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Relativistic SU(3) chiral baryon-baryon Lagrangian up to order q^2

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arxiv 1305.3427 v2 pith:VRGFESEC submitted 2013-05-15 nucl-th

classification nucl-th
keywords baryon-baryonchiralcontacteffectivelagrangianorderconjugationterms
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We construct the most general chiral effective Lagrangian for baryon-baryon contact interactions in flavor SU(3) up to order q^2 using a covariant power counting. A subset of these contact terms contributes to the baryon-baryon potential in chiral effective field theory. The Lorentz invariant effective Lagrangian is constructed to fulfill the invariance under charge conjugation, parity transformation, Hermitian conjugation and the local chiral symmetry group SU(3)_L x SU(3)_R. Goldstone bosons and external fields are included as well, thus providing additional four-baryon contact vertices involving e.g. pseudoscalar mesons and/or photons. In order to eliminate the linearly dependent terms, we use the Fierz identities, the equations of motion, and a Cayley-Hamilton relation for SU(3). As an application the baryon-baryon scattering contact potentials in low partial waves are considered.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Baryon-Baryon Interaction in the Large-$N_c$ Limit

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A large-N_c analysis of the chiral baryon-baryon potential cuts the leading-order contact couplings from fifteen to three and fixes F/D=2/3 and C/D=2.

  2. Neutron Star Properties and Femtoscopic Constraints

    nucl-th 2024-12 conditional novelty 5.0 of 10

    Hyperon interactions tuned to femtoscopic data still yield neutron star maximum masses of only 1.3-1.4 solar masses, leaving the hyperon puzzle unresolved.

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