论文标题
重夸克辐射电磁衰变中的部分波效应
Partial wave effects in the heavy quarkonium radiative electromagnetic decays
论文作者
论文摘要
在上一篇论文\ cite {bc}中，指出所有粒子的波函数不是纯波，除了主要部分波，它们都包含{其他部分波浪}。知道这些不同的部分波在粒子过渡中起着什么作用，这是非常有趣的。因此，通过使用Bethe-Salpeter方程方法，我们研究了辐射电磁衰变$ψ\rightarrowγχ_{_ {_ {cj}} $和$υ\rightArrowγχ_{_ {_ {bj}}} $（$ j = 0,1,1,2 $）。我们发现，对于$ s $和$ p $ wave主导的状态，例如$ψ（2s）$，$υ（2s）$，$χ_ {_ {_ {cj}}}（1p）$，$χ_{_ {_ {_ {bj}}}}（1p）}（1p）（1p）$等，$ s $ s $ s $ s $和$ p $ wave和decistic ant decist for decist contic ant decist for decist for decist for decist for decist for decist for decist for decist for decist；其他部分波主要有助于相对论校正。对于$ψ（1D）$，$υ（2D）$，$χ_{C2}（1F）$和$χ_{B2}（1F）$等的州，它们是由$ s-p-d $混合状态由$ d $ wave或$ d $ wave或$ p-d-f $ wave的混合状态主导的。在过渡$ψ（2D）\至χ_{c2}（1f）$，$υ（1D）\至χ_{BJ}（1p）$和$υ（2d）\ toχ_{BJ}（bj}（bj}（2p）$等）中，可能会帮助$，这可能会帮助$，这可能会帮助$，这可能会帮助$ nive $， $υ（1D）$和$υ（2D）$。
In a previous paper \cite{Bc}, it was pointed out that the wave functions of all particles are not pure waves, besides the main partial waves, they all contain {other partial waves}. It is very interesting to know what role these different partial waves play in particle transitions. Therefore, by using the Bethe-Salpeter equation method, we study the radiative electromagnetic decays $ψ\rightarrowγχ_{_{cJ}}$ and $Υ\rightarrowγχ_{_{bJ}}$ ($J=0,1,2$). We find that for the $S$ and $P$ wave dominated states, like the $ψ(2S)$, $Υ(2S)$, $χ_{_{cJ}}(1P)$, and $χ_{_{bJ}}(1P)$ etc., the dominant $S$ and $P$ waves provide main and nonrelativistic contrition to the decays; other partial waves mainly contribute to the relativistic correction. For the states like the $ψ(1D)$, $Υ(2D)$, $χ_{c2}(1F)$, and $χ_{b2}(1F)$ etc., they are the $S-P-D$ mixing state dominated by $D$ wave or the $P-D-F$ mixing state dominated by $F$ wave. Large decay widths are found in the transitions $ψ(2D)\to χ_{c2}(1F)$, $Υ(1D)\to χ_{bJ}(1P)$, and $Υ(2D)\to χ_{bJ}(2P)$ etc., which may be helpful to study the missing states $χ_{c2}(1F)$, $Υ(1D)$, and $Υ(2D)$.
