Hybrid Meson Interpretation of the Exotic Resonance π11600

Abstract

The exotic JPC=1−+resonance π11600 is examined in the framework of the Quark Model with Constituent Gluon (QMCG). We report the possibility of interpreting that resonance as qq¯g meson, with a masse ≃1.65−0.04+0.05 GeV, and a decay width to ρπ≃0.28−0.09+0.14 GeV.

Gluon mass from charmonium radiative decay and its impact on the hybrid meson properties

“…However, the first-principle computations, directly from the QCD Lagrangian are extremely difficult, due to the failure of perturbation expansions for QCD at low energies. As a result, our calculations are based on the quark-gluon constituent model (QGCM) [2] as a QCD-based phenomenological potential model. This model requires two main external ingredients (the gluon mass m g and the strong coupling constant α s ) that are extracted phenomenological (this work) or through continuum methods [3].…”

“…In this case we shall use the following lowest-lying state q q-cluster wave function for spin-space representation (for more details see [2]and references therein);…”

“…where H R and ∆V SD are the Hamiltonian of the hybrid meson state and spin-dependent corrections term respectively (we can not show all the details here since it will blow up the notation considerably, for more details the reader may take a look at ref [2]and references therein).…”

“…The photon can be experimentally detected, while the two gluons "theoretically" can bind together to form a glueball (see Figure 1), or form a hybrid via quark pair creation (QPC) by the annihilation of one of the gluons, and decay subsequently to light exotic mesons. The main salient feature of these exotic mesons is the excitation gluon picture, as it is presumed by many potential models as a massive quasi-constituent particle ( see [2] and references therein) as it plays a double role inside the hadron; since it propagates the interaction between color sources (valence quarks) and, being itself colored it undergoes the interaction. But the exploration remains neither complete nor definitive since there is a slight problem with the concept "constituent".…”