Naturalness in Nuclear Effective Field Theories

Abstract

Nuclear effective field theories (EFTs) have been developed over the last quarter-century with considerable impact on the description of light and even medium-mass nuclei. At the core of any EFT is a systematic expansion of observables, which is usually obtained from a rule based on an assumption of naturalness. I discuss naturalness in the context of the relatively weak binding of nuclei, where discrete scale invariance plays a role in the emergence of complexity.

22 pages, contribution to EPJA's topical issue "The tower of effective (field) theories and the emergence of nuclear phenomena"

References in corpus (13)

• Chiral Perturbation Theory and Baryon Properties
• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Universal Properties of the Four-Body System with Large Scattering Length
• No-core shell model in an effective-field-theory framework
• Efimov physics in bosonic atom-trimer scattering
• Scattering Models for Ultracold Atoms
• Range Corrections to Three-Body Observables near a Feshbach Resonance
• Energy spectra of small bosonic clusters having a large two-body scattering length
• Effective Field Theory for Few-Boson Systems
• Historical perspective and future prospects for nuclear interactions
• Two Notions of Naturalness
• Ground-state properties of unitary bosons: from clusters to matter
• Les Houches Lectures on Effective Field Theories for Nuclear and (some) Atomic Physics

Cited by in corpus (21)

• Minimal Entanglement and Emergent Symmetries in Low-energy QCD
• Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi }\sim 450$ MeV from Lattice Quantum Chromodynamics
• Ab-initio electroweak corrections to superallowed $\beta$ decays and their impact on $V_{ud}$
• Peaks within peaks and the possible two-peak structure of the Pc(4457): the effective field theory perspective
• Weinberg's Compositeness
• Nuclear Effective Field Theories: Reverberations of the early days
• Nonrelativistic Effective Field Theory with a Resonance Field
• Bayesian Analysis of $\chi$EFT at Leading Order in a Modified Weinberg Power Counting Approach
• Effective Field Theory for Two-Body Systems with Shallow S-Wave Resonances
• The Natural TeV Cutoff of the Higgs Field from the Multiplicative Lagrangian
• A further study on the renormalization group aspect of perturbative corrections
• Critical Properties of Symmetric Nuclear Matter in Low-Density Regime Using Effective-Relativistic Mean Field Formalism
• Nucleon-nucleon scattering up to next-to-next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: peripheral phases
• Nucleon decay in the deuteron
• Renormalization of One-Pion Exchange in Chiral Effective Field Theory for Antinucleon-Nucleon Scattering
• Nucleon-nucleon scattering with perturbative pions: The uncoupled $P$-wave channels
• Feasibility of perturbative generation of bound-states from resonances or virtual states
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
• Weinberg and few-nucleon forces
• Renormalization of One-Pion Exchange in Higher Partial Waves in Chiral Effective Field Theory for Antinucleon-Nucleon System
• Improved Actions for Nuclear Effective Field Theories