论文标题
$ 2^3S_1 $和$ 1^3D_1 $ Charmed Mesons之间的动态混合
Dynamical mixing between $2^3S_1$ and $1^3D_1$ charmed mesons
论文作者
论文摘要
在Charmed $ d $和$ d_s $ Mesons行业中，在$ 2^3S_1 $和$ 1^3D_1 $子空间中计算出夸克电位模型中的哈密顿量的矩阵。 $ 2^3S_1 $和$ 1^3D_1 $的四个混合状态的质量用$ d^*_ 1（2635）$，$ d^*_ 1（2739）$，$ d^*_ {s1}（2715）（2715）$和$ d^*_ {s1}（s1}（2805）$已获得。它是自旋轨道张量交互的一个偏高部分，它导致$ 2^3S_1 $和$ 1^3D_1 $状态的混合。 $ 2^3S_1 $和$ 1^3D_1 $状态之间的混合角度很小。在混合下，采用了$^3P_0 $型号来计算四个混合状态的所有Ozi允许衰减通道的辐射宽度。两种光混合状态$ d^*_ 1（2635）$和$ d^*_ {s1}（2715）$在弥撒中接近$ d^*_ j（2600）$和$ d^*_ {s1}（2700）$ $ d（2750）$和$ d^*_ {S1}（2860）$。从动态相互作用获得的混合角与从辐射衰减获得的混合角度不一致。基于质谱和强化衰变分析，$ d^*_ J（2600）$，$ d（2750）$，$ d^*_ {s1}（2700）$和$ d^*_ {s1}（2860）$是$ 2^3s_1 $ and $ 2^3s_1 $和$ 1^3d _ $ angles at ang at ang at ang at ang at ang at ang at ang ang at ang at ang and ang ang and commiys。不一致意味着$ d^*_ 1（2760）$和$ d^*_ {s1}（2860）$尚未从当前的实验数据中正确解决，或者存在很大的未知异性互动，从而导致大混合角度。
In charmed $D$ and $D_s$ mesons sector, the matrix of a Hamiltonian in a quark potential model is computed in the $2^3S_1$ and $1^3D_1$ subspace. The masses of four mixed states of $2^3S_1$ and $1^3D_1$ denoted with $D^*_1(2635)$, $D^*_1(2739)$, $D^*_{s1}(2715)$ and $D^*_{s1}(2805)$ are obtained. It is an off-diagonal part of the spin-orbit tensor interaction that causes the mixing between the $2^3S_1$ and $1^3D_1$ states. The mixing angles between the $2^3S_1$ and $1^3D_1$ states are tiny. Under the mixing, a $^3P_0$ model is employed to compute the hadronic decay widths of all OZI-allowed decay channels of the four mixed states. The two light mixed states $D^*_1(2635)$ and $D^*_{s1}(2715)$ are close in mass to $D^*_J(2600)$ and $D^*_{s1}(2700)$, while the two heavy mixed states $D^*_1(2739)$ and $D^*_{s1}(2805)$ are lighter in mass than $D(2750)$ and $D^*_{s1}(2860)$. The mixing angles obtained from dynamical interaction are inconsistent with the mixing angles obtained from hadronic decay. Based on mass spectra and hadronic decay analyses, $D^*_J(2600)$, $D(2750)$, $D^*_{s1}(2700)$ and $D^*_{s1}(2860)$ are impossibly the mixed states of $2^3S_1$ and $1^3D_1$ at the small mixing angles. The inconsistence implies that $D^*_1(2760)$ and $D^*_{s1}(2860)$ have not been properly resolved from present experimental data, or there exist large unknown off-diagonal interactions that result in large mixing angles.
