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arXiv 2108.00947hep-ph
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我们能理解$T_{cc}^+$态的衰变宽度吗？

Can we understand the decay width of the $T_{cc}^+$ state?

Xi-Zhe Ling, Ming-Zhu Liu, Li-Sheng Geng, En Wang, Ju-Jun Xie

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摘要：

受LHCb合作组最近发现的双粲四夸克态$T_{cc}^+$的启发，我们在假定$T_{cc}^{+}$是一个等序$DD^{\ast}$分子的前提下，采用有效拉格朗日方法研究了$T_{cc}^{+}\to D^{+} D^{0}π^{0}/D^{0} D^{0}π^{+}$和$T_{cc}^{+}\to D^{0}D^{+}γ$的衰变宽度.我们发现，无论是$T_{cc}\to D Dπ$和$T_{cc}\to DDγ$模式的$T_{cc}$的衰减宽度的贡献，与前者占主导地位。约$Γ=63$ keV的所得总衰变宽度小于从LHCb数据的Breit-Wigner拟合获得的实验衰变宽度，$Γ=410\pm 165\pm 43^{+18}_{-38}$ keV，而接近从替代酉分析获得的数字，$Γ=48\pm 2^{+0}_{-14}$ keV，这支持$T_{cc}$的分子性质。

英文摘要：

Inspired by the recent discovery of a doubly charmed tetraquark state $T_{cc}^+$ by the LHCb Collaboration, we employ the effective Lagrangian approach to investigate the decay width of $T_{cc}^{+}\to D^{+} D^{0}π^{0}/D^{0} D^{0}π^{+}$ and $T_{cc}^{+}\to D^{0}D^{+}γ$ with the assumption that $T_{cc}^{+}$ is an isoscalar $DD^{\ast}$ molecule. We show that both the $T_{cc}\to D Dπ$ and $T_{cc}\to DDγ$ modes contribute to the decay width of $T_{cc}$, with the former being dominant. The resulting total decay width of about $Γ=63$ keV is smaller than the experimental decay width obtained from the Breit-Wigner fit of the LHCb data, $Γ=410\pm 165\pm 43^{+18}_{-38}$ keV, while close to the number obtained from the alternative unitary analysis, $Γ=48\pm 2^{+0}_{-14}$ keV, which supports the molecular nature of $T_{cc}$.

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