Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory

Abstract

We study finite-volume effects on the masses of the ground-state octet baryons using covariant baryon chiral perturbation theory (ChPT) up to next-to-leading order by analyzing the latest $n_f=2+1$ lattice Quantum ChromoDynamics (LQCD) results from the NPLQCD collaboration. Contributions of virtual decuplet baryons are taken into account using the "consistent" coupling scheme. We compare our results with those obtained from heavy baryon ChPT and show that, although both approaches can describe well the lattice data, the underlying physics is different: In HBChPT, virtual decuplet baryons play a more important role than they do in covariant ChPT. This is because the virtual octet baryon contributions to finite-volume corrections are larger in covariant ChPT than in HBChPT, while the contributions of intermediate decuplet baryons are smaller, because of relativistic effects. We observe that for the octet baryon masses, at fixed $m_{\pi }L$ ($\gg 1$) finite-volume corrections decrease as $m_{\pi }$ approaches its physical value, provided that the strange quark mass is at or close to its physical value, as in most LQCD setups.

15 pages, 5 figures

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• Baryon electric dipole moments from strong CP violation
• Recent developments in SU(3) covariant baryon chiral perturbation theory
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• Leading order relativistic hyperon-nucleon interactions in chiral effective field theory
• Strangeness in the baryon ground states
• On the quark-mass dependence of the baryon ground-state masses
• Masses and sigma terms of doubly charmed baryons up to $\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Pion-nucleon sigma term revisited in covariant baryon chiral perturbation theory
• Strangeness $S=-1$ hyperon-nucleon scattering in covariant chiral effective field theory
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• Decuplet baryon masses in covariant baryon chiral perturbation theory
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• Casimir effect for nucleon parity doublets
• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$
• Leading order mesonic and baryonic SU(3) low energy constants from $N_f=3$ lattice QCD
• 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
• Chiral extrapolation and finite-volume dependence of the hyperon vector couplings
• Octet and decuplet baryon $\sigma$-terms and mass decompositions
• Quark mass dependence of the ground-state octet baryons in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• Chiral extrapolations and strangeness in the baryon ground states