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arXiv · 1712.08503

Fine-tuning in scalar meson decay with bound-state corrections

M. L. L. da Silva·D. T. da Silva·C. A. Z. Vasconcellos·D. Hadjimichef
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Abstract

The glueball-quarkonia mixture decay amplitude has been evaluated, in the literature, by diagrammatic techniques for drawing quark lines and the quark-gluon vertex. In this paper we use an alternative approach which consists in a mapping technique, the Fock-Tani formalism, in order to obtain an effective Hamiltonian starting from microscopic interactions. An extra effect is present in this formalism associated to the extended nature of mesons: bound-state corrections, which introduces an additional decay amplitude and sets a fine-tuning procedure for general meson decay calculations. The $f_0(1500) \to \pi \pi$ channel shall be considered as numerical example of the procedure.

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M. L. L. da Silva, D. T. da Silva, C. A. Z. Vasconcellos, D. Hadjimichef. 2017-12-22. Fine-tuning in scalar meson decay with bound-state corrections. https://arxiv.org/abs/1712.08503

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