论文标题
最近观察到$ p_c $作为分子状态和$ p_c（4457）$的可能混合物
Recently observed $P_c$ as molecular states and possible mixture of $P_c(4457)$
论文作者
论文摘要
最近观察到的$ p_c $状态的光谱表现出与$σ_c\ bar {d}^{（*）} $ thresholds的强烈链接。尽管有成功的分子解释，但我们仍然向前迈进，怀疑是否存在更精细的结构。利用尊重夸克对称性和手性对称性的Effecitve Lagrangians以及瞬时的Bethe-Salpeter方程，我们研究了$σ_C\ bar {d}^{（*）} $互动和三个$ P_C $ state。我们确认$ p_c（4312）$和$ p_c（4440）$是$σ_C\ bar {d} $和$σ_c\ bar {d}^{*} $ molecules with-spin-$ \ frac12 $的好候选者。与其他分子计算不同，我们的结果表明$ p_c（4457）$信号可能是旋转 - $ \ frac32 $ and spin的混合物 - $ \ frac12 $ $ $ $ $σ_c\ bar {d}^{**} $ molecules，后者似乎是$ p_c（44444444440）的激发。因此，我们得出的结论是，面对三个LHCB $ P_C $信号，可能不是三个，而是四个分子状态。
Recently observed spectrum of $P_c$ states exhibits a strong link to $Σ_c \bar{D}^{(*)}$ thresholds. In spite of successful molecular interpretations, we still push forward to wonder whether there exist finer structures. Utilizing the effecitve lagrangians respecting heavy quark symmetry and chiral symmetry, as well as instantaneous Bethe-Salpeter equations, we investigate the $Σ_c \bar{D}^{(*)}$ interactions and three $P_c$ states. We confirm that $P_c(4312)$ and $P_c(4440)$ are good candidates of $Σ_c \bar{D}$ and $Σ_c \bar{D}^{*}$ molecules with spin-$\frac12$, respectively. Unlike other molecular calculations, our results indicate $P_c(4457)$ signal might be a mixture of spin-$\frac32$ and spin-$\frac12$ $Σ_c \bar{D}^{*}$ molecules, where the latter one appears to be an excitation of $P_c(4440)$. Therefore we conclude that, confronting three LHCb $P_c$ signals, there may exist not three, but four molecular states.
