Nuclear Structure at the Crossroads

Abstract

Steven Weinberg's seminal papers from 1990-92 initiated the use of effective field theories (EFTs) for nuclei. We summarize progress, priorities, and open questions for nuclear EFT developments based on the 2019 INT program "Nuclear Structure at the Crossroads."

15 pages, Contribution to Special Issue: Celebrating 30 years of Steven Weinberg's papers on Nuclear Forces from Chiral Lagrangians; published version

References in corpus (70)

• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• From low-momentum interactions to nuclear structure
• Nuclear effective field theory: status and perspectives
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Three-Body Interactions Among Nucleons and Pions
• Cloud Quantum Computing of an Atomic Nucleus
• Stringent constraints on neutron-star radii from multimessenger observations and nuclear theory
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation
• How well do we know the neutron-matter equation of state at the densities inside neutron stars? A Bayesian approach with correlated uncertainties
• Quantifying truncation errors in effective field theory
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Ab initio limits of atomic nuclei
• Effective field theory description of halo nuclei
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Bayesian truncation errors in chiral effective field theory: nucleon-nucleon observables
• Eigenvector continuation with subspace learning
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor
• Converged ab initio calculations of heavy nuclei
• Global sensitivity analysis of bulk properties of an atomic nucleus
• Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification
• Family of Chiral Two- plus Three-Nucleon Interactions for Accurate Nuclear Structure Studies
• Entanglement Rearrangement in Self-Consistent Nuclear Structure Calculations
• Get on the BAND Wagon: A Bayesian Framework for Quantifying Model Uncertainties in Nuclear Dynamics
• Ground-State Properties of ${}^4$He and ${}^{16}$O Extrapolated from Lattice QCD with Pionless EFT
• Nuclear and neutron-star matter from local chiral interactions
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces
• New applications of renormalization group methods in nuclear physics
• Scale and Scheme Independence and Position-Momentum Equivalence of Nuclear Short-Range Correlations
• Chiral EFT based nuclear forces: Achievements and challenges
• Extraction of the neutron charge radius from a precision calculation of the deuteron structure radius
• In-medium similarity renormalization group with three-body operators
• Efficient emulators for scattering using eigenvector continuation
• Ab initio calculation of neutral-current $\nu$-${}^{12}$C inclusive quasielastic scattering
• Preparation of excited states for nuclear dynamics on a quantum computer
• The isotensor axial polarisability and lattice QCD input for nuclear double-$\beta$ decay phenomenology
• Probing chiral interactions up to next-to-next-to-next-to-leading order in medium-mass nuclei
• Improved many-body expansions from eigenvector continuation
• Four-Body Scale in Universal Few-Boson Systems
• Nuclear Currents in Chiral Effective Field Theory
• Correlations imposed by the unitary limit between few-nucleon systems, nuclear matter and neutron stars
• Neutron matter at finite temperature based on chiral effective field theory interactions
• Possible lightest $\Xi$ Hypernucleus with Modern $\Xi N$ Interactions
• ADG: Automated generation and evaluation of many-body diagrams I. Bogoliubov many-body perturbation theory
• New Ideas in Constraining Nuclear Forces
• Effective field theory for nuclear vibrations with quantified uncertainties
• Short-range correlation physics at low RG resolution
• First lattice QCD study of the gluonic structure of light nuclei
• The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Full optimization and validation
• Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi }\sim 450$ MeV from Lattice Quantum Chromodynamics
• Power counting in chiral effective field theory and nuclear binding
• Perturbative $NN$ scattering in chiral effective field theory
• Machine learning-based inversion of nuclear responses
• Embedding nuclear physics inside the unitary window
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Geometric Quantum Information Structure in Quantum Fields and their Lattice Simulation
• Designing Optimal Experiments: An Application to Proton Compton Scattering
• Bayesian analysis of capture reactions ${}^3\mathrm{He}(\alpha ,\gamma {)}^7\mathrm{Be}$ and ${}^3\mathrm{H}(\alpha ,\gamma {)}^7\mathrm{Li}$
• Low-energy bound states, resonances, and scattering of light ions
• Universal physics of bound states of a few charged particles
• ADG: Automated generation and evaluation of many-body diagrams II. Particle-number projected Bogoliubov many-body perturbation theory
• Sanity check for $NN$ bound states in lattice QCD with Lüscher's finite volume formula -- Exposing Symptoms of Fake Plateaux --
• Low-rank matrix decompositions for ab initio nuclear structure
• Comparing different density-matrix expansions for long-range pion exchange
• ADG: Automated generation and evaluation of many-body diagrams III. Bogoliubov in-medium similarity renormalization group formalism
• Singular Value Decomposition and Similarity Renormalization Group Evolution of Nuclear Interactions

Cited by in corpus (11)

• Imaging the initial condition of heavy-ion collisions and nuclear structure across the nuclide chart
• Fast & accurate emulation of two-body scattering observables without wave functions
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• A Bayesian mixture model approach to quantifying the empirical nuclear saturation point
• What Can Possibly Go Wrong?
• Embedding short-range correlations in relativistic density functionals through quasi-deuterons
• Two-pion exchange as a leading-order contribution in chiral effective field theory
• A brief account of Steven Weinberg's legacy in ab initio many-body theory
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Active learning emulators for nuclear two-body scattering in momentum space
• Chiral Effective Field Theory's Impact on Advancing Quantum Monte Carlo Methods