Resonant state $D_0^{\ast }(2400)$ in the quasi-two-body $B$ meson decays

Abstract

We study four quasi-two-body decay processes including $D_0^{\ast }(2400)$ as the intermediate state in perturbative QCD (PQCD) approach. The branching fraction predicted in this work for the decay mode $B^{-}\to D_0^{\ast }(2400{)}^0{\pi }^{-}\to D^{+}{\pi }^{-}{\pi }^{-}$ agree with the data from Belle, BaBar and LHCb Collaborations. The PQCD prediction of the branching ratio for the decay ${\bar{B}}^0\to D_0^{\ast +}{K}^{-}\to D^0{\pi }^{+}{K}^{-}$ is consistent with the value given by LHCb. For the decays ${\bar{B}}^0\to D_0^{\ast +}{\pi }^{-}\to D^0{\pi }^{+}{\pi }^{-}$ and $B^{-}\to D_0^{\ast 0}{K}^{-}\to D^{+}{\pi }^{-}{K}^{-}$, the PQCD predicted branch ratios are $2.85_{-0.80}^{+1.23}({\omega }_B{)}_{-0.81}^{+1.05}({\omega }_{D\pi }{)}_{-0.31}^{+0.33}(a_{D\pi }{)}_{-0.05}^{+0.06}({\Gamma }_{D_0^{\ast +}})\times 10^{-4}$ and $4.65_{-1.30}^{+1.89}({\omega }_B{)}_{-1.24}^{+1.51}({\omega }_{D\pi }{)}_{-0.38}^{+0.40}(a_{D\pi }{)}_{-0.18}^{+0.22}({\Gamma }_{D_0^{\ast 0}})\times 10^{-5}$, respectively. We analyze the experimental branching fractions using the ratios $R_{D_0^{\ast 0}}$ and $R_{D_0^{\ast +}}$ which are related to the decays with the neutral and charged $D_0^{\ast }(2400)$, respectively. The available experimental results for the quasi-two-body decays including $D_0^{\ast }(2400)$ are not in agreement with the isospin relation and $SU(3)$ flavor symmetry.

9 pages, 3 figures; Version submitted to Physics Letters B

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Cited by in corpus (13)

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• Will the subprocesses $\rho (770,1450{)}^0\to K^{+}{K}^{-}$ contribute large branching fractions for $B^{\pm }\to {\pi }^{\pm }{K}^{+}{K}^{-}$ decays?
• Quasi-two-body decays $B_{(s)}\to P{D}_0^{\ast }(2400)\to PD\pi$ in the perturbative QCD approach
• Virtual contributions from $D^{\ast }(2007{)}^0$ and $D^{\ast }(2010{)}^{\pm }$ in the $B\to D\pi h$ decays
• Studies of the resonance components in the $B_s$ decays into charmonia plus kaon pair
• Isovector scalar $a_0(980)$ and $a_0(1450)$ resonances in the $B\to \psi (K\bar{K},\pi \eta )$ decays
• Quasi-two-body decays $B\to D{K}^{\ast }(892)\to DK\pi$ in the perturbative QCD approach
• Contributions of the kaon pair from $\rho (770)$ for the three-body decays $B\to DK\bar{K}$
• Resonances $\rho (1450{)}^{+}$ and $\rho (1700{)}^{+}$ in $B\to DKK$ decays
• Quasi-two-body decays $B_c\to D^{\ast }h\to D\pi h$ in the perturbative QCD
• Resonances $\varphi (1020)$ and $\varphi (1680)$ contributions for the three-body decays $B^{+}\to D_s^{+}K\bar{K}$
• Quasi-two-body decays $B\to P{f}_0(500)\to P{\pi }^{+}{\pi }^{-}$ in the perturbative QCD approach
• Resonance contributions from ${\chi }_{c0}$ in the charmless three-body hadronic $B$ meson decays