Few-nucleon matrix elements in pionless effective field theory in a finite volume

Abstract

Pionless effective field theory in a finite volume (FVEFT${}_{\pi /}$) is investigated as a framework for the analysis of multi-nucleon spectra and matrix elements calculated in lattice QCD (LQCD). By combining FVEFT${}_{\pi /}$ with the stochastic variational method, the spectra of nuclei with atomic number $A\in \{2,3\}$ are matched to existing finite-volume LQCD calculations at heavier-than-physical quark masses corresponding to a pion mass $m_{\pi }=806$ MeV, thereby enabling infinite-volume binding energies to be determined using infinite-volume variational calculations. Based on the variational wavefunctions that are constructed in this approach, the finite-volume matrix elements of various local operators are computed in FVEFT${}_{\pi /}$ and matched to LQCD calculations of the corresponding QCD operators in the same volume, thereby determining the relevant one and two-body EFT counterterms and enabling an extrapolation of the LQCD matrix elements to infinite volume. As examples, the scalar, tensor, and axial matrix elements are considered, as well as the magnetic moments and the isovector longitudinal momentum fraction.

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• 50 Years of Quantum Chromodynamics
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• The axial charge of the triton from lattice QCD
• On the Extraction of Low-energy Constants of Single- and Double-$\beta$ Decays from Lattice QCD: A Sensitivity Analysis
• Lattice QCD constraints on the parton distribution functions of ${}^3\text{He}$
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Volume extrapolation via eigenvector continuation
• Constraints on subleading interactions in beta decay Lagrangian
• Few nucleons scattering in pionless effective field theory
• Electroweak Currents from Chiral Effective Field Theory
• Charged-particle bound states in periodic boxes
• Spectrum of light nuclei in a finite volume
• A Vision for the Science of Rare Isotopes
• Worldline Monte Carlo method for few body nuclear physics
• Perturbative application of next-to-leading order pionless EFT for $A\le 3$ nuclei in a finite volume
• Deformed Explicitly Correlated Gaussians