Special relativity constraints on the effective constituent theory of hybrids

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.

11 pages, 5 figures

References in corpus (4)

• Dynamics of Effective Gluons
• Large-momentum convergence of Hamiltonian bound-state dynamics of effective fermions in quantum field theory
• Chiral Extrapolations and Exotic Meson Spectrum
• Renormalized Poincaré algebra for effective particles in quantum field theory

Cited by in corpus (6)

• Flow Equations and Normal Ordering. A Survey
• On two- and three-body descriptions of hybrid mesons
• Harmonic oscillator force between heavy quarks
• The "forbidden" decays of hybrid mesons to $\pi \rho$ can be large
• Towards a Relativistic Description of Exotic Meson Decays
• From asymptotic freedom toward heavy quarkonia within the renormalization group procedure for effective particles