Quasi-two-body decays $B_c\to D^*h\to D\pi h$ in the perturbative QCD

Abstract In this work, we investigate the quasi-two-body decays $B_c\to D^*h\to D\pi h$ with $h = (K^0,\pi^0,\eta,\eta^{\prime})$ using perturbative QCD(PQCD)
approach. The description of final state interactions between $D\pi$ pair is achieved through two-meson distribution amplitudes (DAs),
which are normalized to time-like form factor. PQCD predictions on branching ratios h$
show an obvious hierarchy: $Br(B_{c}^+ \to D^{*+} K^{0}\to D^0\pi^+K^{0})=({5.05}_{-0.91}^{+0.88})\times{10}^{-6},
Br(B_{c}^+ \pi^{0}\to D^0\pi^+\pi^{0})=({1.05}_{-0.18}^{+0.26})\times{10}^{-7}, Br(B_{c}^+ \eta\to D^0\pi^+\eta)
=({6.81}_{-1.08}^{+1.33})\times{10}^{-8}$ and \eta^\prime\to D^0\pi^+\eta^\prime)=({4.26}_{-0.68}^{+0.83})\times{10}^{-8}$.
 From invariant mass $m_{D\pi}$-dependences decay spectrums, one can find that fractions concentrated in a narrow region
 around $D^{*}$ pole mass.
So obtain for corresponding two-body D^{*+}h$ under width approximation. We of
the D^{*+}K^0$
and D^{*+}\pi^0$ consistent well previous calculations, while there exists $3\sim4$ times differences decays
$B_c\to D^{*+}\eta^{(\prime)}$.
These will be tested by future experiments. Content from work may used terms Creative Commons Attribution 3.0 licence. Any further must maintain attribution author(s) title journal citation DOI. Article funded SCOAP3 published licence Chinese Physical Society Institute High Energy Physics Academy Science Modern Sciences IOP Publishing Ltd.