Peripheral nucleon-nucleon scattering at next-to-next-to-leading order in SU(3) heavy baryon chiral perturbation theory

Abstract

We calculate the complete $T$ matrices of the elastic nucleon-nucleon scattering up to third order in SU(3) heavy baryon chiral perturbation theory. The phase shifts with orbital angular momentum $L\ge 2$ and the mixing angles with $J\ge 2$ are evaluated by using low-energy constants that were extracted from the meson-baryon analysis. It turns out that our prediction is consistent with the empirical phase shifts and mixing angles data, and also the results from SU(2) heavy baryon chiral perturbation theory. The errors from the low-energy constants are analyzed in detail. Our calculation provides reliable evidence that the nucleon-nucleon interaction calculated in SU(3) heavy baryon chiral perturbation theory leads to reasonable predictions.

arXiv comment18 pages,6 figures

References in corpus (50)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Chiral effective field theory and nuclear forces
• Construction of high-quality Nucleon-Nucleon potential models
• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Chiral expansion of baryon masses and $\sigma$-terms
• Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
• Accurate Nucleon-Nucleon Potential Based upon Chiral Perturbation Theory
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Measurement of the Weak Axial-Vector Coupling Constant in the Decay of Free Neutrons Using a Pulsed Cold Neutron Beam
• Matching Heavy Particle Approach to Relativistic Theory
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
• Coarse grained Potential analysis of neutron-proton and proton-proton scattering below pion production threshold
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Hyperon-nucleon interaction within chiral effective field theory revisited
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• Axial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances
• Meson-Baryon Effective Chiral Lagrangians to O(q^3)
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• Baryon axial currents
• Partial Wave Analysis of Nucleon-Nucleon Scattering below pion production threshold
• Leading order relativistic chiral nucleon-nucleon interaction
• On the chiral effective meson-baryon Lagrangian at third order
• Coarse grained NN potential with Chiral Two Pion Exchange
• Chiral corrections to kaon-nucleon scattering lengths
• Two-pion exchange nucleon-nucleon potential:O(q^4) relativistic chiral expansion
• Perturbative $NN$ scattering in chiral effective field theory
• Relativistic $O(q^4)$ two-pion exchange nucleon-nucleon potential: configuration space
• NN Scattering: Chiral Predictions for Asymptotic Observables
• Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering
• Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory
• Two-Pion-Exchange contributions to the nucleon-nucleon interactions in covariant baryon chiral perturbation theory
• Meson-baryon scattering up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory
• Renormalization of NN Interaction with Relativistic Chiral Two Pion Exchange
• Pion-nucleon scattering to $\mathcal{O}(p^3)$ in heavy baryon SU(3) chiral perturbation theory
• Partial Wave Analysis of Chiral NN Interactions
• Kaon-nucleon scattering to one-loop order in heavy baryon chiral perturbation theory
• Density-dependent NN-interaction from subsubleading chiral 3N-force: Intermediate-range contributions
• Pion-nucleon scattering to order $p^4$ in SU(3) heavy baryon chiral perturbation theory
• Low energy peripheral scaling in Nucleon-Nucleon Scattering and uncertainty quantification

Cited by in corpus (3)

• Light pseudoscalar meson and heavy meson scattering lengths to $\mathcal{O}(p^4)$ in heavy meson chiral perturbation theory
• Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory
• Octet baryon and heavy meson interactions in chiral effective field theory