Pure annihilation decays of Bs0→ a0+ a0-and Bd0→K0*+ K0*-in the PQCD approach

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We study the CP-averaged branching fractions and the CP-violating asymmetries in the pure annihilation decays of Bs0→ a0+a0-and Bd0→ K0*+K0*-,where a0[K0*]denotes the scalar ao(980) and ao(1450)[K0*(800)(or κ) and K0*(1430)],with the perturbative QCD factorization approach under the assumption of two-quark structure for the ao and K0* states.The numerical results show that the branching ratios of the Bd0→K0*+K0*-decays are in the order of 10-6,while the decay rates of the Bs0→ a0+a0-modes are in the order of 10-5.In light of the measured modes with the same quark components in the pseudoscalar sector,namely,Bd0→ K+K-and Bs0 →π+π-,the predictions for the considered decay modes in this work are expected to be measured at the Large Hadron Collider beauty and/or Belle-II experiments in the (near) future.Meanwhile,it is of great interest to find that the twist-3 distribution amplitudes φS and φT with inclusion of the Gegenbauer polynomials for the scalar ao(1450) and K0*(1430) states in scenario 2 contribute slightly to the branching ratios while significantly to the CP violations in the Bd0→ K0*(1430)+K0*(1430)-and Bs0 → a0(1450)+a0(1450)-decays,which indicates that,compared to the asymptotic φS and φT,these Gegenbauer polynomials could change the strong phases evidently in these pure annihilation decay channels.These predictions await for the future confirmation experimentally,which could further provide useful information to help explore the inner structure of the scalars and shed light on the annihilation decay mechanism.
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