Study of scalar meson f_0(980) and K_0^*(1430) from B \to f_0(980)\rho(\omega, \phi) and B \to K^*_0(1430)\rho(\omega) Decays

In the two-quark model supposition for $f_0(980)$ and $K_0^{\ast }(1430)$, the branching ratios and the direct CP-violating asymmetries for decays $\bar{B}^0\to f_0(980)\rho^0(\omega,\phi), K^{0}_0(1430)\rho^0(\omega), K^{-}_0(1430)\rho^+$and$B^-\to f_0(980)\rho^-, K^{0}_0(1430)\rho^-, K^{-}_0(1430)\rho^0(\omega)$ are studied by employing the perturbative QCD (PQCD)factorization approach. we find the following results: (a) if the scalar meson $f_0(980)$ is viewed as a mixture of $s\bar{s}$ and $(u\bar u+d\bar d)/\sqrt{2}$,thebranchingratiosofthedecays$\bar{B}^0\to f_0(980)\rho^0(\omega,\phi)$and$B^-\to f_0(980)\rho^-$,whichareinducedby$b\to d$ transition, are smaller than the currently experimental upper limits, and the predictions for the decay $\bar{B}^0\to f_0(980)\omega, B^-\to f_0(980)\rho^-$arenotfarawayfromtheirlimits;(b)inthedecays$B\to K^*_0(1430)\rho(\omega)$,whichareinducedby$b\to s$ transition, the branch ratio of ${\bar{B}}^0\to K_0^{\ast 0}(1430){\rho }^0$ is the smallest one in two scenarios, at the order of ${10}^{-7}$ for scenario I, about $4.8\times {10}^{-6}$ for scenario II; © the direct CP-asymmetries of the decays $B\to f_0(980)\rho(\omega)$haveastrongdependentonthemixingangle$\theta$: they are large in the range of ${25}^{\circ }<\theta <{40}^{\circ }$, and small in the range of ${140}^{\circ }<\theta <{165}^{\circ }$, while the direct CP-asymmetries of the decays $B\to K_0^{\ast }(1430)\rho (\omega )$ are not large in both scenarios and most of them are less than 20% in size.