论文标题
三体分子$ \ bar {d} \ bar {d}^{\ ast}σ_{c} $ - 了解$ t_ {cc} $，$ p_ {c}（c}（4312）$，$ p_
Three-body molecules $\bar{D}\bar{D}^{\ast}Σ_{c}$- understanding the nature of $T_{cc}$, $P_{c}(4312)$, $P_{c}(4440)$ and $P_{c}(4457)$
论文作者
论文摘要
$ p_ {c}（4312）$，$ p_ {c}（4440）$和$ p_ {c}（4457）$的性质，$ p_ {c}（4312）$，$ p_ {c}（4440）$，尽管lhcb的合作在2019年发现，但仍处于辩论之中成为最受欢迎的。在这项工作中，通过将$ \ bar {d} $ meson添加到$ \ bar {d}^{\ ast}σ_{c} $ pair中，我们研究了三体分子$ \ bar {d} d} \ bar {d} \ bar {d}^^{d}的质量和衰减宽度; $ \ bar {d} \ bar {d}^{\ ast}σ_{c} $分子，存在$ \ bar {d}^{（\ ast）}σ_{c} $ \ bar {d}^{（\ ast）} = {后者可以用LHCB合作最近发现的双重迷人的Tetraquark State $ t_ {cc} $确定。基于$ p_ {c}（4312）$的分子性质，$ p_ {c}（4440）$，$ p_ {c}（4457）$和$ t_ {cc} $，我们的结果表明，存在两个三体的状态$ \\ bar {d}}} $ i（j^{p}）= 1（1/2^{+}）$和$ i（j^{p}）= 1（3/2^{+}）$，以及绑定的能量$ 37.24 $ MEV和$ 29.63 $ MEV $ 29.63 $ MEV下方$ \ BAR {d} d} \ bar {d} \ bar {d d} d}^d}^aST}此外，我们发现这两个三体分子的质量分裂与$ p_ {c}（c}（4440）$和$ p_ {c}（4457）$的质量分裂相关，该$提供了一种非平凡的方式来揭示这些状态的分子性质。两个$ \ bar {d} \ bar {d}^{\ ast}σ_{我们建议对$ \ bar {d} \ bar {d}^{\ ast}σ_{c} $ molecules进行实验搜索。
The nature of the three pentaquark states, $P_{c}(4312)$, $P_{c}(4440)$ and $P_{c}(4457)$, discovered by the LHCb Collaboration in 2019, is still under debate, although the $\bar{D}^{(\ast)}Σ_{c}$ molecular interpretation seems to be the most popular. In this work, by adding a $\bar{D}$ meson into the $\bar{D}^{\ast}Σ_{c}$ pair, we investigate the mass and decay width of the three-body molecules $\bar{D}\bar{D}^{\ast}Σ_{c}$ and explore the correlation between the existence of the $\bar{D}\bar{D}^{\ast}Σ_{c}$ molecules with the existence of $\bar{D}^{(\ast)}Σ_{c}$ and $\bar{D}^{\ast}\bar{D}$ two-body molecules. The latter can be identified with the doubly charmed tetraquark state $T_{cc}$ recently discovered by the LHCb Collaboration. Based on the molecular nature of $P_{c}(4312)$, $P_{c}(4440)$, $P_{c}(4457)$, and $T_{cc}$, our results indicate that there exist two three-body bound states of $\bar{D}\bar{D}^{\ast}Σ_{c}$ with $I(J^{P})=1(1/2^{+})$ and $I(J^{P})=1(3/2^{+})$, and binding energies $37.24$ MeV and $29.63$ MeV below the $\bar{D}\bar{D}^{\ast}Σ_{c}$ mass threshold. In addition, we find that the mass splitting of these two three-body molecules are correlated to the mass splitting of $P_{c}(4440)$ and $P_{c}(4457)$, which offers a non-trivial way to reveal the molecular nature of these states. The partial widths of two $\bar{D}\bar{D}^{\ast}Σ_{c}$ molecules decaying into $J/ψp \bar{D}$ and $J/ψp \bar{D}^{\ast}$ are found to be several MeV. We recommend the experimental searches for the $\bar{D}\bar{D}^{\ast}Σ_{c}$ molecules in the $J/ψp \bar{D}$ and $J/ψp \bar{D}^{\ast}$ invariant mass distributions.
