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arXiv · 1904.13391

Meson-meson scattering in two-dimensional QCD

Guo-Ying Chen·Yingsheng Huang·Yu Jia·Rui Yu
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Abstract

We extend the formalism pioneered by Callan, Coote and Gross to investigate the meson-meson scattering within the framework of 't Hooft model, i.e., the two-dimensional QCD in the $N_c\to \infty$ limit. We derive the analytic expressions for various two-body meson-meson scattering amplitudes, concentrating on those quark diagrams which may be identified as the meson-meson contact interaction vertex in the context of the mesonic effective lagrangian in $1/N_c$ expansion. We also carry out a detailed numerical study for the meson-meson scattering for various quark flavors, and observe the near-threshold enhancement in some channels. This may be viewed as the hint of the existence of the tetra-quark state below two-meson threshold.

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Guo-Ying Chen, Yingsheng Huang, Yu Jia, Rui Yu. 2019-04-30. Meson-meson scattering in two-dimensional QCD. https://arxiv.org/abs/1904.13391

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