Exotic mesons are mesons that have quantum numbers not possible in the quark model; some proposals for non-standardquark model mesons could be: ;glueballs or gluonium: Glueballs have no valence quarks at all. ;tetraquarks: Tetraquarks have two valence quark-antiquark pairs. ;hybrid mesons: Hybrid mesons contain a valence quark-antiquark pair and one or more gluons. All exotic mesons are classed as mesons because they are hadrons and carry zero baryon number. Of these, glueballs must be flavor singlets – that is, must have zero isospin, strangeness, charm, bottomness, and topness. Like all particle states, exotic mesons are specified by the quantum numbers which label representations of the Poincaré symmetry, q.e., by the mass, and by, where is the angular momentum, is the intrinsic parity, and is the charge conjugation parity; One also often specifies the isospin of the meson. Typically, every quark model meson comes in SU flavor nonet: an octet and an associated flavor singlet. A glueball shows up as an extra particle outside the nonet. In spite of such seemingly simple counting, the assignment of any given state as a glueball, tetraquark, or hybrid remains tentative even today, hence the preference for the more generic termexotic meson. Even when there is agreement that one of several states is one of these non-quark model mesons, the degree of mixing, and the precise assignment is fraught with uncertainties. There is also the considerable experimental labor of assigning quantum numbers to each state and crosschecking them in other experiments. As a result, all assignments outside the quark model are tentative. The remainder of this article outlines the situation as it stood at the end of 2004.
Lattice predictions
predictions for glueballs are now fairly settled, at least when virtual quarks are neglected. The two lowest states are The 0−+ and exotic glueballs such as 0−− are all expected to lie above. Glueballs are necessarily isoscalar, with isospin = 0. The ground statehybrid mesons 0−+, 1−+, 1−−, and 2−+ all lie a little below. The hybrid with exotic quantum numbers 1−+ is at. The best lattice computations to date are made in the quenched approximation, which neglects virtual quarks loops. As a result, these computations miss mixing with meson states.
The ++ states
The datashow five isoscalar resonances:,,,, and. Of these the is usually identified with the of chiral models. The decays and production of give strong evidence that it is also a meson.
The and cannot both be a quark model meson, because one is. The production of the higher mass state in two photon reactions such as or reactions is highly suppressed. The decays also give some evidence that one of these could be a glueball.
The has been identified by some authors as a tetraquark meson, along with the = 1 states and. Two long-lived states: the scalar state and the vector meson, observed at CLEO and BaBar, have also been tentatively identified as tetraquark states. However, for these, other explanations are possible.
The states
Two isoscalar states are definitely identified: and the ′. No other states have been consistently identified by all experiments. Hence it is difficult to say more about these states.
The exotics and other states
The two isovector exotics 1 and 1 seem to be well established experimentally. A recent coupled-channel analysis has shown these states, which were initially considered separate, are consistent with a single pole. A second exotic state is disfavored. The assignment of these states as hybrids is favored. Lattice QCDcalculations show the lightest with 1 quantum numbers has strong overlap with operators featuring gluonic construction. The 0, 1 and the 2 are fairly well identified states, which have been tentatively identified as hybrids by some authors. If this identification is correct, then it is a remarkable agreement with lattice computations, which place several hybrids in this range of masses.
