论文标题
$ d_ {s}^{+} d_ {s}^{ - } $和$ d \ bar {d} $分子的生产率
Production rates of $D_{s}^{+}D_{s}^{-}$ and $D\bar{D}$ molecules in $B$ decays
论文作者
论文摘要
由最近发现的charmon $ x（3960）$ in $ b $衰减的动机是由LHCB协作衰减的，这可能存在两个绑定/虚拟状态（用$ x_ {s \ bar {s}}} $表示$ \ bar {d} d $质量阈值最近已重新审查。在这项工作中，我们采用了有效的拉格朗日方法来计算其使用三角图的$ b $衰减中的生产率。我们的结果表明，产量的产量为$ b^{+} \至x_ {s \ bar {s}} k^{+} $和$ b^{+} \ to x_ {q \ bar {q}}} k^{+} $的顺序是$ 10^{ - 4} $的订单$ d_ {s}^{+} d_ {s}^{ - } $和$ \ bar {d} d $绑定状态确实存在，可以在$ b $衰减中检测到它们。 Moreover, we calculate the production rate of $B^{+}\to X(3960) K^{+}$ assuming that $X(3960)$ is a resonant state of $D_{s}^{+}D_{s}^{-}$ and find that it is also of the order of $10^{-4}$ but a bit smaller than that as a $ d_s^+d_s^ - $绑定状态。
Motivated by the recent discovery of a charmonium $X(3960)$ in $B$ decays by the LHCb Collaboration, the likely existence of two bound/virtual states (denoted by $ X_{s\bar{s}}$ and $ X_{q\bar{q}}$) below the $D_{s}^{+}D_{s}^{-}$ and $\bar{D}D$ mass thresholds has been re-examined recently. In this work, we employ the effective Lagrangian approach to calculate their production rates in $B$ decays utilizing triangle diagrams. Our results show that the production yields of $B^{+}\to X_{s\bar{s}} K^{+}$ and $B^{+}\to X_{q\bar{q}} K^{+}$ are of the order of $10^{-4}$, in agreement with the relevant experimental data, which indicates that, if the $D_{s}^{+}D_{s}^{-}$ and $\bar{D}D$ bound states indeed exist, they can be detected in $B$ decays. Moreover, we calculate the production rate of $B^{+}\to X(3960) K^{+}$ assuming that $X(3960)$ is a resonant state of $D_{s}^{+}D_{s}^{-}$ and find that it is also of the order of $10^{-4}$ but a bit smaller than that as a $D_s^+D_s^-$ bound state.
