Heavy four-quark mesons <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>b</mml:mi><mml:mi>c</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mo>‾</mml:mo></mml:mover><mml:mover accent="true"><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mo>‾</mml:mo></mml:mover></mml:math>: Scalar particle
S. S. Agaev, K. Azizi, H. Sundu
Abstract
Parameters of the heavy four-quark scalar meson T bc b ‾ c ‾ with content b c b ‾ c ‾ are calculated by means of the sum rule method. This structure is considered as a diquark-antidiquark state built of scalar diquark and antidiquark components. The mass and current coupling of T bc b ‾ c ‾ are evaluated in the context of the two-point sum rule approach. The full width of this tetraquark is estimated by taking into account two types of its possible strong decay channels. First class includes dissociation of T bc b ‾ c ‾ to mesons η c η b , B c + B c − , B c ⁎ + B c ⁎ − and B c + ( 1 3 P 0 ) B c ⁎ − . Another type of processes are generated by annihilations b ‾ b → q ‾ q of constituent b -quarks which produces the final-state charmed meson pairs D + D − , D 0 D ‾ 0 , D ⁎ + D ⁎ − , and D ⁎ 0 D ‾ ⁎ 0 . Partial width all of these decays are found using the three-point sum rule method which is required to calculate strong couplings at corresponding meson-meson-tetraquark vertices. Predictions obtained for the mass m = ( 12697 ± 90 ) MeV and width Γ [ T bc b ‾ c ‾ ] = ( 142.4 ± 16.9 ) MeV of this state are compared with alternative results, and are useful for further experimental investigations of fully heavy resonances.