Mixing Angle of Hadrons in QCD: A New View

TL;DR

The paper introduces a novel QCD sum rule method to calculate hadron mixing angles, applying it to heavy baryons and providing specific numerical estimates for Xi_Q and Xi_Q' mixing angles.

Contribution

A new approach within QCD sum rules expressing hadron mixing in terms of quark and gluon degrees of freedom, with detailed calculations for heavy baryons.

Findings

Calculated mixing angles: theta_b = 6.4° ± 1.8°, theta_c = 5.5° ± 1.8°

Method successfully applied to heavy cascade baryons

Provides a new perspective on hadron mixing in QCD

Abstract

A new method for calculation of the mixing angle between the hadrons within QCD sum rules is proposed. In this method, the mixing is expressed in terms of quark and gluon degrees of freedom. As an application, the detailed calculation of the mixing angle between heavy cascade baryons Xi_Q and Xi_Q', Q=c,~b is presented and it is found that the mixing angle between Xi_b (Xi_c) and Xi_b' (Xi_c') is given by theta_b = 6.4^\circ \pm 1.8 ^\circ (theta_c = 5.5^\circ \pm 1.8^\circ).