Single-photon electron-positron annihilation can directly form quarkonium with . A vector S-wave quarkonium can annihilate back through a virtual photon into a charged-lepton pair. At leading nonrelativistic order, its electronic partial decay width is proportional to , where the wavefunction at the origin describes the quark-antiquark annihilation overlap.
Below the threshold for a pair of heavy-light mesons, hadronic decays require annihilation, primarily into three gluons for a color-singlet state. One gluon cannot carry a color-singlet initial state, and two gluons have the wrong charge-conjugation parity. Above the heavy-light pair threshold, a strong interaction can instead separate the heavy quark and antiquark into different mesons after creating a light pair. This can greatly increase the total decay width without comparably changing the short-distance electronic partial width. A specific example is the contrast between the first three Upsilon mesons and the state. Higher radial states can additionally undergo hadronic or radiative transitions to lower quarkonium states.
Quarkonium 2026-10-18
A quarkonium is a bound state of a heavy quark and its own antiquark. Examples are charmonium and the bottom-antibottom states called Upsilon mesons. Spectroscopic labels distinguish radial excitation, total quark spin, relative orbital angular momentum and total angular momentum.