Interaction of the pseudoscalar glueball with (pseudo)scalar mesons and nucleons

Phenomenology of the pseudoscalar glueball with a mass of 2.6 GeV

“…The effective chiral Lagrangian which couples the pseudoscalar glueball G ≡ gg with quantum numbers J P C = 0 −+ to the ordinary scalar and pseudoscalar mesons reads [6,7,9]:…”

“…This pseudoscalar glueball, denoted as G ≡ gg, is studied here: we calculate its decays into three pseudoscalar mesons, G → P P P , and a pseudoscalar and a scalar meson, G → P S. The interaction between the pseudoscalar glueball and the ordinary scalar and pseudoscalar mesons is described by the effective chiral Lagrangian introduced in Refs. [6,7]. The branching ratios represent a parameter free prediction of our approach.…”

Interaction of the pseudoscalar glueball with (pseudo)scalar mesons and their first excited states

“…In recent years, the investigation of the properties of glueballs, bound states of gluons, and exotic states has been the focus of many experimental and theoretical hadronic physics studies [1,2] for a deeper understanding of the non-perturbative behavior of Quantum Chromodynamics (QCD). The hadronic properties of pseudoscalar glueball and its exotic states have been also widely investigated [3,4,5,6,7] and References therein because they contain an important feature of QCD, the chiral anomaly [8]. Lattice QCD simulations calculated the glueball spectrum [9,10,11], and predicted the pseudoscalar glueball state, J PC = 0 −+ , with a mass of about 2.6 GeV.…”

“…Lattice QCD simulations calculated the glueball spectrum [9,10,11], and predicted the pseudoscalar glueball state, J PC = 0 −+ , with a mass of about 2.6 GeV. The decay widths of the lightest pseudoscalar glueball were computed into light mesons [4], excited mesons [12] and into two nucleons [5]. In addition, the two-and three-body decays of the first excited pseudoscalar glueball have been calculated and were presented as the branching ratio, as seen in Refs.…”

“…The model implements the symmetries of the QCD and their breaking and contains all quark-antiquark mesons with (pseudo)scalar and (axial)vector as well as a scalar and a pseudoscalar glueball. The eLSM played an important role in the study of hadron phenomenology, which has been successfully used to study the vacuum properties of light mesons in the cases of N f = 2 [14], N f = 3 [15], glueballs [4,5,7,16,12], baryons [17], excited mesons [13], hybrids [18], and charmed mesons [19,20,21].…”