论文标题

将$ξ_b(6100)$识别为$ p $ - 波的底部baryon of $ j^p = 3/2^ - $

Identifying the $Ξ_b(6100)$ as the $P$-wave bottom baryon of $J^P=3/2^-$

论文作者

Yang, Hui-Min, Chen, Hua-Xing, Cui, Er-Liang, Mao, Qiang

论文摘要

我们使用QCD总和规则和轻单元总和规则在重夸克有效理论的框架内研究$ξ_b(6100)$。我们的结果表明,$ξ_b(6100)$可以很好地解释为$ j^p = 3/2^ - $的$ p $ - 波底,属于$ su(3)$ su(3)$ flovic $ \ mathbf {\ mathbf {\ bar 3} _f $表示。它的合作伙伴状态为$ j^p = 1/2^ - $,标记为$ξ_b(1/2^ - )$,预计其质量和宽度为$ m_ {ξ_b(1/2^ - )= 6.08^{+0.13} {+0.13} $γ_{ξ_b(1/2^ - )} = 4^{+29} _ { - 〜4} $ 〜MEV,质量分裂$Δm= m_ = m_ {ξ_b(6100)} -M_M_ {ξ_b(1/2^ - )} = 9 \ pm3 $ 〜mev。我们建议在$ξ_c({1/2}^ - )\到ξ_b^{\ prime}π$衰减通道中搜索它。 Our results also suggest that the $Λ_b(5912)$ and $Λ_b(5920)$ are their partner states with $J^P=1/2^-$ and $3/2^-$ respectively, and moreover, the $Λ_c(2595)$, $Λ_c(2625)$, $Ξ_c(2790)$, and $Ξ_c(2815)$ are their charmed partner states.

We study the $Ξ_b(6100)$ using the methods of QCD sum rules and light-cone sum rules within the framework of heavy quark effective theory. Our results suggest that the $Ξ_b(6100)$ can be well interpreted as the $P$-wave bottom baryon of $J^P=3/2^-$, belonging to the $SU(3)$ flavor $\mathbf{\bar 3}_F$ representation. It has a partner state of $J^P=1/2^-$, labelled as $Ξ_b(1/2^-)$, whose mass and width are predicted to be $m_{Ξ_b(1/2^-)}=6.08^{+0.13}_{-0.11}$~GeV and $Γ_{Ξ_b(1/2^-)}=4^{+29}_{-~4}$~MeV, with the mass splitting $ΔM=m_{Ξ_b(6100)}-m_{Ξ_b(1/2^-)}=9\pm3$~MeV. We propose to search for it in the $Ξ_c({1/2}^-)\to Ξ_b^{\prime}π$ decay channel. Our results also suggest that the $Λ_b(5912)$ and $Λ_b(5920)$ are their partner states with $J^P=1/2^-$ and $3/2^-$ respectively, and moreover, the $Λ_c(2595)$, $Λ_c(2625)$, $Ξ_c(2790)$, and $Ξ_c(2815)$ are their charmed partner states.

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