Probing isovector scalar mesons in the charmless three-body $B$ decays

Abstract

We propose to study the multiparticle configurations of isovector scalar mesons, saying a 0 (980) and a 0 (1450), in the charmless three-body B decays.Two scenarios of configurations are assumed, with which we do the PQCD calculation for the quasi-two-body B → a 0 → K K/πη h decays respectively, and extract the corresponding branching fractions of two-body B → a 0 h decays under the narrow width approximation. Our predictions show that the first scenario with considering a 0 (980) as the lowest-lying q q state is still survival with the available measurements in B decays, the contributions from a 0 (1450) to the branching fractions in most channels are comparable in the first and second scenarios, with the second scenario states that a 0 (1450) is the lowest-lying q q state. Several channels are suggested for the forthcoming experimental measurements to reveal the multiparticle configurations of a 0 , such as the channel B 0 → a − 0 (980) [→ π − η] π + with the largest predicted branching fraction, the channels B 0 → a ± 0 (1450) → K ± K0 , π ± η π ∓ whose branching fractions obtained in the second scenario is about three times larger in magnitude than that obtained in the first scenario, and also the channels B + → a + 0 (1950) K + K0 /π + η K 0 whose branching fractions are linear dependent on the partial width Γ a 0 (1950)→KK/πη .

Resonances ρ(1450)+ and ρ(1700)+ in B → DKKdecays *

“…In the past, the resonance contributions from various intermediate states for the three-body decays ( represents pion or kaon) have been studied within the PQCD approach [24,25,[69][70][71][72][73][74][75][76][77]. In the recent work, we studied the virtual contributions for the kaon pair from the tail of in the three-body decay [78].…”

Resonances $ρ(1450)^+$ and $ρ(1700)^+$ in $B \to D KK$ decays

“…In the past years, the resonance contributions from various intermediate states for the three-body decays B → Dh 1 h 2 (h 1,2 represents pion or kaon) have been studied within the PQCD approach [24,25,[69][70][71][72][73][74][75][76][77]. In the recent work, we studied the virtual contributions for kaon pair from the tail of ρ(770) in the three-body decays B → DK K [78].…”