limit with four different quark flavors. The scattering takes place through two coupled channels, corresponding to direct and quark-exchange processes, which are of order $O(N_c^{-2})$ and $O(N_c^{-1})$, respectively. Finiteness of the scattering amplitudes to order $N_c^{-2}$ is pointed out. The theory reduces, at low energies, to an effective theory of mesons, interacting by a quark-exchange process, by means of a contact term. The unitarization of the scattering amplitudes leads to the emergence of a tetraquark bound state, located very close to the lowest two-meson elastic threshold.

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Hagop Sazdjian. 2024-10-03. Scattering of mesons and emergence of tetraquarks in two-dimensional QCD. https://doi.org/10.1051/epjconf%2F202431400011

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