Two- and three-gluon glueballs of C =

We study two- and three-gluon glueballs of C = + using the method of QCD sum rules. We systematically construct their interpolating currents, and find that all the spin-1 currents of C = + vanish. This suggests that the ground-state spin-1 glueballs of C = + do not exist within the relativistic framework. We calculate masses of the two-gluon glueballs with J(PC) = 0(+/-+)/2(+/-+) and the three-gluon glueballs with J(PC) = 0(+/-+)/2(+/-+). We propose searching for the J(PC) = 0(-+)/2(-+/-)/3(+/--) three-gluon glueballs in their three-meson decay channels in the future BESIII, GlueX, LHC, and PANDA experiments.

Automated summary

The study suggests the potential nonexistence of ground-state spin-1 glueballs of C = +, and proposes searching for J(PC) = 0(-+)/2(-+/-)/3(+--) three-gluon glueballs in their three-meson decay channels in future experiments.