论文标题
$ x（3823）$的电磁衰减为$ψ_2（1^{3} d_ {2}）$状态及其径向激发态
The electromagnetic decays of $X(3823)$ as the $ψ_2(1^{3}D_{2})$ state and its radial excited states
论文作者
论文摘要
我们通过使用相对论的伯特 - 钙板法研究了$ x（3823）$的电磁（EM）衰变为$ψ_2（1^{3} d_ {2}）$。我们的结果是$γ[x（3823）\rightarrowχ_ {_ {c0}}γ] = 1.2 $ kev，$γ[x（3823）\rightarrowχ_{_ {_ {c1}}γ] = 265 $ kev，kev，kev ,, $γ[x（3823）\rightarrowχ_ {_ {c2}}γ] = 57 $ keV和$γ[x（3823）\rightarrowη_{_ c}γ] = 1.3 $ kev。比率$ {\ cal b} [x（3823）\rightarrowχ_ {_ {_ {c2}}γ]/{\ cal b} [x（3823）\rightarrowχ_ {_ {_ {_ {c1}}}}γ] = 0.22 $，同意实验数据。同样，可以预测$ψ_ {_ 2}的em衰减宽度（_ 2}（n^{3} d _ {_ 2}）$，$ n = 2,3 $，我们发现主导衰减频道是$ψ_ {_ 2}（n^{3} d _ {_ 2}）\rightarrowχ_ {_ {c1}}}}（np）γ$，其中$ n = 1,2,3 $。波函数包括不同的部分波，这意味着考虑相对论效应。我们还研究了不同部分波的贡献。
We study the electromagnetic (EM) decays of $X(3823)$ as the $ψ_2(1^{3}D_{2})$ state by using the relativistic Bethe-Salpeter method. Our results are $Γ[X(3823)\rightarrowχ_{_{c0}}γ]=1.2$ keV, $Γ[X(3823)\rightarrowχ_{_{c1}}γ]=265$ keV, $Γ[X(3823)\rightarrowχ_{_{c2}}γ]=57$ keV and $Γ[X(3823)\rightarrowη_{_c}γ]=1.3$ keV. The ratio ${\cal B}[X(3823)\rightarrowχ_{_{c2}}γ]/{\cal B}[X(3823)\rightarrowχ_{_{c1}}γ]=0.22$, agrees with the experimental data. Similarly, the EM decay widths of $ψ_{_2}(n^{3}D_{_2})$, $n=2,3$, are predicted, and we find the dominant decays channels are $ψ_{_2}(n^{3}D_{_2})\rightarrowχ_{_{c1}}(nP)γ$, where $n=1,2,3$. The wave function include different partial waves, which means the relativistic effects are considered. We also study the contributions of different partial waves.
