Baryon masses, chiral extrapolations, and all that

Abstract

We calculate the baryon octet masses to fourth order in chiral perturbation theory employing dimensional and cut-off regularization. We analyze the pion and kaon mass dependences of the baryon masses based on the MILC data. We show that chiral perturbation theory gives stable chiral extrapolation functions for pion (kaon) masses below 550 (600) MeV. The pion-nucleon sigma term in SU(3) is also investigated, we find σ_{πN} (0) = 50.7 - 53.7 MeV.

20 pp, 7 figs (13 eps files); more lattice data included, discussion sharpened, references added, main conclusions unchanged

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Cited by in corpus (36)

• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Electromagnetic excitation of the Delta(1232)-resonance
• The Scalar Strange Content of the Nucleon from Lattice QCD
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Meson-baryon reactions with strangeness -1 within a chiral framework
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• Surprises in threshold antikaon-nucleon physics
• Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• The low-lying baryon spectrum with two dynamical twisted mass fermions
• Varying the light quark mass: impact on the nuclear force and Big Bang nucleosynthesis
• Meson-Baryon Effective Chiral Lagrangians to O(q^3)
• CP-odd Phase Correlations and Electric Dipole Moments
• Sigma Terms of Light-Quark Hadrons
• The nucleon axial-vector coupling beyond one loop
• Dependence of the triple-alpha process on the fundamental constants of nature
• The critical surface of the SU(3)_L x SU(3)_R chiral quark model at non-zero baryon density
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Chiral Extrapolations and the Covariant Small Scale Expansion
• Exotic bound states of two baryons in light of chiral effective field theory
• Hyperons in Two Flavor Chiral Perturbation Theory
• On the quark-mass dependence of the baryon ground-state masses
• Schwinger functions and light-quark bound states, and sigma terms
• Decuplet baryon masses in covariant baryon chiral perturbation theory
• Virtual decuplet effects on octet baryon masses in covariant baryon chiral perturbation theory
• 1/N_c corrections to the magnetic susceptibility of the QCD vacuum
• $\Lambda (1520)$ and $\Sigma (1385)$ in the nuclear medium
• Chiral extrapolation of baryon mass ratios
• The chiral condensate in neutron matter
• Chiral corrections to the vector and axial couplings of quarks and baryons
• Dependence of nucleon properties on pseudoscalar meson masses
• Flavor decomposition of the pion-nucleon $\sigma$-term
• Chiral Analysis of the Nucleon Mass and Sigma Commutator
• Quark mass dependence of the ground-state octet baryons in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory