Muon capture on deuteron using local chiral potentials

Abstract

The muon capture reaction ${\mu }^{-}+d\to n+n+{\nu }_{\mu }$ in the doublet hyperfine state is studied using nuclear potentials and consistent currents derived in chiral effective field theory, which are local and expressed in coordinate-space (the so-called Norfolk models). Only the largest contribution due to the ${}^1{S}_0$ $nn$ scattering state is considered. Particular attention is given to the estimate of the theoretical uncertainty, for which four sources have been identified: (i) the model dependence, (ii) the chiral order convergence for the weak nuclear current, (iii) the uncertainty in the single-nucleon axial form factor, and (iv) the numerical technique adopted to solve the bound and scattering $A=2$ systems. This last source of uncertainty has turned out essentially negligible. The ${}^1{S}_0$ doublet muon capture rate ${\Gamma }^D{(}^1{S}_0)$ has been found to be ${\Gamma }^D{(}^1{S}_0)=255.8(0.6)(4.4)(2.9)$ s${}^{-1}$, where the three errors come from the first three sources of uncertainty. The value for ${\Gamma }^D{(}^1{S}_0)$ obtained within this local chiral framework is compared with previous calculations and found in very good agreement.

arXiv comment33 pages, 3 figures

References in corpus (35)

• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Solar fusion cross sections II: the pp chain and CNO cycles
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• Deuterium target data for precision neutrino-nucleus cross sections
• Local chiral potentials and the structure of light nuclei
• Light-nuclei spectra from chiral dynamics
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• A renormalized approach to neutrinoless double-beta decay
• Chiral effective field theory predictions for muon capture on deuteron and 3He
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
• Weak proton capture on 3He
• Nucleon Axial Radius and Muonic Hydrogen - A New Analysis and Review
• Chiral Effective Field Theory Calculations of Weak Transitions in Light Nuclei
• Nuclear Axial Currents in Chiral Effective Field Theory
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• The proton-proton weak capture in chiral effective field theory
• Coarse grained NN potential with Chiral Two Pion Exchange
• Calculation of the ${}^6$Li ground state within the hyperspherical harmonic basis
• Local chiral interactions and magnetic structure of few-nucleon systems
• Muon capture on deuteron and 3He
• Benchmark calculations of infinite neutron matter with realistic two- and three-nucleon potentials
• Break-up channels in muon capture on 3He
• Effective-field-theory predictions of the muon-deuteron capture rate
• 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
• Universal behavior of $p$-wave proton-proton fusion near threshold
• Comparative study of ${}^6$He $\beta$-decay based on different similarity-renormalization-group evolved chiral interactions
• Corrections to nucleon capture cross sections computed in truncated Hilbert spaces

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• 50 Years of Quantum Chromodynamics
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