The two-nucleon system at next-to-next-to-next-to-leading order

Abstract

We consider the two-nucleon system at next-to-next-to-next-to-leading order (N^3LO) in chiral effective field theory. The two-nucleon potential at N^3LO consists of one-, two- and three-pion exchanges and a set of contact interactions with zero, two and four derivatives. In addition, one has to take into account various isospin-breaking and relativistic corrections. We employ spectral function regularization for the multi-pion exchanges. Within this framework, it is shown that the three-pion exchange contribution is negligibly small. The low-energy constants (LECs) related to pion-nucleon vertices are taken consistently from studies of pion-nucleon scattering in chiral perturbation theory. The total of 26 four-nucleon LECs has been determined by a combined fit to some np and pp phase shifts from the Nijmegen analysis together with the nn scattering length. The description of nucleon-nucleon scattering and the deuteron observables at N^3LO is improved compared to the one at NLO and NNLO. The theoretical uncertainties in observables are estimated based on the variation of the cut-offs in the spectral function representation of the potential and in the regulator utilized in the Lippmann-Schwinger equation.

62 pp, 13 figs

References in corpus (1)

• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron

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• Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory
• Effective Field Theories for Neutron Stars Physics
• Twice-iterated boson-exchange scattering amplitudes
• Renormalization of NN Chiral EFT, my personal mixed feelings
• The chiral limit of QCD and above
• Three-Nucleon Forces
• Ground-state energies and charge radii of ${}^4$He, ${}^{16}$O, ${}^{40}$Ca, and ${}^{56}$Ni in the unitary-model-operator approach
• Effective range expansion in various scenarios of EFT($\notpi$)
• Ab initio calculations on nuclear matter properties including the effects of three-nucleons interaction
• Modern topics in theoretical nuclear physics
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Octet baryon and heavy meson interactions in chiral effective field theory
• Strange two-baryon interactions using chiral effective field theory
• Density of Saturated Nuclear Matter at Large $N_c$ and Heavy Quark Mass Limits
• Recent progress on superstrange dynamics
• Next-to-leading order effective field theory $\Lambda N\to NN$ potential in coordinate space
• Charge dependent nucleon-nucleon potentials in covariant chiral effective field theory
• Saturation of nuclear matter in effective field theory
• Correlations among neutron-proton and neutron-deuteron elastic scattering observables
• Two-Pion Exchange in Proton-Proton Scattering
• Progress in Understanding the Nuclear Equation of State at the Quark Level
• Investigation of interaction of circularly and linearly polarized photon beams with polarized 3He target
• Singlet NN Regularization using a Boundary Condition for OPE and TPE potentials
• Pions and Contacts at N4LO: Some details on the chiral nuclear force
• Nuclear correlation functions using first-principle calculations of lattice quantum chromodynamics
• Nuclei and chiral dynamics
• Properties of hyperons in nuclear matter from chiral hyperon-nucleon interactions at next-to-next-to-leading order
• Chiral Expansion, Renormalization and the Nuclear Force
• Chiral nucleon-nucleon forces in nuclear structure calculations
• Chiral dynamics of few-nucleon systems
• The one-pion-exchange potential with contact terms from lattice QCD simulations
• Electromagnetic structure of light nuclei
• Isospin breaking from diquark clustering
• Charge Symmetry Breaking and Nuclear Pion Production Reactions
• Significance of chiral three-nucleon force contact terms for understanding of elastic nucleon-deuteron scattering
• Efficient emulator for solving three-nucleon continuum Faddeev equations with chiral three-nucleon force comprising any number of contact terms
• Constraining Hamiltonians from chiral effective field theory with neutron-star data
• Study of nucleonic matter with a consistent two- and three-body perturbative chiral interaction
• On-shell transition of SRG and nuclear systems
• Fixed points of the SRG evolution and the on-shell limit of the nuclear force
• Nucleon-nucleon potentials in phase-space representation
• Electromagnetic processes in a $\chi$EFT framework
• An Effective Field Theory at Finite Density
• Consistency between renormalization group running of chiral operator and counting rule -- Case of chiral pion production operator --
• Low-energy Electro-weak Reactions
• Perturbation theory for a systematic account of the bound-state motion