A Dynamical Resolution of the Sigma Term Puzzle

Details A Dynamical Resolution of the Sigma Term Puzzle A Dynamical Resolution of the Sigma Term Puzzle

1993-05-26

arxiv.org/abs/hep-ph/9305320v1

Nucl.Phys. B428 (1994) 485-498

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages and 4 figures (not included), plain TeX and harvmac, DFTT 92/69 and OUTP-92-35P

Scientific paper

10.1016/0550-3213(94)90210-0

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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