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Leading order relativistic hyperon-nucleon interactions in chiral effective field theory
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abstract
We apply a recently proposed covariant power counting in nucleon-nucleon interactions to study strangeness $S=-1$ $\Lambda N-\Sigma N$ interactions in chiral effective field theory. At leading order, Lorentz invariance introduces 12 low energy constants, in contrast to the heavy baryon approach, where only five appear. The Kadyshevsky equation is adopted to resum the potential in order to account for the non-perturbative nature of hyperon-nucleon interactions. A fit to the $36$ hyperon-nucleon scattering data points yields $\chi^2\simeq 16$, which is comparable with the sophisticated phenomenological models and the next-to-leading order heavy baryon approach. However, one cannot achieve a simultaneous description of the nucleon-nucleon phase shifts and strangeness $S=-1$ hyperon-nucleon scattering data at leading order.
Forward citations
Cited by 3 Pith papers
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In-medium $\Lambda N$ interactions with leading order covariant chiral hyperon/nucleon-nucleon forces
A relativistic Brueckner-Hartree-Fock calculation with leading-order covariant chiral hyperon-nucleon and nucleon-nucleon forces reproduces the empirical Lambda single-particle potential in nuclear matter.
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Perspectives for hyperon and hypernuclei physics
Hypernuclei are reviewed as key probes of the strong interaction, with upcoming experiments and higher-order theory expected to resolve the hypertriton binding energy and charge symmetry puzzles.
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Relativistic chiral nuclear forces: status and prospects
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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