Anomalous Interactions Between Mesons with Nonzero Spin and Glueballs

Topologically nontrivial fluctuations control the anomalous interactions for the eta and eta' pseudoscalar mesons. We consider the anomalous interactions for mesons with higher spin, the heterochiral nonets with JPC = 1+- and 2-+. Under the approximation of a dilute gas of instantons, the mixing angle between nonstrange and strange mesons decreases strongly as J increases, and oscillates in sign. Anomalous interactions also open up new, rare decay channels. For glueballs, anomalous interactions indicate that the X(2600) state is primarily gluonic.