Special relativity constraints on the effective constituent theory of hybrids

Details Special relativity constraints on the effective constituent theory of hybrids Special relativity constraints on the effective constituent theory of hybrids

2002-04-21

arxiv.org/abs/hep-ph/0204248v1

Phys.Rev.D67:034019,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 5 figures

Scientific paper

10.1103/PhysRevD.67.034019

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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