Baryon masses and pion-nucleon $σ$-term to second order in the quark masses

Details Baryon masses and pion-nucleon $σ$-term to second order in the quark masses Baryon masses and pion-nucleon $σ$-term to second order in the quark masses

1995-08-23

arxiv.org/abs/hep-ph/9508354v2

Phys.Lett. B365 (1996) 285-291

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pp, LaTeX, uses elsart.sty+elsart12.sty, fig. in separate file

Scientific paper

10.1016/0370-2693(95)01286-9

We analyze the octet baryon masses and the pion--nucleon $\sigma$--term in the framework of heavy baryon chiral perturbation theory. In contrast to previous investigations, we include {\it all} terms up-to-and-including quadratic order in the light quark masses. The pertinent low--energy constants are fixed from resonance exchange. This leaves as the only free parameter the baryon mass in the chiral limit, $\krig{m}$. We find $\krig{m} = 749 \pm 125$~MeV together with $\sigma_{\pi N} (0) = 48 \pm 10$ ~MeV. We discuss various implications of these results.

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