Xi c and baryon spectroscopy.

Abstract

Baryon masses are computed in a semirelativistic quark model. We determine quark distances in baryons on the basis of solutions of three-body harmonic oscillators and modifying them by forces due to the Fermi-Breit terms. We reproduce all the well-known s-wave baryon masses within \ifmmode\pm\else\textpm\fi{}9-MeV accuracy. We conclude that the csu state of 2465.4\ifmmode\pm\else\textpm\fi{}4.0\ifmmode\pm\else\textpm\fi{}1.5 MeV is ${\ensuremath{\Xi}}_{c}^{\mathcal{'}+}$ with the antisymmetric su flavor state and the csd state of 2471\ifmmode\pm\else\textpm\fi{}3\ifmmode\pm\else\textpm\fi{}4 MeV is ${\ensuremath{\Xi}}_{c}^{\mathcal{'}0}$ with the antisymmetric sd flavor state. To confirm these, it is important to find another csu baryon ${\ensuremath{\Xi}}_{c}^{+}$ near 2580 MeV and another csd baryon ${\ensuremath{\Xi}}_{c}^{0}$ near 2579 MeV, which may decay to ${\ensuremath{\Xi}}_{c}^{\mathcal{'}+}$+\ensuremath{\gamma} and ${\ensuremath{\Xi}}_{c}^{\mathcal{'}0}$+\ensuremath{\gamma}, respectively. We also give other charmed baryon masses.