2023/05/08 by А. М. Бадалян, Badalian, A. M.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2305.04585
openalex publication_date 2023/05/08 · openalex created_date 2023/05/10 · openalex updated_date 2026/07/28
\date\today Within the diquark-antidiquark model the masses of the 0++, cc c c resonances are calculated, using the expansion of the four-quark wave function in the set of the hyperspherical functions. The interaction is defined via a universal pair-wise potential, which does not contain fitting parameters. The resulting masses M4(nS) are shown to be very sensitive to the value of c-quark mass, chosen in relativistic string Hamiltonian, and mc=1.24, 1.30, 1.43 (in GeV) are considered. The choice of mc, equal to the current mass, mc=1.245 GeV, yields three nS~(nr=0,1,2) states in a very good agreement with the masses of the X(6550), X(6900), X(7287) resonances, if the gluon-exchange interaction is totally neglected. This fact indicates on a possible screening of the gluon-exchange interaction inhe cc c c system. For mc=1.43~GeV the ground state mass M4(1S)=6557~MeV is obtained in agreement with experiment only if α\rm V≅ 0.39(1) is used, however, in this case the masses of the 2S, 3S radial excitations exceed the masses of X(6900), X(7280) by ∼ 100~MeV.