Mass spectra and Regge trajectories of $\Lambda_{c}^{+}$, $\Sigma_{c}^{0}$, $\Xi_{c}^{0}$ and $\Omega_{c}^{0}$ Baryons

TL;DR

This paper calculates the mass spectra, Regge trajectories, and other properties of singly charmed baryons using a hypercentral quark model, providing theoretical predictions that align well with existing data.

Contribution

It introduces a comprehensive calculation of baryon spectra, Regge trajectories, and properties using the hypercentral constituent quark model with Coulomb plus linear potential.

Findings

Mass spectra agree with experimental and lattice QCD data.

Regge trajectories are constructed with specific slopes and intercepts.

Magnetic moments and decay widths are successfully predicted.

Abstract

We calculate the mass spectra of the singly charmed baryons ($\Lambda_{c}^{+}$, $\Sigma_{c}^{0}$, $\Xi_{c}^{0}$ and $\Omega_{c}^{0}$) using Hypercentral constituent quark model(hCQM). The hyper color coloumb plus linear potential is used to calculate the masses of positive(upto $J^{p}=\frac{7}{2}^{+}$) and negative parity(upto $J^{p}=\frac{9}{2}^{-}$) excited states. The spin-spin, spin-orbital and tensor interaction terms are also incorporated for mass spectra. We have compared our results with other theoretical predictions and Lattice QCD for each baryons. Moreover, the known experimental results are also reasonably closed to our predicted masses. By using the radial and orbital excitation, we construct Regge trajectories for the baryons in (n,$M^{2}$) plane and find their slopes and intercepts. The other properties like, magnetic moments, radiative transitions and radiative decay widths of these baryons are also calculated successfully.