Muon capture on deuteron and 3He

Abstract

The muon capture reactions 2H(μ^-,ν_μ)nn and 3He(μ^-,ν_μ)3H are studied with conventional or chiral realistic potentials and consistent weak currents. The initial and final A=2 and 3 nuclear wave functions are obtained from the Argonne v18 or chiral N3LO two-nucleon potential, in combination with, respectively, the Urbana IX or chiral N2LO three-nucleon potential in the case of A=3. The weak current consists of polar- and axial-vector components. The former are related to the isovector piece of the electromagnetic current via the conserved-vector-current hypothesis. These and the axial currents are derived either in a meson-exchange or in a chiral effective field theory (chiEFT) framework. There is one parameter (either the N-to-Δaxial coupling constant in the meson-exchange model, or the strength of a contact term in the chiEFT model) which is fixed by reproducing the Gamow-Teller matrix element in tritium beta-decay. The model dependence relative to the adopted interactions and currents (and cutoff sensitivity in the chiEFT currents) is weak, resulting in total rates of 392.0 +/- 2.3 Hz for A=2, and 1484 +/- 13 Hz for A=3, where the spread accounts for this model dependence.

15 pages, 1 figure, submitted to Phys. Rev. C

References in corpus (44)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Construction of high-quality Nucleon-Nucleon potential models
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• The two-nucleon system at next-to-next-to-next-to-leading order
• Solar Fusion Cross Sections
• Local three-nucleon interaction from chiral effective field theory
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• State Dependent Effective Interaction for the Hyperspherical Formalism
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Weak capture of protons by protons
• Induced pseudoscalar coupling of the proton weak interaction
• QCD Accurately Predicts the Induced Pseudoscalar Coupling Constant
• State Dependent Effective Interaction for the Hyperspherical Formalism with Noncentral Forces
• Radiative Neutron-Proton Capture in Effective Chiral Lagrangians
• Weak proton capture on 3He
• A Precision Measurement of Nuclear Muon Capture on 3He
• NN,NΔCouplings and the Quark Model
• Variational Calculation on A=3 and 4 Nuclei with Non-Local Potentials
• Neutrino Breakup of A=3 Nuclei in Supernovae
• The ${\mu }^{-}d$ capture rate in effective field theory
• Realistic Calculation of the hep Astrophysical Factor
• Quantum Monte Carlo calculations of magnetic moments and M1 transitions in A<=7 nuclei including meson-exchange currents
• Thermal neutron captures on $d$ and ${}^3$He
• On extraction of value of axial mass from MiniBooNE neutrino quasi-elastic double differential cross section data
• N-d Elastic Scattering Using the Hyperspherical Harmonics Approach with Realistic Local and Non-Local Interactions
• Electroweak Radiative Corrections to Muon Capture
• Weak Transitions in A=6 and 7 Nuclei
• Up-to N${}^3$LO heavy-baryon chiral perturbation theory calculation for the M1 properties of three-nucleon systems
• Effective Field Theory Approach To \vec{n} + \vec{p} -> d + γAt Threshold
• Nuclear muon capture by 3He: meson exchange currents for the triton channel
• Induced pseudoscalar form factor of the nucleon at two-loop order in chiral perturbation theory
• Low-Energy Inelastic Neutrino Reactions on 4He
• Muon Capture on 3He and the Weak Structure of the Nucleon
• 6He beta-decay rate and the suppression of the axial constant in nuclear matter
• Theoretical Study of the ^3He(mu^-,nu_mu)^3H Capture
• 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
• Muon Capture in Deuterium
• Radiative Muon Capture by He-3

Cited by in corpus (31)

• Quantum Monte Carlo methods for nuclear physics
• The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions
• Chiral effective field theory predictions for muon capture on deuteron and 3He
• Electromagnetic and neutral-weak response functions of 4He and 12C
• Inclusive neutrino scattering off deuteron from threshold to GeV energies
• Neutral weak current two-body contributions in inclusive scattering from ${}^{12}$C
• The proton-proton weak capture in chiral effective field theory
• Tritium $\beta$-decay in chiral effective field theory
• The Theory of Parity Violation in Few-Nucleon Systems
• Break-up channels in muon capture on 3He
• Testing semi-local chiral two-nucleon interaction in selected electroweak processes
• Solar fusion III: New data and theory for hydrogen-burning stars
• The $\alpha +d\to {}^6\mathrm{Li}+\gamma$ astrophysical $S$-factor and its implications for Big Bang Nucleosynthesis
• Muon capture in nuclei: an ab initio approach based on quantum Monte Carlo methods
• Momentum space treatment of inclusive neutrino scattering off the deuteron and trinucleons
• Effective-field-theory predictions of the muon-deuteron capture rate
• Muon capture on 3H
• Recent progress in the electroweak structure of light nuclei using quantum Monte Carlo methods
• Partial muon capture rates in $A=3$ and $A=6$ nuclei with chiral effective field theory
• Muon Capture on Deuteron and 3He: A Personal Review
• From response functions to cross sections in neutrino scattering off the deuteron and trinucleons
• Radiative pion capture in 2H, 3He and 3H
• Deuteron disintegration in three dimensions
• An update of muon capture on hydrogen
• Measurement of spin observables in the quasi-free np-> {pp}_s pi- reaction at 353 MeV
• Muon capture on deuteron and the neutron-neutron scattering length
• Muon capture on deuteron using local chiral potentials
• Muon capture on the deuteron in chiral effective field theory
• Ab initio calculation of the electromagnetic and neutral-weak response functions of 4He and 12C
• Pion absorption from the lowest atomic orbital in 2H, 3H and 3He
• Green's function Monte Carlo calculations of the electromagnetic and neutral-weak response functions in the quasi-elastic sector