Pseudoscalar and vector tetraquarks bbcc

Abstract

The pseudoscalar and vector four-quark states bbcc are studied in the context of the QCD sum rule method. We model T PS and T V as structures built of diquarks b(T)C(gamma 5)b , cCc(T) and bTC(gamma 5)b , cC gamma(mu)gamma 5c(T) , respectively, with C being the charge conjugation matrix. The spectroscopic parameters of the tetraquarks T PS and T V , i.e., their masses and current couplings are calculated using QCD two-point sum rule method. We evaluate the full widths of T PS and T V by taking into account their kinematically allowed decay channels. In the case of the pseudoscalar particle they are processes T PS- Bc-B*(-)(c) ,Bc-Bc-( 1 3 P 0 ) and B *(-)(c) B-c(-) ( 1 1 P 1 ) . The vector state T V can dissociate to meson pairs 2B(c)(-) , 2B*(-)(c) and B c - B c - ( 1 1 P 1 ) . Partial widths of these decays are determined by the strong couplings at relevant tetraquark-meson-meson vertices, which evaluated in the context of the three-point sum rule approach. Predictions obtained for the mass and full width of the pseudoscalar m = ( 13 . 092 +/- 0.095) GeV, Gamma PS = ( 63 . 7 +/- 13.0) MeV and vector m = ( 13 . 15 +/- 0.10) GeV, Gamma V = ( 53 . 5 +/- 10.3) MeV tetraquarks can be useful for analyses of different four-quark resonances.