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

Abstract

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 $B_s\to D^0{f}_0(980)$, its branching fraction changes only slightly between $(1.2\sim 1.8)\times 10^{-7}$ when the mixing angle $\theta$ runs from $0^{\circ }$ to $180^{\circ }$. All of our results support the picture that the $f_0(980)$ 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. This point is different from $f_0(500)/\sigma$. Last but not least, our picture is not in conflict with the popular four-quark explanation.

15 pages, 4 figures

References in corpus (5)

• Exclusive semileptonic and nonleptonic decays of the Bc meson
• The Status of Glueballs
• Search for the decay $B_s^0\to {\overline{D}}^0{f}_0(980)$
• Dalitz plot analysis of $B^0\to {\overline{D}}^0{\pi }^{+}{\pi }^{-}$ decays
• $B\to S$ Transition Form Factors in the PQCD approach

Cited by in corpus (10)

• ${\bar{B}}_s\to f_0(980)$ form factors and the width effect from light-cone sum rules
• Two-body charmed B(Bs) decays involving a light scalar meson
• A study of the gamma* - f0(980) transition form factors
• Study of the $K_1(1270)-K_1(1400)$ mixing in the decays $B\to J/\Psi K_1(1270),J/\Psi K_1(1400)$
• Cabibbo-Kobayashi-Maskawa-favored $B$ decays to a scalar meson and a $D$ meson
• Calculation of the $B\to K_{0,2}^{\ast }(1430)f_0(980)/\sigma$ decays in the Perturbative QCD Approach
• The decays $B\to \Psi (2S)\pi (K),{\eta }_c(2S)\pi (K)$ in the pQCD approach beyond the leading-order
• $B_{(s)}\to D_{s0}^{\ast }(2317)P(V)$ decays in perturbative QCD approach
• Three-Body $B_{(s)}^0$ to $\varphi {\pi }^{+}{\pi }^{-}$ Decays
• Insights into the nature of the $X(3872)$ through B meson decays