Spectroscopic properties of $\Delta$ Baryons

The resonance state of the \begin{document}$\Delta$\end{document} baryon, which exists in four isospin ( \begin{document}$I= {3}/{2}$\end{document} ) states, has been studied using the hypercentral constituent quark model (hCQM) with a simple linear potential with added first order correction. The calculated data ranges for 1S-5S, 1P-5P, 1D-4D and 1F-2F are given, with possible spin-parity assignments for all the states. The magnetic moments have also been obtained for all four configurations. The \begin{document}$N\pi$\end{document} decay channel width has been calculated for a few states. The linear nature of the data has been verified through Regge trajectories.