Analysis of three-body charmed <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math> -meson decays under the factorization-assisted topological-amplitude approach

We analyze the quasi-two-body charmed $B$ decays $B^{+,0}_{(s)} \to D_{(s)}^* P_2 D_{(s)} P_1 P_2$ with $P_{1,2}$ as a pion or kaon. The intermediate processes $B_{(s)} $ are calculated factorization-assisted topological-amplitude approach and resonant effects Breit-Wigner formalism. Taking all p-wave resonance states \bar D_{(s)}^*$ into consideration, we present related branching fractions, calculate Breit-Wigner-Tail effects, investigate flavor $SU(3)$ breaking effects. Most of our fractions consistent perturbative QCD approach's predictions well current experimental data. With more precision calculation two body B meson decays, has significantly less theoretical uncertainty than approach. Many those channels without any data will be confronted future accurate experiment measurements. Our results Breit-Wigner-tail also agree very well. In $B^0$ this effect can reach approximately to $5\%$. It is found that not sensitive widths their corresponding resonances. symmetry investigated.