论文标题
$ b^{*} _ {2}（5747）$的部分波及其在强衰减中的贡献
The partial waves of $B^{*}_{2}(5747)$ and their contributions in strong decays
论文作者
论文摘要
通过采用相对论的Bethe-Salpeter方法，Ozi允许对$ 2^+$状态$ B^{*} _ {2} _ {2}（5747）^{0} $的强烈衰减，重点是为相对论更正支付的。我们首先研究了所使用的波函数中的部分波，发现$ b^{*} _ {2}（5747）（5747）^{0} $ Meson中有$ P $，$ d $和$ f $ poartial Waves，而比率$ p：d：d：d：d：f = 1：0.421：0.421：0.421：0.051 $。我们还发现$ s：p：d = 1：0.354：0.046 $ for $ b^*$，$ s：p = 1：0.343 $，$ b $梅森。 $ d $ wave的大部分在$ b^{*} _ {2}（5747）^{0} $和$ p $ wave in $ b^{（*）} $中，意味着这些状态中存在的很大的相对效应。其次，我们计算出强衰变，获得的总衰减宽度$γ（b^{*} _ {2}（5747）（5747）^{0}）= 25.9 $ MEV和分支分数$γ（b^{*} _ {*} _ {2} _ {2}（2}（5747）（5747）（5747） $γ（b^{*} _ {2}（5747）^{0} \ tobπ）= 0.96 $与实验数据一致。第三，我们研究了初始和最终波函数中不同部分波的贡献，发现相对论效应约为$ 15 \％$和$ 11 \％$，对于$ b^{*} _ {2} _ {2}（5747）^{0}^{0} \ tobπ$和$ b^$ and $ b^{*} _} _ {2} _ {2}（5777） b^{*}π$分别远小于我们的预期，表明相对论校正在这些衰减中相互取消。
By adopting the relativistic Bethe-Salpeter method, the OZI allowed strong decays of the $2^+$ state $B^{*}_{2}(5747)^{0}$ are studied, emphasis is paid to the relativistic corrections. We first study the partial waves in the wave functions used, find that there are $P$, $D$ and $F$ partial waves in $B^{*}_{2}(5747)^{0}$ meson, and the ratios $P:D:F=1:0.421:0.051$. We also find $S:P:D=1:0.354:0.046$ for $B^*$, and $S:P=1:0.343$ for $B$ meson. The large components of the $D$ wave in $B^{*}_{2}(5747)^{0}$ and $P$ wave in $B^{(*)}$ means that large relativistic effects existing in these states. Second, we calculate the strong decays, the obtained total decay width $Γ(B^{*}_{2}(5747)^{0})=25.9$ MeV and the branching fraction $Γ(B^{*}_{2}(5747)^{0} \to B^{*}π)$ / $Γ(B^{*}_{2}(5747)^{0} \to Bπ)=0.96$ are consistent well with experimental data. Third, we study the contributions of different partial waves in the initial and final wave functions, find that the relativistic effects are about $15\%$ and $11\%$ for $B^{*}_{2}(5747)^{0} \to Bπ$ and $B^{*}_{2}(5747)^{0} \to B^{*}π$, respectively, which are much smaller than our expected, showing that the relativistic corrections are cancelled to each other in these decays.
