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arXiv · nucl-th/0312090

Meson-Meson Interactions and Resonances in the 't Hooft Model

Z. Batiz·M. T. Pena·A. Stadler
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Abstract

We studied meson-meson interactions using the 't Hooft model, which represents QCD in 1+1 dimensions and assumes a large number of colors ($N_c$). The dominant interactions in this large $N_c$ limit are generated by quark exchange. Our results show that QCD in 1+1 dimensions allows the realization of a constituent-type quark model for the mesons, and generates a scalar ``$σ$''-like meson-meson resonance, whose effective coupling and mass are determined by the underlying QCD dynamics. These results suggest an interpretation of the lightest scalar mesons as $q\bar{q} q \bar{q}$ systems.

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Z. Batiz, M. T. Pena, A. Stadler. 2003-12-19. Meson-Meson Interactions and Resonances in the 't Hooft Model. https://doi.org/10.1103/physrevc.69.035209

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