Insight into $f_0(980)$ through the $B_{(s)}$ charmed decays

Through analyzing the $B_{(s)}$ charmed decays $B^0\to {\bar{D}}_0{f}_0(980)$ and $B_s\to {\bar{D}}_0{f}_0(980)$ within the framework of the PQCD factorization approach and comparing with the current data, we find that there are two possible regions for the $f_0(980)-f_0(500)$ mixing angle $\theta$: one is centered at ${34}^{\circ }\sim {38}^{\circ }$ and the other is falls into ${142}^{\circ }\sim {154}^{\circ }$. The former can overlap mostly with one of allowed angle regions extracted from the decay $B^0\to {\bar{D}}_0{f}_0(500)$. The branching fractions of $B_s$ decay modes are less sensitive to the mixing angle compared with those of B decay modes. Especially, for the decay $B_{s}\to D^0 f_0(980)$,itsbranchingfractionchangesonlyslightlybetween$(1.2\sim1.8)\times10^{-7}$whenthemixingangle$\theta$runsfrom$0^\circ$to$180^\circ$\mathrm{.}Allofourresultssupportthepicturethatthe$f_0(980)$ is dominated by two quark component in the B decay dynamic mechanism. Furthermore, the $s\bar{s}$ component is more important than the $q\bar q=(u\bar u+d\bar d)/\sqrt{2}$component\mathrm{.}Thispointisdifferentfrom$f_0(500)/\sigma$. Last but not least, our picture is not in conflict with the popular four-quark explanation.