Chiral Effective Field Theory Calculations of Weak Transitions in Light Nuclei

Abstract

We report Quantum Monte Carlo calculations of weak transitions in $A\le 10$ nuclei, based on the Norfolk two- and three-nucleon chiral interactions, and associated one- and two-body axial currents. We find that the contribution from two-body currents is at the $2$ - $3\%$ level, with the exception of matrix elements entering the rates of ${}^8$Li, ${}^8$B, and ${}^8$He beta decays. These matrix elements are suppressed in impulse approximation based on the (leading order) Gamow Teller transition operator alone; two-body currents provide a $20$ - $30\%$ correction, which is, however, insufficient to bring theory in agreement with experimental data. For the other transitions, the agreement with the data is satisfactory, and the results exhibit a negligible to mild model dependence when different combinations of Norfolk interactions are utilized to construct the nuclear wave functions. We report a complete study of two-body weak transition densities which reveals the expected universal behavior of two-body currents at short distances throughout the range of $A$=$3$ to $A$=$10$ systems considered here.

arXiv comment14 pages, 9 figures; Corrected experimental values for ${}^8$Li beta decay in Table V to be consistent with Table VI and the text; Corrected an error in row 2 column 4 of Figure 6, conclusions unchanged; Corrected errors in column 3 rows 3 and 4 of Figure 7, results unchanged; Corrected a typo in Equation 19, results in tables unchanged; Corrected ${}^8$He ground state isospin from $T=1$ to $T=2$

References in corpus (61)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Quantum Monte Carlo methods for nuclear physics
• Three-Nucleon Forces from Chiral Effective Field Theory
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Quantum Monte Carlo calculations of A=8 nuclei
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter
• Superallowed 0+ --> 0+ nuclear beta decays: 2014 critical survey, with precise results for Vud and CKM unitarity
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• New physics searches in nuclear and neutron $\beta$ decay
• A new leading contribution to neutrinoless double-beta decay
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Femtometer Toroidal Structures in Nuclei
• Local chiral potentials and the structure of light nuclei
• On the pion-nucleon coupling constant
• The Nuclear Science References (NSR) Database and Web Retrieval System
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Light-nuclei spectra from chiral dynamics
• Chiral Dynamics and Heavy-Fermion Formalism in Nuclei: I. Exchange Axial Currents
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Coarse grained Potential analysis of neutron-proton and proton-proton scattering below pion production threshold
• Quantum Monte Carlo calculations of electromagnetic moments and transitions in A <= 9 nuclei with meson-exchange currents derived from chiral effective field theory
• Weak capture of protons by protons
• A renormalized approach to neutrinoless double-beta decay
• Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions
• Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances
• Chiral effective field theory predictions for muon capture on deuteron and 3He
• Electromagnetic structure of A=2 and 3 nuclei in chiral effective field theory
• Equation of state of dense nuclear matter and neutron star structure from nuclear chiral interactions
• Electromagnetic two-body currents of one- and two-pion range
• The two-nucleon electromagnetic charge operator in chiral effective field theory ($\chi$EFT) up to one loop
• Properties of the nuclear medium
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Radiative alpha-capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions
• Nuclear axial current operators to fourth order in chiral effective field theory
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
• How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
• Quantum Monte Carlo calculations of weak transitions in $A$=6--10 nuclei
• Neutrinoless double beta decay matrix elements in light nuclei
• Six-body calculation of the alpha-deuteron radiative capture cross section
• 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
• Quantum Monte Carlo calculations of electroweak transition matrix elements in A = 6,7 nuclei
• Electromagnetic Structure of Few-Nucleon Ground States
• Tritium $\beta$-decay in chiral effective field theory
• Coarse grained NN potential with Chiral Two Pion Exchange
• Quasielastic lepton scattering and back-to-back nucleons in the short-time approximation
• Electromagnetic transition from the 4${}^{+}$ to 2${}^{+}$ resonance in ${}^8$Be measured via the radiative capture in ${}^4$He+${}^4$He
• Thermal neutron captures on $d$ and ${}^3$He
• Quantum Monte Carlo calculations of electromagnetic transitions in 8Be with meson-exchange currents derived from chiral effective field theory
• Local chiral interactions and magnetic structure of few-nucleon systems
• Pair counting, pion-exchange forces, and the structure of light nuclei
• Comparison between Variational Monte Carlo and Shell Model Calculations of Neutrinoless Double Beta Decay Matrix Elements in Light Nuclei
• Zemach moments and radii of 2,3H and 3,4He
• Box diagram contribution to the axial two-nucleon current

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• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
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• Recent progress in the electroweak structure of light nuclei using quantum Monte Carlo methods
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• Electroweak Currents from Chiral Effective Field Theory
• Multifarious roles of hidden chiral-scale symmetry:"Quenching" $g_A$ in nuclei
• Magnetic structure of $A\le 10$ nuclei using the Norfolk nuclear models with quantum Monte Carlo methods
• Hadron Structure using Continuum Schwinger Function Methods
• Comparative study of ${}^6$He $\beta$-decay based on different similarity-renormalization-group evolved chiral interactions
• Two-body weak currents in heavy nuclei
• Pions in Proton Structure and Everywhere Else
• Axial-vector form factor of nucleons at finite temperature from the AdS/QCD soft-wall model
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• Investigating nuclear beta decay using lattice quantum Monte Carlo approach
• Longitudinal form factors of $A\le 10$ nuclei in a chiral effective field theory approach
• Isospin-symmetry implications for nuclear two-body distributions and short-range correlations
• Two-body currents at finite momentum transfer and applications to M1 transitions
• Role of spin-isospin symmetries in nuclear $\beta$-decays
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
• The "Folk Theorem" on Effective Field Theory: A Case for Nuclear Physics
• Chiral Effective Field Theory's Impact on Advancing Quantum Monte Carlo Methods
• Efficient emulation of nuclear ground states with neural-network variational Monte Carlo and eigenvector continuation
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