How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length

Abstract

We show that chiral symmetry and gauge invariance enforce relations between the short-distance physics that occurs in a number of electroweak and pionic reactions on light nuclei. Within chiral perturbation theory this is manifested via the appearance of the same axial isovector two-body contact term in pi- d -> n n gamma, p-wave pion production in NN collisions, tritium beta decay, pp fusion, nu d scattering, and the hep reaction. Using a Gamow-Teller matrix element obtained from calculations of pp fusion as input we compute the neutron spectrum obtained in pi- d -> n n gamma. With the short-distance physics in this process controlled from p p -> d e+ nu_e the theoretical uncertainty in the nn scattering length extracted from pi- d -> n n gamma is reduced by a factor larger than three, to <~0.05 fm.

REVTeX4, 4 pages (5 pages since the arXiv doesn't collapse refs), 3 eps figures; revised version to appear in PRL, conclusions unchanged

References in corpus (24)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• Chiral Dynamics in Nucleons and Nuclei
• The two-nucleon system at next-to-next-to-next-to-leading order
• Three-Nucleon Forces from Chiral Effective Field Theory
• The Two-Nucleon Potential from Chiral Lagrangians
• Three-Body Interactions Among Nucleons and Pions
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• The nucleon-nucleon interaction
• Chiral Symmetry and Three-Nucleon Forces
• Weak capture of protons by protons
• Electroweak Matrix Elements in the Two-Nucleon Sector from Lattice QCD
• Chiral Three-Nucleon Forces from p-wave Pion Production
• Precision calculation of $\gamma d\to {\pi }^{+}nn$ within chiral perturbation theory
• Proton-Proton Fusion in Effective Field Theory to Fifth Order
• The Solar Proton Burning Process Revisited In Chiral Perturbation Theory
• The ${\mu }^{-}d$ capture rate in effective field theory
• Dimensional Power Counting in Nuclei
• Solar-neutrino reactions on deuteron in effective field theory
• Deuteron electromagnetic properties and the viability of effective field theory methods in the two-nucleon system
• Constraints on Two-Body Axial Currents from Reactor Antineutrino-Deuteron Breakup Reactions
• Using chiral perturbation theory to extract the neutron-neutron scattering length from pi- d -> n n gamma

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• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
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• Chiral Effective Field Theory Calculations of Weak Transitions in Light Nuclei
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• Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Effects of three-nucleon forces and two-body currents on Gamow-Teller strengths
• Proton-proton fusion in pionless effective theory
• Extracting the neutron-neutron scattering length -- recent developments
• Local chiral interactions and magnetic structure of few-nucleon systems
• A chiral effective field theory study of hadronic parity violation in few-nucleon systems
• p-Wave pion production from nucleon-nucleon collisions
• Local position-space two-nucleon potentials from leading to fourth order of chiral effective field theory
• Implementing chiral three-body forces in terms of medium-dependent two-body forces
• Effective Field Theory calculations of $NN\to NN\pi$
• Uncertainties in constraining low-energy constants from ${}^3$H $\beta$ decay
• Muon Capture on the Deuteron -- The MuSun Experiment
• Neutron-neutron scattering length from the reaction gamma d --> pi^+ nn employing chiral perturbation theory
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• Muon Capture on Deuteron and 3He: A Personal Review
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• Large-$N_c$ analysis of magnetic and axial two-nucleon currents in pionless effective field theory
• Radiative pion capture in 2H, 3He and 3H
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• Measurement of spin observables in the quasi-free np-> {pp}_s pi- reaction at 353 MeV
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