Isovector scalar $a_0(980)$ and $a_0(1450)$ resonances in the $B\to \psi (K\bar{K},\pi \eta )$ decays

Abstract

We present an analysis of two isovector scalar resonant contributions to the $B$ decays into charmonia plus $K\bar{K}$ or $\pi \eta$ pair in the perturbative QCD approach. The Flatté model for the $a_0(980)$ resonance and the Breit Wigner formula for the $a_0(1450)$ resonance are adopted to parametrize the timelike form factors in the dimeson distribution amplitudes, which capture the important final state interactions in these processes. The predicted distribution in the $K^{+}{K}^{-}$ invariant mass as well as its integrated branching ratio for the $a_0(980)$ resonance in the $B^0\to J/\psi K^{+}{K}^{-}$ mode agree well with the current available experimental data. The obtained branching ratio of the quasi-two-body decay $B^0\to J/\psi a_0(980)(\to {\pi }^0\eta )$ can reach the order of $10^{-6}$, letting the corresponding measurement appear feasible. For the $a_0(1450)$ component, our results could be tested by further experiments in the LHCb and Belle II. We also discuss some theoretical uncertainties in detail in our calculation.

arXiv comment10 pages, 2 figures, 2 tables

References in corpus (53)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• Extraction of $V_{ub}$ from the Decay $B\to \pi l\nu$
• An $a_0$ resonance in strongly coupled $\pi \eta$, $K\overline{K}$ scattering from lattice QCD
• Weak decays of heavy hadrons into dynamically generated resonances
• Evidence for Large Direct CP Violation in B+-=>rho(770)0K+- from Analysis of the Three-Body Charmless B+-=>K+-pi+-pi-+ Decay
• Isoscalar $\pi \pi ,K\overline{K},\eta \eta$ scattering and the $\sigma ,f_0,f_2$ mesons from QCD
• Dalitz-plot analysis of the decays B+/- --> K+/- pi-/+ pi+/-
• Study of CP violation in Dalitz-plot analyses of B0 --> K+K-KS, B+ --> K+K-K+, and B+ --> KSKSK+
• Three-Body Non-Leptonic B Decays and QCD Factorization
• Branching Fractions and Direct CP Violation in Charmless Three-body Decays of B Mesons
• Three-body nonleptonic B decays in perturbative QCD
• Scalar Mesons a0(1450) and sigma(600) from Lattice QCD
• The $\varphi \to \eta {\pi }^0\gamma$ decay
• B to tensor meson form factors in the perturbative QCD approach
• How Resonances can synchronise with Thresholds
• Direct CP Violation in Charmless Three-body Decays of $B$ Mesons
• Generalized Heavy-to-Light Form Factors in Light-Cone Sum Rules
• $S$-wave resonance contributions to the $B_{(s)}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ and $B_s\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays
• Excited hadrons on the lattice: Mesons
• Properties of the a0(980) meson
• Scalar meson in dynamical and partially quenched two-flavor QCD: lattice results and chiral loops
• Study of the a_0(980) meson via the radiative decay phi->eta pi^0 gamma with the KLOE detector
• Possibility of measuring a0(980)-f0(980) mixing from J/psi -> phi a0
• Investigation of a0-f0 mixing
• S-wave ground state charmonium decays of $B_c$ mesons in the perturbative QCD approach
• Dalitz Analysis of Three-body Charmless B0=>K0pi+pi- Decay
• Re-analysis of data on a0(1450) and a0(980)
• Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes in terms of analytic and unitary meson-meson form factors
• Constraint on K Kbar compositeness of the a0(980) and f0(980) resonances from their mixing intensity
• The S-wave resonance contributions in the $B_s^0$ decays into $\psi (2S,3S)$ plus pion pair
• The $B_c\to \psi (2S)\pi$, ${\eta }_c(2S)\pi$ decays in the perturbative QCD approach
• Observation of the Semileptonic Decay $D^0\to a_0(980{)}^{-}{e}^{+}{\nu }_e$ and Evidence for $D^{+}\to a_0(980{)}^0{e}^{+}{\nu }_e$
• Amplitude analyses of the decays chi_c1 -> eta pi+ pi- and chi_c1 -> eta' pi+ pi-
• Search for CP Violation in the Dalitz-Plot Analysis of D+/- -> K+ K- pi+/-
• Studies of the resonance structure in $D^0\to K_S^0{K}^{\pm }{\pi }^{\mp }$ decays
• First observation of B0->J/ψK+K- and search for B0->J/ψϕ decays
• $S$-wave $K\pi$ contributions to the hadronic charmonium $B$ decays in the perturbative QCD approach
• Search for the $a_0(980)-f_0(980)$ mixing in weak decays of $D_s/B_s$ mesons
• Kpi form factors and final state interactions in D+ --> K- pi+ pi+ decays
• ${\bar{B}}^0$, $B^{-}$ and ${\bar{B}}_s^0$ decays into $J/\psi$ and $K\bar{K}$ or $\pi \eta$
• $P$-wave contributions to $B\to \psi \pi \pi$ decays in perturbative QCD approach
• Perturbative QCD study of $B_s$ decays to a pseudoscalar meson and a tensor meson
• How to employ ${\bar{B}}_d^0\to J/\psi (\pi \eta ,\bar{K}K)$ decays to extract information on $\pi \eta$ scattering
• Lattice QCD investigation of the structure of the $a_0(980)$ meson
• Search for B-Meson Decays to Two-Body Final States with a0(980) Mesons
• Resonant state $D_0^{\ast }(2400)$ in the quasi-two-body $B$ meson decays
• Search for Neutral B-Meson Decays to a0pi, a0K, etarho0, and etaf0
• $Z\to {\pi }^{+}{\pi }^{-},K^{+}{K}^{-}$: A touchstone of the PQCD approach
• Perturbative QCD Analysis of Exclusive Processes $e^{+}{e}^{-}\to VP$ and $e^{+}{e}^{-}\to TP$

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