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arxiv: 1109.0020 · v1 · pith:2NRJQRIRnew · submitted 2011-08-31 · ✦ hep-ph · hep-th· nucl-th

Anomaly-induced charges in baryons

classification ✦ hep-ph hep-thnucl-th
keywords baryonsanomalychargemagneticanomaly-inducedfieldlocalmulti-pion
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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 (\pi_0 + (multi-pion)) E_i B_i. Due to this term, the Skyrmions giving a local pion condensation ((\pi_0 + (multi-pion)) \neq 0) necessarily become a local charge source, in the background magnetic field B_i. We present detailed evaluation of the anomaly effects, and calculate the total induced charge, for various baryons in the magnetic field.

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