Masses of higher excited states of ${\Xi }_c^{\prime }$ 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 ${\Xi }_c^{\prime }$ 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 ${\Xi }_c^{\prime }$ 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 ${\Xi }_c^{\prime }$ and ${\Omega }_c$ baryons.

Comments: 9 pages, 1 figure, to be published in International Journal of Modern Physics A, This work is presented at $11^{th}$ international conference on new frontiers in physics (ICNFP 2022)