论文标题
在新标量共鸣的结构上
On the structures of new scalar resonances $T_{cs0}^{a}(2900)^{++}$ and $T_{cs0}^{a}(2900)^{0}$
论文作者
论文摘要
我们研究了新标量共鸣的属性$ t_ {cs0}^{a}（2900）^{++} $和$ t_ {cs0}^{a}（2900）^{0} $，这些}^{0} $最近由LHCB协作报告。这些状态被视为$ d_ {s}^{+}π^{+} $和$ d_ {s}^{+}π^{ - } $不变的质量分布中的$ d_ {+}π^{+} $中的共振结构。我们认为，$ t_ {cs0}^{a}（2900）^{++} $和$ t_ {cs0}^{a}^{a}（2900）^{0} $可以建模为molecules $ \ natcal {m} $ \ Mathcal {M}^{0} = d_ {s}^{\ ast+}ρ^{ - } $分别是传统矢量介子的$。分子$ \ MATHCAL {M}^{++} $的质量$ M $和当前耦合$ f $是使用两点总和规则方法计算的。总和分析是通过考虑到尺寸为$ 8 $的真空凝结来执行的。质量获得的结果，$ m =（2917 \ pm 135）〜\ mathrm {mev} $，允许我们考虑分子$ \ mathcal {m}^{++}^{++} $作为共振$ t_ {cs0}^{cs0}^{a} {a}（2900）（2900）（2900）（2900）的可能模型之一。因为第二个结构$ t_ {cs0}^{a}（2900）^{0} $是双重充电状态的isospin合作伙伴，因此它的质量应接近$ m $。
We investigate properties of the new scalar resonances $ T_{cs0}^{a}(2900)^{++}$ and $T_{cs0}^{a}(2900)^{0}$, which were recently reported by the LHCb collaboration. These states were observed as resonant structures in $D_{s}^{+}π^{+}$ and $D_{s}^{+}π^{-}$ invariant mass distributions in $B^{+}$ meson decays. We argue that $T_{cs0}^{a}(2900)^{++} $ and $T_{cs0}^{a}(2900)^{0}$ may be modeled as molecules $\mathcal{M} ^{++}=D_{s}^{\ast+}ρ^{+}$ and $\mathcal{M}^{0}=D_{s}^{\ast+}ρ^{-} $ of conventional vector mesons, respectively. The mass $m$ and current coupling $ f $ of the molecule $\mathcal{M}^{++}$ are calculated using two-point sum rule method. The sum rule analysis is performed by taking into account vacuum condensates up to dimension $8$. The obtained result for the mass, $ m=(2917 \pm 135)~\mathrm{MeV}$, permits us to consider the molecule $ \mathcal{M}^{++}$ as one of possible models of the resonance $ T_{cs0}^{a}(2900)^{++}$. Because the second structure $T_{cs0}^{a}(2900)^{0}$ is isospin partner of the doubly charged state, it should have the mass close to $m$.
