Strong Decays and Spin-Parity Assignments of Low-Lying Singly Charmed Baryons

TL;DR

This paper uses heavy hadron chiral perturbation theory combined with the relativistic flux tube model to analyze strong decays and assign spin-parity to low-lying singly charmed baryons, confirming some as 1P-wave states.

Contribution

It introduces a combined approach of HHChPT and RFT model to accurately describe decay widths and determine spin-parity of singly charmed baryons.

Findings

Successfully reproduces decay widths of established baryons.

Identifies $ ext{Σ}_c(2800)$ and $ ext{Ξ}_c(2939)$ as 1P-wave states with $J^P=3/2^-$.

Provides spin-parity assignments consistent with decay and mass spectra analysis.

Abstract

In this study, we analyze the strong decays of singly charmed baryons into another singly charmed baryon and a light pseudo scalar meson by means of heavy hadron chiral perturbation theory (HHChPT) which combines heavy quark symmetry with chiral symmetry. HHChPT worked excellently for describing the strong decays of $1S$-wave charmed baryons. The strong decay widths of well-established singly charmed baryons are well reproduced. Further, the strong decay width of $1P$ states are calculated in this approach by using the calculated masses in the relativistic flux tube (RFT) model. By analysing the mass spectra from the RFT model with strong decays in HHChPT, we investigate the spin-parity assignments. We identify $\Sigma_{c}(2800)$ and $\Xi_{c}(2939)$ as $1P$-wave states having $J^{P}=\frac{3}{2}^{-}$.