Isospin Mass Splittings of Baryons in Potential Models

Abstract

We discuss the isospin-breaking mass differences among baryons, with particular attention in the charm sector to the ${\Sigma }_c^{+}-{\Sigma }_c^0$, ${\Sigma }_c^{++}-{\Sigma }_c^0$, and ${\Xi }_c^{+}-{\Xi }_c^0$ splittings. Simple potential models cannot accommodate the trend of the available data on charmed baryons. More precise measurements would offer the possibility of testing how well potential models describe the non-perturbative limit of QCD.

Comments: 18 pages