Search

Abstract We study the bottomonium spectrum using a relativistic potential model in the momentum space. This model is based on a complete one gluon exchange interaction with a momentum dependent screening factor to account for the effects due to virtual pair creation that appear close to the decay thresholds. The overall model does not make use of nonrelativistic approximations. We fit well established bottomonium states below the open bottom threshold and predict the rest of the spectrum up to $$\approx 11200$$ ≈11200 MeV and $$J^{PC}=3^{--}$$ JPC=3-- . Uncertainties are treated rigorously and propagated in full to the parameters of the model using a Monte Carlo to identify if which deviations from experimental data can be absorbed into the statistical uncertainties of the models and which can be related to physics beyond the $$b\bar{b}$$ bb¯ picture, guiding future research. We get a good description of the spectrum, in particular the Belle measurement of the $$\eta _b(2S)$$ ηb(2S) state and the $$\varUpsilon (10860)$$ Υ(10860) and $$\chi _b(3P)$$ χb(3P) resonances.

Abstract We discuss the possible existence of the fully-heavy tetraquarks. We calculate the ground-state energy of the $$bb {\bar{b}} {\bar{b}}$$ bbb¯b¯ bound state, where b stands for the bottom quark, in a nonrelativistic effective field theory framework with one-gluon-exchange (OGE) color Coulomb interaction, and in a relativized diquark model characterized by OGE plus a confining potential. Our analysis advocates the existence of uni-flavor heavy four-quark bound states. The ground state $$bb{\bar{b}}{\bar{b}}$$ bbb¯b¯ tetraquark mass is predicted to be $$(18.72\pm 0.02)$$ (18.72±0.02) GeV. Mass inequality relations among the lowest $$QQ\bar{Q}\bar{Q}$$ QQQ¯Q¯ states, where $$Q\in \{c, b\}$$ Q∈{c,b} , and the corresponding heavy quarkonia are presented, which give the upper limit on the mass of ground state $$QQ\bar{Q}\bar{Q}$$ QQQ¯Q¯ . The possible decays of the lowest $$bb\bar{b}\bar{b}$$ bbb¯b¯ are highlighted, which might provide useful references in the search for them in ongoing LHC experiments, and its width is estimated to be a few tens of MeV.