Systematic study of exotic 1 − + tetraquark spectroscopy

The masses of exotic quantum-number 1 − + compact tetraquark states are calculated in a constituent quark model, where a Cornell-like potential is employed as the central potential, spin-spin and spin-orbit coupling derived from the Breit-Fermi interaction are treated as hyperfine corrections, and model parameters are taken from previous works. The ground state 1 − + P-wave tetraquarks are predicted at 1.9, 4.2, and 6.6 GeV for the light, charmoniumlike, and fully charm sectors, respectively. The decay width ratios of 1 − + tetraquark states are calculated for two-body strong decay channels within the rearrangement mechanism, including ω h 1 and η f 1 for isospin I = 0 light tetraquarks, ρ h 1 and π f 1 for isospin I = 1 light tetraquarks, π / η + χ c 1 and ρ / ω + h c for charmoniumlike tetraquarks, and η c χ c 1 and J / ψ h c for fully charm tetraquarks. The theoretical results are compared with the observed exotic 1 − + states, and promising search channels for 1 − + tetraquarks are discussed. The work suggests that η 1 ( 1855 ) is unlikely to be a compact tetraquark state.