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arxiv: hep-ph/9305320 · v1 · submitted 1993-05-26 · ✦ hep-ph

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A Dynamical Resolution of the Sigma Term Puzzle

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classification ✦ hep-ph
keywords baryondiscrepancydynamicalpion-nucleonpuzzleresolutionrulesigma
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We propose a resolution of the puzzle posed by the discrepancy between the pion-nucleon sigma term inferred from pion-nucleon scattering, and that deduced from baryon mass splittings using the Zweig rule. We show that there is a significant hypercharge-dependent dynamical contribution to baryon masses, not hitherto included in the analysis, which may be estimated using the scale Ward identity, and computed by solution of the Schwinger-Dyson equation for the quark self-energy. We find that the discrepancy is completely resolved without the need for any Zweig rule violation.

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