Anomaly-induced charges in baryons

Original · EN

We show that quantum chiral anomaly of QCD in magnetic backgrounds induces a novel structure of electric charge inside baryons. To illustrate the anomaly effect, we employ the Skyrme model for baryons, with the anomaly-induced gauged Wess-Zumino term (π₀ + (multi-pion)) Eᵢ Bᵢ. Due to this term, the Skyrmions giving a local pion condensation ((π₀ + (multi-pion)) ≠ 0) necessarily become a local charge source, in the background magnetic field Bᵢ. We present detailed evaluation of the anomaly effects, and calculate the total induced charge, for various baryons in the magnetic field.