Les Houches Lectures on Effective Field Theories for Nuclear and (some) Atomic Physics
arXiv:1902.03141
Abstract
These lectures are a pedagogical -- not comprehensive -- introduction to the applications of effective field theory in the context of nuclear and atomic physics. A common feature of these applications is the interplay between nonperturbative physics (needed at leading order to produce nonrelativistic bound states and resonances) and controlled perturbative corrections (crucial for predictive power). The essential ideas are illustrated with the simplest nuclear EFT, Pionless EFT, which contains only contact interactions and, with minor changes, can be adapted to certain atomic systems. This EFT exploits the two-body unitarity limit, where renormalization leads to discrete scale invariance in systems of three and more bodies. Remarkably complex structures then arise from very simple leading-order interactions. Some of the challenges and rewards of including long-range forces -- pion exchange in Chiral EFT for nuclear systems or Van der Waals forces between atoms -- are briefly described.
arXiv commentContribution to the Proceedings of the 2017 Les Houches Summer School on Effective Field Theory in Particle Physics and Cosmology (Les Houches, France, July 31-August 25, 2017); 53 pages, 7 figures
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- