Large- operator analysis of hyperon-nucleon interactions in SU(3) chiral effective field theory
arXiv:1710.10068 · doi:10.1016/j.physletb.2018.12.044
Abstract
We study octet-octet baryon () contact interactions in SU(3) chiral effective field theory by using large- operator analysis. Applying the expansion of the Hartee Hamiltonian, we find 15 operators in the octet-octet baryon potential where 4 operators for leading order (LO) and 11 for and net-to-next-to-leading order (NNLO). The large- operator analysis of octet-octet baryon matrix elements reduces the number of free parameters from 15 to 6 at LO of the expansion. The application of large- sum rules to the Jülich model of hyperon-nucleon (YN) interactions at the LO of the chiral expansion reduces the model parameters to 3 from 5 at the LO of expansion. We find that the values of LECs fitted to YN scattering data in Ref. \cite{Li:2016paq} in the relativistic covariant ChEFT (EG) approach is more consistent with the predictions of large- than in the heavy baryon (HB) formalism approach.
12 pages, 2 tables
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