The ${\mu }^{-}d$ capture rate in effective field theory

Abstract

Muon capture on the deuteron is studied in heavy baryon chiral perturbation theory (HBChPT). It is found that by far the dominant contribution to $\mu d$ capture comes from a region of the final three-body phase-space in which the energy of the two neutrons is sufficiently small for HBChPT to be applicable. The single unknown low-energy constant having been fixed from the tritium beta decay rate, our calculation contains no free parameter. Our estimate of the $\mu d$ capture rate is consistent with the existing data. The relation between $\mu d$ capture and the $\nu d$ reactions, which are important for the SNO experiments, is briefly discussed.

arXiv comment15 pages, 1 figure

References in corpus (21)

• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• Effective Field Theory of Nuclear Forces
• The form factors of the nucleon at small momentum transfer
• Chiral Lagrangian Approach to Exchange Vector Currents in Nuclei
• Chiral Dynamics and Heavy-Fermion Formalism in Nuclei: I. Exchange Axial Currents
• Neutrino-Deuteron Scattering in Effective Field Theory at Next-to-Next-to Leading Order
• The $pp\to pp{\pi }^0$ Reaction near Threshold: A Chiral Power Counting Approach
• Neutrino Reactions on Deuteron
• The reaction $\pi N\to \pi \pi N$ at threshold in chiral perturbation theory
• Radiative Neutron-Proton Capture in Effective Chiral Lagrangians
• Chiral Perturbation Approach to the pp -> pp pi0 Reaction Near Threshold
• The Solar Proton Burning Process Revisited In Chiral Perturbation Theory
• Chiral Perturbation Theory and the pp -> pp pi0 Reaction Near Threshold
• Effective Field Theory Approach To \vec{n} + \vec{p} -> d + γAt Threshold
• On the Normalization of the Neutrino-Deuteron Cross Section
• Nuclear Matrix Elements of Axial-Charge Exchange Currents Derived in Heavy-Fermion Chiral Perturbation Theory
• Threshold $pp\to pp{\pi }^0$ up to one-loop accuracy
• Capture rate and neutron helicity asymmetry for ordinary muon capture on hydrogen
• In-Medium Effective Axial-Vector Coupling Constant

Cited by in corpus (39)

• Solar fusion cross sections II: the pp chain and CNO cycles
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Multichannel one-to-two transition amplitudes in a finite volume
• Induced pseudoscalar coupling of the proton weak interaction
• Chiral effective field theory predictions for muon capture on deuteron and 3He
• Nuclear axial current operators to fourth order in chiral effective field theory
• How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
• Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O(Q^4)
• Nuclear Currents in Chiral Effective Field Theory
• Proton-proton fusion in pionless effective theory
• Extracting the neutron-neutron scattering length -- recent developments
• The Theory of Parity Violation in Few-Nucleon Systems
• Up-to N${}^3$LO heavy-baryon chiral perturbation theory calculation for the M1 properties of three-nucleon systems
• Solar-neutrino reactions on deuteron in effective field theory
• Muon capture on deuteron and 3He
• Constraints on Two-Body Axial Currents from Reactor Antineutrino-Deuteron Breakup Reactions
• Effective field theory approach for the M1 properties of A=2 and 3 nuclei
• Fixing Two-Nucleon Weak-Axial Coupling L_{1,A} From mu-d Capture
• Uncertainties in constraining low-energy constants from ${}^3$H $\beta$ decay
• Solar fusion III: New data and theory for hydrogen-burning stars
• Effective Field Theory calculations of $NN\to NN\pi$
• Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory
• Effective-field-theory predictions of the muon-deuteron capture rate
• Fundamental measurements with muons - View from PSI
• Chiral O(Q^4) two-body operators for s-wave pion photoproduction on the NN system
• Muon Capture on Deuteron and 3He: A Personal Review
• Comparison of the heavy-fermion and Foldy-Wouthuysen formalisms at third order
• Renormalization group analysis of nuclear current operators
• Muon Capture in Deuterium
• Neutron-Neutron Fusion
• Measurement of spin observables in the quasi-free np-> {pp}_s pi- reaction at 353 MeV
• An update of muon capture on hydrogen
• Weak axial nuclear heavy meson exchange currents and interactions of solar neutrinos with deuterons
• Muon capture on the deuteron in chiral effective field theory
• Muon Capture on the Proton and Deuteron
• EFT for electroweak processes of light nuclei
• Muon capture at PSI
• Neutrino-nucleus reactions in the energy range 1-100 MeV