Chiral extrapolations and strangeness in the baryon ground states
Abstract
We review the quark-mass dependence of the baryon octet and decuplet masses as obtained from recent lattice simulations of the BMW, PACS-CS, LHPC, HSC and QCDSF-UKQCD groups. Our discussion relies on the relativistic chiral Lagrangian and large- sum rule estimates of the counter terms relevant for the baryon masses at NLO. A partial summation is implied by the use of physical baryon and meson masses in the one-loop contributions to the baryon self energies. In our analysis the physical masses are reproduced exactly by means of a suitable set of linear constraints. A quantitative and simultaneous description of all lattice results is achieved in terms of a six parameter fit, where the symmetry conserving counter term that are relevant at NLO are not yet being used. For pion masses larger than 300 MeV there appears to be an approximate linear pion-mass dependence of all octet and decuplet baryon masses. We discuss the pion- and strangeness sigma terms of the baryon octet states.
Keywords
Cite
@article{arxiv.1301.0298,
title = {Chiral extrapolations and strangeness in the baryon ground states},
author = {M. F. M. Lutz and A. Semke},
journal= {arXiv preprint arXiv:1301.0298},
year = {2013}
}
Comments
Talk at the 7th International Workshop on Chiral Dynamics, August 6 -10, 2012, Jefferson Lab. 2nd version: corrected BWM values for the strangeness sigmaterms, added more QCDSF-UKQCD points to the plot