${\bar{B}}^0$, $B^{-}$ and ${\bar{B}}_s^0$ decays into $J/\psi$ and $K\bar{K}$ or $\pi \eta$

Abstract

We study the ${\bar{B}}_s^0\to J/\psi K^{+}{K}^{-}$, ${\bar{B}}^0\to J/\psi K^{+}{K}^{-}$, $B^{-}\to J/\psi K^0{K}^{-}$, ${\bar{B}}^0\to J/\psi {\pi }^0\eta$ and $B^{-}\to J/\psi {\pi }^{-}\eta$ decays and compare their mass distributions with those obtained for the ${\bar{B}}_s^0\to J/\psi {\pi }^{+}{\pi }^{-}$ and ${\bar{B}}^0\to J/\psi {\pi }^{+}{\pi }^{-}$. The approach followed consist in a factorization of the weak part and the hadronization part into a factor which is common to all the processes. Then what makes the reactions different are some trivial Cabibbo-Kobayashi-Maskawa matrix elements and the weight by which the different pairs of mesons appear in a primary step plus their final state interaction. These elements are part of the theory and thus, up to a global normalization factor, all the invariant mass distributions are predicted with no free parameters. Comparison is made with the limited experimental information available. Further comparison of these results with coming LHCb measurements will be very valuable to make progress in our understanding of the meson-meson interaction and the nature of the low lying scalar meson resonances, $f_0(500),f_0(980)$ and $a_0(980)$.

12 pages, 6 figures; v2: discussion added, references added, final version published in EPJC

References in corpus (12)

• Big-Bang Nucleosynthesis
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• $B^0$ and $B_s^0$ decays into $J/\psi$ $f_0(980)$ and $J/\psi$ $f_0(500)$ and the nature of the scalar resonances
• Measurement of the resonant and CP components in ${\overline{B}}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• Analysis of the resonant components in B0->J/ψpi+pi-
• The low lying scalar resonances in the $D^0$ decays into $K_s^0$ and $f_0(500)$, $f_0(980)$, $a_0(980)$
• Interference between f0(980) and rho(770) resonances in B --> pion-pion-kaon decays
• The Scalar Meson f0(980) in Heavy-Meson Decays
• Investigating the nature of light scalar mesons with semileptonic decays of D mesons
• $B^0$ and $B_s^0$ decays into $J/\psi$ plus a scalar or vector meson
• Scalar resonance effects on the B_s - \bar B_s mixing angle

Cited by in corpus (12)

• Weak decays of heavy hadrons into dynamically generated resonances
• Role of scalar $a_0(980)$ in the single Cabibbo Suppressed process $D^{+}\to {\pi }^{+}{\pi }^0\eta$
• The S-wave resonance contributions in the $B_s^0$ decays into $\psi (2S,3S)$ plus pion pair
• The scalar $f_0(500)$ and $f_0(980)$ resonances and vector mesons in the single Cabibbo-suppressed decays ${\Lambda }_c\to p{K}^{+}{K}^{-}$ and $p{\pi }^{+}{\pi }^{-}$
• Can the nature of $a_0(980)$ be tested in the $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decay?
• How to employ ${\bar{B}}_d^0\to J/\psi (\pi \eta ,\bar{K}K)$ decays to extract information on $\pi \eta$ scattering
• Isovector scalar $a_0(980)$ and $a_0(1450)$ resonances in the $B\to \psi (K\bar{K},\pi \eta )$ decays
• The $a_0(980)$ in the single Cabibbo-suppressed process ${\Lambda }_c\to {\pi }^0\eta p$
• Analysis of the nonleptonic charmonium modes $B_s^0\to J/\psi f_2^{\prime }(1525)$ and $B_s^0\to J/\psi K^{+}{K}^{-}$
• Resonances $\rho (1450{)}^{+}$ and $\rho (1700{)}^{+}$ in $B\to DKK$ decays
• The theoretical study of $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$
• Study $B_{(s)}^0$ decays into $\varphi$ and a scalar or vector meson