Fixing Two-Nucleon Weak-Axial Coupling L_{1,A} From mu-d Capture

Abstract

We calculate the muon capture rate on the deuteron to next-to-next-to-leading order in the pionless effective field theory. The result can be used to constrain the two-nucleon isovector axial coupling L_{1,A} to +/- 2 fm^3 if the muon capture rate is measured to 2% level. From this, one can determine the neutrino-deuteron break up reactions and the pp-fusion cross section in the sun to a same level of accuracy.

arXiv commentreplaced by the version appearing in the PRC

References in corpus (28)

• 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
• Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters
• Effective Field Theory for Few-Nucleon Systems
• New solar opacities, abundances, helioseismology, and neutrino fluxes
• Nucleon-Nucleon Effective Field Theory Without Pions
• More Effective Field Theory for Nonrelativistic Scattering
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• Rearranging Pionless Effective Field Theory
• Precision Calculation of n+p->d+gamma Cross Section for Big-Bang Nucleosynthesis
• Neutrino-Deuteron Scattering in Effective Field Theory at Next-to-Next-to Leading Order
• Neutrino Reactions on Deuteron
• Coulomb Effects in Low Energy Proton-Proton Scattering
• Weak capture of protons by protons
• n+p -> d+gamma for Big-Bang Nucleosynthesis
• Elastic and Inelastic Neutrino-Deuteron Scattering in Effective Field Theory
• Proton-Proton Fusion in Effective Field Theory
• Proton-Proton Fusion in Effective Field Theory to Fifth Order
• Effective field theory of the deuteron with dibaryon field
• The ${\mu }^{-}d$ capture rate in effective field theory
• Proton-Proton Fusion in Leading Order of Effective Field Theory
• Constraining the Leading Weak Axial Two-body Current by SNO and Super-K
• Parity Violation in Low-Energy np->d gamma and the Deuteron Anapole Moment
• Constraints on Two-Body Axial Currents from Reactor Antineutrino-Deuteron Breakup Reactions
• Nucleon Polarisabilities from Compton Scattering on the Deuteron
• Effective-Range Corrections to the Proton-Proton Fusion Rate
• Deuteron Compton Scattering in Effective Field Theory: Spin-Dependent Cross Sections and Asymmetries
• Deuteron Compton Scattering in Effective Field Theory And Spin-Independent Nucleon Polarizabilities

Cited by in corpus (15)

• Solar fusion cross sections II: the pp chain and CNO cycles
• Nuclear effective field theory: status and perspectives
• Multichannel one-to-two transition amplitudes in a finite volume
• Radiative neutron capture on a proton at BBN energies
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Proton-proton fusion in pionless effective theory
• Muon capture on deuteron and 3He
• Effective field theory approach for the M1 properties of A=2 and 3 nuclei
• Tritium $\beta$-decay in pionless effective field theory
• Solar fusion III: New data and theory for hydrogen-burning stars
• On the Extraction of Low-energy Constants of Single- and Double-$\beta$ Decays from Lattice QCD: A Sensitivity Analysis
• Two-neutrino double-beta decay in pionless effective field theory from a Euclidean finite-volume correlation function
• Fundamental measurements with muons - View from PSI
• Muon Capture on Deuteron and 3He: A Personal Review
• Muon Capture in Deuterium