A Dynamical Resolution of the Sigma Term Puzzle
High Energy Physics - Phenomenology
2009-10-22 v1
Abstract
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.
Cite
@article{arxiv.hep-ph/9305320,
title = {A Dynamical Resolution of the Sigma Term Puzzle},
author = {Richard D. Ball and Stefano Forte and Jason Tigg},
journal= {arXiv preprint arXiv:hep-ph/9305320},
year = {2009}
}
Comments
14 pages and 4 figures (not included), plain TeX and harvmac, DFTT 92/69 and OUTP-92-35P