Pion-mass dependence of the nucleon-nucleon interaction

Abstract

Nucleon-nucleon interactions, both bare and effective, play an important role in our understanding of the non-perturbative strong interaction, as well as nuclear structure and reactions. In recent years, tremendous efforts have been seen in the lattice QCD community to derive nucleon-nucleon interactions from first principles. Because of the daunting computing resources needed, most of such simulations were still performed with larger than physical light quark masses. In the present work, employing the recently proposed covariant chiral effective field theory (ChEFT), we study the light quark mass dependence of the nucleon-nucleon interaction extracted by the HALQCD group. It is shown that the pion-full version of the ChEFT can describe the lattice QCD data with $m_{\pi }=469$ MeV and their experimental counterpart reasonably well, while the pion-less version can describe the lattice QCD data with $m_{\pi }=672,837,1015,1171$ MeV, for both the ${}^1{S}_0$ and ${}^3{S}_1$-${}^3{D}_1$ channels. The slightly better description of the single channel than the triplet channel indicates that higher order studies are necessary for the latter. Our results confirmed previous studies that the nucleon-nucleon interaction becomes more attractive for both the singlet and triplet channels as the pion mass decreases towards its physical value. It is shown that the virtual bound state in the ${}^1{S}_0$ channel remains virtual down to the chiral limit, while the deuteron only appears for a pion mass smaller than about 400 MeV. It seems that proper chiral extrapolations of nucleon-nucleon interaction are possible for pion masses smaller than 500 MeV, similar to the mesonic and one-baryon sectors.

arXiv comment7 pages, 5 figures, uncertainties generated by cutoff variations are added, and matched to the published version

References in corpus (24)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Two-Baryon Potentials and H-Dibaryon from 3-flavor Lattice QCD Simulations
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Variation of Fundamental Couplings and Nuclear Forces
• Effective Field Theory for Lattice Nuclei
• Are two nucleons bound in lattice QCD for heavy quark masses? -- Consistency check with Lüscher's finite volume formula --
• Leading order relativistic chiral nucleon-nucleon interaction
• Pseudocalar meson and vector meson interactions and dynamically generated axial-vector mesons
• Leading order relativistic hyperon-nucleon interactions in chiral effective field theory
• Strangeness $S=-2$ baryon-baryon interactions in relativistic chiral effective field theory
• Covariant chiral nucleon-nucleon contact Lagrangian up to order $\mathcal{O}(q^4)$
• Pion-nucleon sigma term revisited in covariant baryon chiral perturbation theory
• Strangeness $S=-1$ hyperon-nucleon interactions: chiral effective field theory vs. lattice QCD
• Baryon interactions from lattice QCD with physical masses --- strangeness $S=-1$ sector ---
• Low-energy theorems for nucleon-nucleon scattering at $M_{\pi }=450$ MeV
• Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory
• Scattering of charmed baryons on nucleons
• On the Quark Mass Dependence of Two Nucleon Observables
• Doubly magic nuclei from Lattice QCD forces at $M_{PS}=$469 MeV/c${}^2$
• Octet baryon magnetic moments at next-to-next-to-leading order in covariant chiral perturbation theory
• On the quark mass dependence of nucleon-nucleon S-wave scattering lengths

Cited by in corpus (12)

• 50 Years of Quantum Chromodynamics
• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• Strangeness $S=-2$ baryon-baryon interactions and femtoscopic correlation functions in covariant chiral effective field theory
• Maximally self-interacting dark matter: models and predictions
• Test of the hyperon-nucleon interaction within leading order covariant chiral effective field theory
• Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering
• Two-Pion-Exchange contributions to the nucleon-nucleon interactions in covariant baryon chiral perturbation theory
• ${\Lambda }_{c}N$ 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
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Reexamination of antinucleon-nucleon interactions in covariant chiral effective field theory
• Charge dependent nucleon-nucleon potentials in covariant chiral effective field theory