Hyperon-nucleon Scattering In A Covariant Chiral Effective Field Theory Approach

Abstract

A recently proposed covariant chiral effective field theory approach is applied to study strangeness $S=-1$ hyperon-nucleon interactions at leading order. 12 low energy constants are introduced by Lorentz invariance, which is different from the heavy baryon approach, where only five appear. The Kadyshevsky equation is employed to iterate the chiral potentials. A quite satisfactory description of the 36 hyperon-nucleon scattering data is obtained with ${\chi }^2\simeq 17$, which is comparable with the next-to-leading order heavy baryon approach. The results hint at a more efficient way to construct the chiral potentials.

arXiv comment6 pages, 3 figures. Talk given at International Nuclear Physics Conference 2016 (INPC2016), Adelaide, Australia. 11-16, September, 2016

References in corpus (12)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Strangeness S=-2 baryon-baryon interactions using chiral effective field theory
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory
• Renormalization of Singular Potentials and Power Counting
• Weinberg's approach to nucleon-nucleon scattering revisited
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Leading order relativistic hyperon-nucleon interactions in chiral effective field theory
• Predictions for the strangeness S=-3 and -4 baryon-baryon interactions in chiral effective field theory
• Strangeness $S=-1$ hyperon-nucleon scattering in covariant chiral effective field theory