论文标题
$ d $ - 波激发$ cs \ bar {c} \ bar {s} $ tetraquark状态$ j^{pc} = 1^{++} $和$ 1^{+ - } $
$D$-wave excited $cs\bar{c}\bar{s}$ tetraquark states with $J^{PC}=1^{++}$ and $1^{+-}$
论文作者
论文摘要
我们研究d-wave激发$ cs \ bar {c} \ bar {s} $ tetraquark状态的质谱$ \ mathbf {6} _ {cs} \ otimes \ bar {\ mathbf {6}} _ {\ bar {c} \ bar {s}}} $和反对称$ \ bar {\ Mathbf {3}} _ {cs} \ otimes \ Mathbf {3} _ {\ bar {c} \ bar {s}} $ color configurations通过使用qcd sum Rule方法。我们构建了$ cs \ bar {c} \ bar {s} $ tetraquark interpolating courtrents of $ cs \ bar {c} $（l_λ，l_ρ\ {l_ {ρ_1}，l_ {ρ_2} \}）=（2,0 \ {0,0,0 \}），（1,1 \ {1,0 \} ），（1,1 \ {0,1 \}），（0,2 \ {1,1 \}），（0,2 \ {2,0 \}），（0,2 \ {0,2 \}）$。我们的结果支持将最近观察到的$ x（4685）$共振解释为d-wave $ cs \ bar {c} \ bar {s} $ tetraquark state，带有$ j^{pc} = 1^{++} $ in $（2,0,0,0,0 \ \}）$（0,0,0 \ \}）激发结构不能在理论错误中详尽排除。 Moreover, our results provide a mass relation $6_{ρρ}<3_{λλ}<3_{λρ}<3_{ρρ}$ and $6_{ρρ}<3_{λλ}<6_{λλ}<3_{ρρ}$ for the positive and negative $\mathbb{C}$-parity D-wave $ cs \ bar {c} \ bar {s} $ tetraquarks。我们建议搜索这些可能的D波$ cs \ bar {c} \ bar {s} $ tetraquarks在两个隐藏的链接通道中$ j/ψϕ $，$η_cccart$和open-charm频道和诸如$ d_s \ bar {d} d_s^$ d_ $ d_ $ d_ $ and-s1 在。
We study the mass spectra of D-wave excited $cs\bar{c}\bar{s}$ tetraquark states with $J^{PC}=1^{++}$ and $1^{+-}$ in both symmetric $\mathbf{6}_{cs}\otimes\bar{\mathbf{6}}_{\bar{c}\bar{s}}$ and antisymmetric $\bar{\mathbf{3}}_{cs}\otimes\mathbf{3}_{\bar{c}\bar{s}}$ color configurations by using the QCD sum rule method. We construct the D-wave diquark-antidiquark type of $cs\bar{c}\bar{s}$ tetraquark interpolating currents in various excitation structures with $(L_λ,L_ρ\{l_{ρ_1},l_{ρ_2}\})=(2,0\{0,0\}),(1,1\{1,0\}),(1,1\{0,1\}),(0,2\{1,1\}),(0,2\{2,0\}),(0,2\{0,2\})$. Our results support to interpret the recently observed $X(4685)$ resonance as a D-wave $cs\bar{c}\bar{s}$ tetraquark state with $J^{PC}=1^{++}$ in the $(2,0\{0,0\})$ or $(0,2\{2,0\})$ excitation mode, although some other possible excitation structures cannot be excluded exhaustively within theoretical errors. Moreover, our results provide a mass relation $6_{ρρ}<3_{λλ}<3_{λρ}<3_{ρρ}$ and $6_{ρρ}<3_{λλ}<6_{λλ}<3_{ρρ}$ for the positive and negative $\mathbb{C}$-parity D-wave $cs\bar{c}\bar{s}$ tetraquarks, respectively. We suggest searching for these possible D-wave $cs\bar{c}\bar{s}$ tetraquarks in both the hidden-charm channels $J/ψϕ$, $η_cϕ$ and open-charm channels such as $D_s\bar{D}_s^*$, $D_{s}\bar{D}_{s1}^*$ and so on.
