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

TL;DR

This paper predicts the masses of higher excited states of $\\Xi_{c}'$ and $\\\Omega_{c}$ baryons using a relativistic flux tube model, aiding experimental searches for these undetected states.

Contribution

It introduces a relativistic flux tube model with a quark-diquark picture to predict masses of higher excited baryon states, including spin-dependent effects.

Findings

Predicted masses for 1F and 1G wave states of $\\Xi_{c}'$ and $\\\Omega_{c}$ baryons.

Mass predictions provide guidance for experimental detection of higher excited states.

Enhanced understanding of baryon spectroscopy in the charm sector.

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.