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

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

2003-12-19

arxiv.org/abs/nucl-th/0312090v1

Phys.Rev. C69 (2004) 035209

Physics

Nuclear Physics

Nuclear Theory

19 pages, 8 figures, accepted for publication in PRC

Scientific paper

10.1103/PhysRevC.69.035209

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 ``$\sigma$''-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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