Single Heavy Flavour Baryons using Coulomb plus Power law interquark Potential

TL;DR

This paper models single heavy flavor baryons using a non-relativistic potential with Coulomb and power-law confinement, calculating masses and magnetic moments that align with experimental data and highlighting the importance of hyperfine interactions.

Contribution

It introduces a potential model combining Coulomb and power-law confinement to compute baryon properties, emphasizing the role of hyperfine interactions in hadron spectroscopy.

Findings

Masses and magnetic moments agree with experimental data.

An additional attractive interaction of -200 MeV is needed for antisymmetric states.

Hyperfine interaction parameters are crucial in hadron spectroscopy.

Abstract

Properties of single heavy flavor baryons in a non relativistic potential model with colour coulomb plus power law confinement potential have been studied. The ground state masses of single heavy baryons and the mass difference between the ($J^{P}={3/2}^{+}$ and $J^{P}={1/2}^{+}$) states are computed using a spin dependent two body potential. Using the spin-flavour structure of the constituting quarks and by defining an effective confined mass of the constituent quarks within the baryons, the magnetic moments are computed. The masses and magnetic moments of the single heavy baryons are found to be in accordance with the existing experimental values and with other theoretical predictions. It is found that an additional attractive interaction of the order of -200 Me$V$ is required for the antisymmetric states of $\Lambda_{Q}$ (Q$\in c,b)$. It is also found that the spin hyperfine interaction parameters play decisive role in hadron spectroscopy.