Lambda-nucleon scattering in baryon chiral perturbation theory

Abstract

We calculate the lambda-nucleon scattering phase shifts and mixing angles by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. Scattering amplitudes are obtained by solving the corresponding coupled-channel integral equations that have a milder ultraviolet behavior compared to their non-relativistic analogs. This allows us to consider the removed cutoff limit in our leading-order calculations also in the ${}^3{P}_0$ and ${}^3{P}_1$ partial waves. We find that, in the framework we are using, at least some part of the higher-order contributions to the baryon-baryon potential in these channels needs to be treated nonperturbatively and demonstrate how this can be achieved in a way consistent with quantum field theoretical renormalization for the leading contact interactions. We compare our results with the ones of the non-relativistic approach and lattice QCD phase shifts obtained for non-physical pion masses.

13 pages, 5 figures, 3 tables. arXiv admin note: text overlap with arXiv:1905.02116

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Cited by in corpus (13)

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• Hyperon-nucleon interaction in chiral effective field theory at next-to-next-to-leading order
• New effective interactions for hypernuclei in density dependent relativistic mean field model
• Nuclear physics uncertainties in light hypernuclei
• Renormalizability of leading order covariant chiral nucleon-nucleon interaction
• The interplay of single-particle and collective motions in the low-lying states of ${}_{\Lambda }^{21}$Ne with quadrupole-octupole correlations
• Quenched Λ spin-orbit splitting by relativistic Fock diagram in single-Λ hypernuclei
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• The $\Lambda (1405)$ in resummed chiral effective field theory
• Impact of $\Xi$-Hypernuclear Constraints on Relativistic Equation of State and Properties of Hyperon Stars
• $K^{-}d\to \pi \Lambda N$ reaction for studying charge symmetry breaking in the $\Lambda N$ interaction
• Nucleon-nucleon scattering up to next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: low phases and the deuteron
• $K^{-}d\to \pi \Lambda N$ reaction with in-flight kaons for studying the $\Lambda N$ interaction