| Summary: | We study four quasi-two-body decay processes including D0⁎(2400) as the intermediate state in the perturbative QCD (PQCD) approach. The branching fraction predicted in this work for the decay mode B−→D0⁎(2400)0π−→D+π−π− agree with the data from Belle, BaBar and LHCb Collaborations. The PQCD prediction of the branching ratio for the decay B¯0→D0⁎+K−→D0π+K− is consistent with the value given by LHCb. For the decays B¯0→D0⁎+π−→D0π+π− and B−→D0⁎0K−→D+π−K−, the PQCD predicted branch ratios are 2.85−0.80+1.23(ωB)−0.81+1.05(ωDπ)−0.31+0.33(aDπ)−0.05+0.06(ΓD0⁎+)×10−4 and 4.65−1.30+1.89(ωB)−1.24+1.51(ωDπ)+0.40−0.38(aDπ)−0.18+0.22(ΓD0⁎0)×10−5, respectively. We analyze the experimental branching fractions using the ratios RD0⁎0 and RD0⁎+ which are related to the decays with the neutral and charged D0⁎(2400), respectively. The available experimental results for the quasi-two-body decays including D0⁎(2400) are not in agreement with the isospin relation and SU(3) flavor symmetry.
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