Masses of higher excited states of $\Xi_{c}'$ and $\Omega_{c}$ baryons

Abstract

Significant efforts have been made in recent years to measure the properties of charmed baryons. In this work, we study the $\Xi_{c}'$ and $\Omega_{c}$ baryons in the relativistic flux tube model with a quark-diquark picture of a baryon. The modified Regge relation between mass and angular momentum is used to predict the spin-average masses. The spin-dependent interactions are also included to compute the spin-dependent splitting. We calculate the masses of states belonging to the $1F$-wave and $1G$-wave of $\Xi_{c}'$ and $\Omega_{c}$ baryons, which are not yet detected experimentally. Our mass predictions can offer valuable insights to experimental facilities in their search to discover the higher excited states of $\Xi_{c}'$ and $\Omega_{c}$ baryons.