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Decuplet baryon masses in covariant baryon chiral perturbation theory

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arxiv 1307.1896 v2 pith:WXSENADR submitted 2013-07-07 nucl-th hep-lathep-ph

classification nucl-thhep-lathep-ph
keywords baryondecupletorderchiraldatalatticemassesperturbation
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present an analysis of the lowest-lying decuplet baryon masses in the covariant baryon chiral perturbation theory with the extended-on-mass-shell scheme up to next-to-next-to-next-to-leading order. In order to determine the $14$ low-energy constants, we perform a simultaneous fit of the $n_f=2+1$ lattice QCD data from the PACS-CS, QCDSF-UKQCD, and HSC Collaborations, taking finite-volume corrections into account self-consistently. We show that up to next-to-next-to-next-to-leading order one can achieve a good description of the lattice QCD and experimental data. Surprisingly, we note that the current lattice decuplet baryon masses can be fitted rather well by the next-to-leading order baryon chiral perturbation theory, which, however, misses the experimental data a little bit. Furthermore, we predict the pion- and strangeness-sigma terms of the decuplet baryons by use of the Feynman-Hellmann theorem.

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Cited by 4 Pith papers

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    σ-pole residues in gluon D-form factors for π, N, ρ and Δ are consistent with dilaton effective theory predictions within large uncertainties.

  2. $|\Delta I|=3/2$ non-leptonic hyperon decays in covariant baryon chiral perturbation theory

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  3. Near-threshold scattering of proton and Omega baryon and possible bound states

    hep-ph 2026-06 unverdicted novelty 3.0 of 10

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  4. Relativistic chiral nuclear forces: status and prospects

    nucl-th 2025-01 conditional novelty 2.0 of 10

    A review of the relativistic chiral nuclear force, presenting the Beihang group's own NNLO results for nucleon-nucleon scattering and promising faster convergence than the standard Weinberg approach.

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