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Register a new userStudying the localized $CP$ violation and the branching fraction of the $bar{B}^0rightarrow K^-pi^+pi^+pi^-$ decay
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In this work, we study the localized $CP$ violation and the branching fraction of the four-body decay $bar{B}^0rightarrow K^-pi^+pi^-pi^+$ by employing a quasi-two-body QCD factorization approach. Considering the interference of $bar{B}^0rightarrow bar{K}_0^*(700)rho^0(770)rightarrow K^-pi^+pi^-pi^+$ and $bar{B}^0rightarrow bar{K}^*(892)f_0(500)rightarrow K^-pi^+pi^-pi^+$ channels, we predict $mathcal{A_{CP}}(bar{B}^0rightarrow K^-pi^+pi^-pi^+)in[0.15,0.28]$ and $mathcal{B}(bar{B}^0rightarrow K^-pi^+pi^-pi^+)in[1.73,5.10]times10^{-7}$, respectively, which shows that this two channels interference mechanism can induce the localized $CP$ violation to this four-body decay. Meanwhile, within the two quark model framework for the scalar mesons $f_0(500)$ and $bar{K}_0^*(700)$, we calculate the direct CP violations and branching fractions of the $bar{B}^0rightarrow bar{K}_0^*(700)rho^0(770)$ and $bar{B}^0rightarrow bar{K}^*(892)f_0(500)$ decays, respectively. The corresponding results are $mathcal{A_{CP}}(bar{B}^0rightarrow bar{K}_0^*(700)rho^0(770)) in [0.20, 0.36]$, $mathcal{A_{CP}}(bar{B}^0rightarrow bar{K}^*(892)f_0(500))in [0.08, 0.12]$, $mathcal{B} (bar{B}^0rightarrow bar{K}_0^*(700)rho^0(770)in [6.76, 18.93]times10^{-8}$ and $mathcal{B} (bar{B}^0rightarrow bar{K}^*(892)f_0(500))in [2.66, 4.80]times10^{-6}$, respectively, indicating the $CP$ violations of these two two-body decays are both positive and the branching fractions are quite different. These studies provide a new way to investigate the aforementioned four-body decay and could be helpful in clarifying the configuration of the structure of light scalar meson.
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Within the quasi-two-body decay model, we study the localized $CP$ violation and branching fraction of the four-body decay $bar{B}^0rightarrow [K^-pi^+]_{S/V}[pi^+pi^-]_{V/S} rightarrow K^-pi^+pi^-pi^+$ when $K^-pi^+$ and $pi^-pi^+$ pair invariant masses are $0.35<m_{K^-pi^+}<2.04 , mathrm{GeV}$ and $0<m_{pi^-pi^+}<1.06, mathrm{GeV}$, with the pairs being dominated by the $bar{K}^*_0(700)^0$, $bar{K}^*(892)^0$, $bar{K}^*(1410)^0$, $bar{K}^*_0(1430)$ and $bar{K}^*(1680)^0$, and $f_0(500)$, $rho^0(770)$ , $omega(782)$ and $f_0(980)$ resonances, respectively. When dealing with the dynamical functions of these resonances, $f_0(500)$, $rho^0(770)$, $f_0(980)$ and $bar{K}^*_0(1430)$ are modeled with the Bugg model, Gounaris-Sakurai function, Flatt$acute{mathrm{e}}$ formalism and LASS lineshape, respectively, while others are described by the relativistic Breit-Wigner function. Adopting the end point divergence parameters $rho_Ain[0,0.5]$ and $phi_Ain[0,2pi]$, our predicted results are $mathcal{A_{CP}}(bar{B}^0rightarrow K^-pi^+pi^+pi^-)in[-0.383,0.421]$ and $mathcal{B}(bar{B}^0rightarrow K^-pi^+pi^+pi^-)in[7.36,199.69]times10^{-8}$ based on the hypothetical $qbar{q}$ structures for the scalar mesons in the QCD factorization approach. Meanwhile, we calculate the $CP$ violating asymmetries and branching fractions of the two-body decays $bar{B}^0rightarrow SV(VS)$ and all the individual four-body decays $bar{B}^0rightarrow SV(VS) rightarrow K^-pi^+pi^-pi^+$, respectively. Our theoretical results for the two-body decays $bar{B}^0rightarrow bar{K}^*(892)^0$$f_0(980)$, $bar{B}^0rightarrow bar{K}^*_0(1430)^0$$omega(782)$, $bar{B}^0rightarrow bar{K}^*(892)^0f_0(980)$, $bar{B}^0rightarrowbar{K}^*_0(1430)^0rho$,
