Virtual decuplet effects on octet baryon masses in covariant baryon chiral perturbation theory

Abstract

We extend a previous analysis of the lowest-lying octet baryon masses in covariant baryon chiral perturbation theory (ChPT) by explicitly taking into account the contribution of the virtual decuplet baryons. Up to next-to-next-to-next-to-leading order (N${}^3$LO), the effects of these heavier degrees of freedom are systematically studied. Their effects on the light-quark mass dependence of the octet baryon masses are shown to be relatively small and can be absorbed by the available low-energy constants up to N${}^3$LO. Nevertheless, a better description of the finite-volume corrections of the lattice QCD data can be achieved, particularly those with small $M_{\varphi }L$ ($<4$), which is demonstrated by a careful study of the NPLQCD and QCDSF-UKQCD small-volume data. Finally, we show that the predicted pion- and strangeness-baryon sigma terms are only slightly changed by the inclusion of the virtual decuplet baryons.

22 pages, 6 figures

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Cited by in corpus (17)

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• Octet-baryon axial-vector charges and SU(3)-breaking effects in the semileptonic hyperon decays
• Scalar strangeness content of the nucleon and baryon sigma terms
• On finite volume effects in the chiral extrapolation of baryon masses
• On the convergence of the chiral expansion for the baryon ground-state masses
• Pion-nucleon sigma term revisited in covariant baryon chiral perturbation theory
• Decuplet baryon masses in covariant baryon chiral perturbation theory
• Intrinsic charm content of the nucleon and charmness-nucleon sigma term
• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• Meson-baryon scattering up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory
• Axial-vector form factors of the baryon octet and chiral symmetry
• Consistency between SU(3) and SU(2) chiral perturbation theory for the nucleon mass
• Baryon chiral perturbation theory with Wilson fermions up to $\mathcal{O}(a^2)$ and discretization effects of latest $n_f=2+1$ LQCD octet baryon masses
• Threshold pion electro- and photoproduction off nucleons in covariant chiral perturbation theory
• Chiral Lagrangians with decuplet baryons to one loop
• Applications of baryon chiral perturbation theory. A topical example: The nucleon sigma terms
• Lowest-lying octet baryon masses in covariant baryon chiral perturbation theory