The Three-Nucleon System at Next-To-Next-To-Leading Order

Abstract

We calculate higher order corrections for the three-nucleon system up to next-to-next-to-leading within an effective field theory with contact interactions alone. We employ a subtraction formalism previously developed and for which it has been shown that no new three-body force counterterm is needed for complete renormalization up to this order. We give results for the neutron-deuteron phaseshifts and the triton binding energy. Our results are in very good agreement with experimental results and calculations using realistic nucleon-nucleon potentials.

4 pages, 2 eps figures, revised version to appear in PRC

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Cited by in corpus (33)

• Modern Theory of Nuclear Forces
• Efimov Physics: a review
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• Effective field theory description of halo nuclei
• Efimov Physics in Cold Atoms
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Subleading contributions to the three-nucleon contact interaction
• Efimov States in Nuclear and Particle Physics
• No-core shell model in an effective-field-theory framework
• Renormalization of Singular Potentials and Power Counting
• The triton in a finite volume
• Low-Energy Universality in Atomic and Nuclear Physics
• Range Corrections to Three-Body Observables near a Feshbach Resonance
• Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory
• Universal Correlations in Pion-less EFT with the Resonating Group Model: Three and Four Nucleons
• Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order
• The ^4He trimer as an Efimov system
• Range corrections for two-neutron halo nuclei in effective theory
• Low-energy p-d scattering and He-3 in pionless EFT
• Effective density functionals beyond mean field
• Two and Three Nucleons in a Trap and the Continuum Limit
• Pion-mass dependence of three-nucleon observables
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Triton Photodisintegration with Effective Field Theory
• Temperature-dependent errors in nuclear lattice simulations
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
• Effective interactions and operators in no-core shell model
• Constraining the neutron-neutron scattering length with \eftnopi
• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory
• Nuclear clusters with Halo Effective Field Theory
• $nd$ scattering lengths from a quark-model based $NN$ interaction
• Universality in Few-Body Systems
• Effective Range Corrections in Few-Body Systems with large Scattering Length