Mixing Angle of $\varXi_Q-\varXi_Q'$ in Heavy Quark Effective Therory

TL;DR

This paper uses Heavy Quark Effective Theory to estimate the mixing angles of certain heavy baryons containing charm and bottom quarks, providing specific numerical values with uncertainties.

Contribution

It applies Heavy Quark Effective Theory to calculate the mixing angles of $ ext{Xi}_Q$ and $ ext{Xi}_Q'$ baryons, offering new quantitative estimates.

Findings

Mixing angle for bottom baryons: 4.51° ± 0.79°

Mixing angle for charm baryons: 8.12° ± 0.80°

Provides a systematic estimation method for heavy baryon mixing angles.

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 $\varXi_Q-\varXi_Q'$ can be estimated. It is found that the mixing angle between $\varXi_Q$ and $\varXi_Q'$ 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.