论文标题
$ k^*_ 0（1430）$和$ k^*_ 0（1950）$的贡献在三体衰减中$ b \ tokπh$
Contributions of $K^*_0(1430)$ and $K^*_0(1950)$ in the three-body decays $B\to Kπh$
论文作者
论文摘要
我们研究了共鸣状态$ k_0^{*}（1430）$和$ k_0^{*}（1950）$在三体衰减中的$ b \ tokπh$（$ h =π，k $）的贡献。在$ s $ - 波$kπ$系统的分布幅度中，至关重要的非驱动输入$ f_ {kπ}（s）$是从真空的矩阵元素到$kπ$ pair的矩阵元素得出的。 $ cp $平均的准体衰减过程的分支部分$ b \ to k^*_ 0（1950）h \ tokπh$的订单大约小于相应的衰减$ b \ to k^*_ 0（1430）h \ tokπh$的订单。鉴于$ s $ wave $kπ$系统对$ b \ tokπh$衰减的重要贡献，在相关三体$ b $ meson衰减的理论或实验研究中忽略$ k_0^{*}（1950）$是不合适的。这项工作对相关衰减的预测与现有的实验数据一致。
We study the contributions of the resonant states $K_0^{*}(1430)$ and $K_0^{*}(1950)$ in the three-body decays $B\to Kπh$ (with $h=π, K$) in the perturbative QCD approach. The crucial nonperturbative input $F_{Kπ}(s)$ in the distribution amplitudes of the $S$-wave $Kπ$ system is derived from the matrix element of vacuum to $Kπ$ pair. The $CP$ averaged branching fraction of the quasi-two-body decay process $B\to K^*_0(1950)h\to Kπh$ is about one order smaller than that of the corresponding decay $B\to K^*_0(1430)h\to Kπh$. In view of the important contribution from the $S$-wave $Kπ$ system for the $B\to Kπh$ decays, it is not appropriate to neglect the $K_0^{*}(1950)$ in the theoretical or experimental studies for the relevant three-body $B$ meson decays. The predictions in this work for the relevant decays are consistent with the existing experimental data.
