2$P$-wave charmed baryons from QCD sum rules

Abstract

We conduct an investigation on the $1P$- and $2P$-wave charmed baryons 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 ${\Lambda }_c(2910{)}^{+}$, ${\Lambda }_c(2940{)}^{+}$, and ${\Xi }_c(3123{)}^{+}$ can be well interpreted as the $2P$-wave charmed baryons of $J^P=1/2^{-}$ and $3/2^{-}$, belonging to the $SU(3)$ flavor ${\bar{3}}_F$ representation. Moreover, the ${\Xi }_c(3123{)}^{+}$ possesses a partner state characterized by $J^P=1/2^{-}$, denoted as ${\Xi }_c(1/2^{-},2P)$. Our analysis predicts its mass and width to be $m_{{\Xi }_c(1/2^{-},2P)}-m_{{\Xi }_c(3123{)}^{+}}=-18\pm 7$MeV and ${\Gamma }_{{\Xi }_c(2P,1/2^{-})}=31_{-27}^{+170}$MeV, with $m_{{\Xi }_c(3123{)}^{+}}=3122.9\pm 1.3$MeV. We propose to search for it in the ${\Xi }_c(1/2^{-},2P)\to {\Sigma }_{c}K$ decay channel.

arXiv comment20 pages, 7 figures,5 tables, suggestions and comments welcome. arXiv admin note: text overlap with arXiv:2205.07224

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