2025/09/17 by Badalian, A. M., Lukashov, M. S.
#FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph)
paper · doi:10.48550/arxiv.2509.13830
The masses of pure gauge glueballs are calculated with the use of relativistic string Hamiltonian without fitting parameters. The string tension σf=0.184~GeV2 in fundamental representation is fixed, using the Necco-Sommer lattice data, and to calculate the vector coupling α\rm V(r) the value of Λ_MS0=238~MeV (Nf=0) is taken. The spin-spin potential, defined via the vacuum correlation function, is shown to produce a screening effect and decrease a hyperfine splittings between tensor and scalar glueballs. The masses of first and second 0++, 2++ excitations are predicted. For the ground states the masses M(0++)=1508~MeV, M(2++)=2292~MeV (in case A), in agreement with those of f0(1500),~f2(2300) are obtained, and the first excitation mass M(0++)=2613~MeV is predicted. In case B M(0++)=1.669~MeV, M(2++)=2212~MeV are obtained.