Pion nucleon coupling constant, Goldberger-Treiman discrepancy and $\pi N$ $\sigma$ term

Miroslav Nagy; Michael D. Scadron; Gerald E. Hite

Pion nucleon coupling constant, Goldberger-Treiman discrepancy and $\pi N$ $\sigma$ term

High Energy Physics - Phenomenology 2007-05-23 v3

Authors: Miroslav Nagy , Michael D. Scadron , Gerald E. Hite

Abstract

We start by studying the Goldberger-Treiman discrepancy (GTd) $\Delta = (2.259\pm 0.591)%$ . Then we look at the $\pi N$ $\sigma$ term, with the dimensionless ratio $\sigma_N/2m_N=3.35%$ . Finally we return to predicting (via the quark model) the $\pi N$ coupling constant, with GTd $\Delta\to 0$ as $m_q\to m_N/3$ .

Keywords

Goldberger-Treiman 偏差 pion-核子耦合常数 $\pi N$ $\sigma$ 项夸克模型 GTd

Cite

@article{arxiv.hep-ph/0406009,
  title  = {Pion nucleon coupling constant, Goldberger-Treiman discrepancy and $\pi N$ $\sigma$ term},
  author = {Miroslav Nagy and Michael D. Scadron and Gerald E. Hite},
  journal= {arXiv preprint arXiv:hep-ph/0406009},
  year   = {2007}
}

Comments

5 pages, no figures, LaTeX; v2: corrected typo in eq. (6); v3: a discussion concerning chiral perturbation theory, and a co-author added

Pion nucleon coupling constant, Goldberger-Treiman discrepancy and $\pi N$ $\sigma$ term

Abstract

Keywords

Cite

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