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arXiv · hep-ph/0204248

Special relativity constraints on the effective constituent theory of hybrids

Stanislaw D. Glazek·Adam P. Szczepaniak
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Abstract

We consider a simplified constituent model for relativistic strong-interaction decays of hybrid mesons. The model is constructed using rules of renormalization group procedure for effective particles in light-front quantum field theory, which enables us to introduce low-energy phenomenological parameters. Boost covariance is kinematical and special relativity constraints are reduced to the requirements of rotational symmetry. For a hybrid meson decaying into two mesons through dissociation of a constituent gluon into a quark-anti-quark pair, the simplified constituent model leads to a rotationally symmetric decay amplitude if the hybrid meson state is made of a constituent gluon and a quark-anti-quark pair of size several times smaller than the distance between the gluon and the pair, as if the pair originated from one gluon in a gluonium state in the same effective theory.

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Stanislaw D. Glazek, Adam P. Szczepaniak. 2002-04-21. Special relativity constraints on the effective constituent theory of hybrids. https://doi.org/10.1103/physrevd.67.034019

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