WEI-SHU HOU2019-12-272019-12-27200105562821https://scholars.lib.ntu.edu.tw/handle/123456789/442822https://www.scopus.com/inward/record.uri?eid=2-s2.0-85037914646&doi=10.1103%2fPhysRevD.64.014028&partnerID=40&md5=73000b5a8b8f608faa747b2bf84de357In a model with a dynamical gluon mass, we investigate the bound states of two and three gluons via a Schrödinger equation. The short distance potential is approximated by one-gluon exchange while the long distance part is assumed to be of a breakable string. We estimate the masses and in particular the sizes of low-lying bound states with no orbital angular momentum. By considering quantum-mechanical smearing of the gluon fields and normalizing to lattice results on M0++ and M2++, we find that the 0++ glueball is rather small in size compared with the others. The fitted gluon mass is of order 600 to 700 MeV, which is reasonable. The 0-+, 1-, and 3- three gluon glueball states are nearly degenerate, and their mass ratio with 2++ is largely independent of all the parameters and consistent with lattice calculations. We estimate the mass of the 1- glueball to be around 3.1-3.7 GeV, which is close to the mass of J/ψ and ψ. © 2001 The American Physical Society.article; binding affinity; mathematical analysis; mathematical model; quantum mechanics; theoryjournal article10.1103/PhysRevD.64.0140282-s2.0-4243608287WOS:000169619300051https://www.scopus.com/inward/record.uri?eid=2-s2.0-4243608287&doi=10.1103%2fPhysRevD.64.014028&partnerID=40&md5=080ad4c233fbdb05abc6075fa68c5e75