Angular momentum and parity of a two gluon system

Abstract

In this work we obtain all the allowed values of the angular momentum and parity for two massless non-Abelian fields. In particular, we show that, unlike the two photons system, two gluons can be in a state with $J^P=1^{\pm }$, $(2k{)}^{-}$, and $(2k+1{)}^{-}$, $k\ge 1$. This is a general result since it was obtained using only the laws of addition of the angular momentum.

Comments: 8 pages, no figures