Mixing Angle of ${\Xi }_Q-{\Xi }_Q^{\prime }$ in Heavy Quark Effective Therory

Abstract

The Heavy Quark Effective Theory provides a systematic method to estimate a mixing angle of hadron states in a heavy quark, such as the charm quark (c) and the bottom quark (b). By using this method, the mixing angle of the baryons ${\Xi }_Q-{\Xi }_Q^{\prime }$ can be estimated. It is found that the mixing angle between ${\Xi }_Q$ and ${\Xi }_Q^{\prime }$ is given by ${\theta }_b=4.51^{\circ }\pm 0.79^{\circ }$ for $Q=b$ case and ${\theta }_c=8.12^{\circ }\pm 0.80^{\circ }$ for $Q=c$ case.

Comments: 7 pages, no figures