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
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
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DOI：
10.1103/physrevd.82.034036
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发表时间：
2010-06
影响因子：
5
通讯作者：
Zhi-qing Zhang
中科院分区：
文献类型：
--
作者：
Zhi-qing Zhang
在$f_0(980)$和$K_0^{*}(1430)$的双夸克模型假设中，采用微扰QCD （PQCD）分解方法研究了$\bar{B}^0\to f_0(980)\rho^0(\omega,\phi), K^{*0}_0(1430)\rho^0(\omega), K^{*-}_0(1430)\rho^+$和$B^-\to f_0(980)\rho^-, K^{*0}_0(1430)\rho^-, K^{*-}_0(1430)\rho^0(\omega)$衰变的分支比和直接cp违反不对称性。研究发现：(a)如果将标量介子$f_0(980)$看作$s\bar s$和$(u\bar u+d\bar d)/\sqrt{2}$的混合物，则由$b\to d$跃迁引起的衰变$\bar{B}^0\to f_0(980)\rho^0(\omega,\phi)$和$B^-\to f_0(980)\rho^-$的分支比小于目前的实验上限，并且对$\bar{B}^0\to f_0(980)\omega, B^-\to f_0(980)\rho^-$衰变的预测离它们的极限不远；(b)在$b\to s$跃迁引起的衰减$B\to K^*_0(1430)\rho(\omega)$中，两种情形中$\bar B^0\to K^{*0}_0(1430)\rho^0$的分支比最小，情形一的分支比为$10^{-7}$，情形二的分支比约为$4.8\times10^{-6}$；(c)衰减的直接cp -不对称性$B\to f_0(980)\rho(\omega)$对混合角$\theta$有很强的依赖性，在$25^\circ<\theta<40^\circ$范围内较大，在$140^\circ<\theta<165^\circ$范围内较小，而衰减的直接cp -不对称性$B\to K^{*}_0(1430)\rho(\omega)$在两种情况下都不大，多数小于20% in size.
In the two-quark model supposition for $f_0(980)$ and $K_0^{*}(1430)$, 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 $(u\bar u+d\bar d)/\sqrt{2}$, the branching ratios of the decays $\bar{B}^0\to f_0(980)\rho^0(\omega,\phi)$ and $B^-\to f_0(980)\rho^-$, which are induced by $b\to d$ transition, are smaller than the currently experimental upper limits, and the predictions for the decay $\bar{B}^0\to f_0(980)\omega, B^-\to f_0(980)\rho^-$ are not far away from their limits; (b) in the decays $B\to K^*_0(1430)\rho(\omega)$, which are induced by $b\to s$ transition, the branch ratio of $\bar B^0\to K^{*0}_0(1430)\rho^0$ is the smallest one in two scenarios, at the order of $10^{-7}$ for scenario I, about $4.8\times10^{-6}$ for scenario II; (c) the direct CP-asymmetries of the decays $B\to f_0(980)\rho(\omega)$ have a strong dependent on the mixing angle $\theta$: 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 $B\to K^{*}_0(1430)\rho(\omega)$ are not large in both scenarios and most of them are less than 20% in size.