In this work, within the QCD factorization approach, we study the localized integrated $CP$ violation in the $B^-rightarrow pi^-pi^+pi^-$ decay and the branching fraction of the $B^-rightarrowsigmapi^-$ decay. Both the resonance and nonresonance contributions are included when we study the localized $CP$ asymmetry in the $B^-rightarrow pi^-pi^+pi^-$ decay. The resonance contributions from the scalar $sigma(600)$ and vector $rho^0(770)$ mesons are included. For the $sigma(600)$ meson, we apply both the Breit-Wigner and Bugg models to deal with its propagator, and obtain $mathcal{B}(B^-rightarrow sigma(600)pi^-)<1.67times10^{-6}$ and $mathcal{B}(B^-rightarrow sigma(600) pi^-)<1.946times10^{-5}$ in these two models, respectively. We find that there is no allowed divergence parameters $rho_S$ and $phi_S$ to satisfy the experimental data $mathcal{A_{CP}}(pi^-pi^+pi^-)=0.584pm0.082pm0.027pm0.007$ in the region $m_{pi^+pi^- mathrm{high}}^2>15$ $mathrm{GeV}^2$ and $m_{pi^+pi^-mathrm{low}}^2<0.4$ $mathrm{GeV}^2$ and the upper limit of $mathcal{B}(B^-rightarrow sigma(600)pi^-)$ in the Breit-Wigner model, however, there exists the region $rho_Sin[1.70,3.34]$ and $phi_S in [0.50,4.50]$ satisfying the data for $mathcal{A_{CP}}(pi^-pi^+pi^-)$ and the upper limit of $mathcal{B}(B^-rightarrow sigma(600)pi^-)$ in the Bugg model. This reveals that the Bugg model is more plausible than the Breit-Wigner model to describe the propagator of the $sigma(600)$ meson even though the finite width effects are considered in both models. The large values of $rho_S$ indicate that the contributions from weak annihilation and hard spectator scattering processes are both large, especially, the weak annihilation contribution should not be negleted for $B$ decays to final states including a scalar meson.
We study the decay B- --> J/psi K- pi+ pi- using 117 million BBbar events collected at the Y(4S) resonance with the BaBar detector at the PEP-II e+ e- asymmetric-energy storage ring. We measure the branching fractions Br(B- --> J/psi K- pi+ pi-) = (116 +- 7 (stat.) +- 9(syst.))* 10-5 and Br(B- --> X(3872)K-)* Br (X(3872) --> J/psi pi+ pi-) =(1.28+- 0.41)* 10-5 and find the mass of the X(3872) to be 3873.4 +- 1.4 MeV/c2. We search for the h_c narrow state in the decay B- --> h_c K-, h_c --> J/psi pi+ pi- and for the decay B- --> J/psi D0 pi-, with D0 --> K- pi+. We set the 90% C.L. limits Br(B- --> h_c K-)* Br (h_c --> J/psi pi+ pi-) <3.4 * 10-6 and Br(B- --> J/psi D0 pi-) <5.2 * 10-5.
Utilizing the dataset corresponding to an integrated luminosity of $2.93$ fb$^{-1}$ at $sqrt{s}=3.773$ GeV collected by the BESIII detector, we report the first amplitude analysis and branching fraction measurement of the $D^0rightarrow K^-pi^+pi^0pi^0$ decay. We investigate the sub-structures and determine the relative fractions and the phases among the different intermediate processes. Our results are used to provide an accurate detection efficiency and allow measurement of ${cal B}(D^0rightarrow K^-pi^+pi^0pi^0) ,=, (8.86 pm 0.13(text{stat}) pm 0.19(text{syst}))%$.
The LHCb experiment is designed to perform flavour physics measurements at the Large Hadron Collider. Using data collected during the 2010 run, we reconstruct a sample of $H_brightarrow h^+h^-$ decays, where $H_b$ can be either a $B^0$ meson, a $B_s^0$ meson or a $Lambda_b$ baryon, while $h$ and $h^prime$ stand for $pi$, $K$ or $p$. We provide preliminary values of the direct $mathcal{CP}$ asymmetries of the neutral $B^0$ and $B_s^0$ mesons $A_{CP} (B^0rightarrow K^+pi^-) = -0.074 pm 0.033mathrm{(stat.)} pm 0.008mathrm{(syst.)}$ and $A_{CP}(B_s^0rightarrowpi^+K^-)=0.15 pm 0.19mathrm{(stat.)} pm 0.02mathrm{(syst.)}$.
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