Electroweak Currents from Chiral Effective Field Theory

Abstract

Since the pioneering work of Weinberg, Chiral Effective Field Theory ($\chi$EFT) has been widely and successfully utilized in nuclear physics to study many-nucleon interactions and associated electroweak currents. Nuclear $\chi$EFT has now developed into an intense field of research and is applied to study light to medium mass nuclei. In this contribution, we focus on the development of electroweak currents from $\chi$EFT and present applications to selected nuclear electroweak observables.

References in corpus (69)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Modern Theory of Nuclear Forces
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Three-Nucleon Forces from Chiral Effective Field Theory
• The Two-Nucleon Potential from Chiral Lagrangians
• Three-Body Interactions Among Nucleons and Pions
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
• On tadpoles and vacuum redefinitions in String Theory
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Mesonic low-energy constants
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Chiral Lagrangian Approach to Exchange Vector Currents in Nuclei
• Local chiral potentials and the structure of light nuclei
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Light-nuclei spectra from chiral dynamics
• Chiral three-nucleon force at N^4LO I: Longest-range contributions
• 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
• Quantum Monte Carlo calculations of electromagnetic moments and transitions in A <= 9 nuclei with meson-exchange currents derived from chiral effective field theory
• Two Nucleon Systems at $m_{\pi }\sim 450\mathrm{MeV}$ from Lattice QCD
• Elastic Electron Scattering from Light Nuclei
• Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions
• Electromagnetic structure of A=2 and 3 nuclei in chiral effective field theory
• Delta isobars and nuclear saturation
• 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
• Proton-proton fusion and tritium $\beta$-decay from lattice quantum chromodynamics
• Nuclear axial current operators to fourth order in chiral effective field theory
• Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
• Quantum Monte Carlo calculations of weak transitions in $A$=6--10 nuclei
• Magnetic moments of light nuclei from lattice quantum chromodynamics
• Chiral Effective Field Theory Calculations of Weak Transitions in Light Nuclei
• Nuclear Axial Currents in Chiral Effective Field Theory
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Double-$\beta$ Decay Matrix Elements from Lattice Quantum Chromodynamics
• Tritium $\beta$-decay in chiral effective field theory
• Charge-dependent nucleon-nucleon potential from chiral effective field theory
• The Solar Proton Burning Process Revisited In Chiral Perturbation Theory
• Nuclear Currents in Chiral Effective Field Theory
• Higher-order calculations of electron-deuteron scattering in nuclear effective theory
• Nuclear electromagnetic currents to fourth order in chiral effective field theory
• Up-to N${}^3$LO heavy-baryon chiral perturbation theory calculation for the M1 properties of three-nucleon systems
• 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
• Deuteron electromagnetic properties and the viability of effective field theory methods in the two-nucleon system
• Three-nucleon force in chiral EFT with explicit $\Delta (1232)$ degrees of freedom: Longest-range contributions at fourth order
• Few-nucleon matrix elements in pionless effective field theory in a finite volume
• The magnetic form factor of the deuteron in chiral effective field theory
• Signatures of the chiral two-pion exchange electromagnetic currents in the 2H and 3He photodisintegration reactions
• Effective field theory approach for the M1 properties of A=2 and 3 nuclei
• Lattice QCD Inputs for Nuclear Double Beta Decay
• Uncertainties in constraining low-energy constants from ${}^3$H $\beta$ decay
• The axial charge of the triton from lattice QCD
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• Box diagram contribution to the axial two-nucleon current
• Chiral perturbation theory for electroweak reactions on deuterium

Cited by in corpus (3)

• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• What hath Weinberg wrought? Reflections on what Weinberg's papers on 'Nuclear Forces from Chiral Lagrangians' did and did not accomplish