Accurate relativistic chiral nucleon-nucleon interaction up to NNLO

Abstract

We construct a relativistic chiral nucleon-nucleon interaction up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory. We show that a good description of the $np$ phase shifts up to $T_{\mathrm{lab}}=200$ MeV and even higher can be achieved with a ${\tilde{\chi }}^2/d.o.f.$ less than 1. Both the next-to-leading order results and the next-to-next-to-leading order results describe the phase shifts equally well up to $T_{\mathrm{lab}}=200$ MeV, but for higher energies, the latter behaves better, showing satisfactory convergence. The relativistic chiral potential provides the most essential inputs for relativistic ab initio studies of nuclear structure and reactions, which has been in need for almost two decades.

Accepted for publication in PRL. Uncertainty estimates updated and comparison with the Granada PWA added

References in corpus (14)

• Chiral effective field theory and nuclear forces
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• Light nuclei with semilocal momentum-space regularized chiral interactions up to third order
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• Relativistic Brueckner-Hartree-Fock theory for finite nuclei
• Nuclear matter in relativistic Brueckner-Hartree-Fock theory with Bonn potential in the full Dirac space
• Test of the hyperon-nucleon interaction within leading order covariant chiral effective field theory
• Strangeness $S=-3$ and $-4$ baryon-baryon interactions in relativistic chiral effective field theory
• Pion-mass dependence of the nucleon-nucleon interaction
• ${\Lambda }_{c}N$ interaction in leading order covariant chiral effective field theory
• Nonperturbative two-pion exchange contributions to the nucleon-nucleon interaction in covariant baryon chiral perturbation theory

Cited by in corpus (20)

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• Microscopic optical potential from the relativistic Brueckner-Hartree-Fock theory: Proton-nucleus scattering
• Accuracy of the mean-field theory in describing ground-state properties of light nuclei
• Relativistic model-free prediction for neutrinoless double beta decay at leading order
• Reconciling light nuclei and nuclear matter: relativistic $abinitio$ calculations
• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis
• Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory
• Nucleon-nucleon scattering up to next-to-next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: peripheral phases
• Reveal short range interactions between $u/d$ quarks in the $NN$, $D_{03}$, and $D_{30}$ systems
• Reexamination of antinucleon-nucleon interactions in covariant chiral effective field theory
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Octet baryon and heavy meson interactions in chiral effective field theory
• Exact-exchange relativistic density functional theory in three-dimensional coordinate space
• Charge dependent nucleon-nucleon potentials in covariant chiral effective field theory
• In-medium nucleon-nucleon cross sections from relativistic ab initio calculations
• Nucleon-nucleon scattering up to next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: low phases and the deuteron
• Enhancement of deltaful two-pion exchange nuclear forces
• Proton radioactivity in deformed nuclei with microscopic optical potential: A novel angular-dependent emission mechanism in the nanosecond-lived ${}^{149}$Lu