1111.0238 (A. Semke et al.)

On the quark-mass dependence of the baryon ground-state masses    [PDF]

A. Semke, M. F. M. Lutz

We perform a chiral extrapolation of the baryon octet and decuplet masses in
a relativistic formulation of chiral perturbation theory. A partial summation
is assumed as implied by the use of physical baryon and meson masses in the
one-loop diagrams. Upon a chiral expansion, our results are consistent with
strict chiral perturbation theory at the next-to-next-to-next-to-leading order.
All counter terms are correlated by a large-$N_c$ operator analysis. Our
results are confronted with recent results of unquenched three-flavor lattice
simulations. We adjust the parameter set to the pion-mass dependence of the
nucleon and omega masses as computed by the BMW Collaboration and predict the
pion-mass dependence of the remaining baryon octet and decuplet states. The
current lattice simulations can be described accurately and smoothly up to pion
masses of about 600 MeV. In particular, we recover the recent results of HSC
without any further adjustments.

View original: http://arxiv.org/abs/1111.0238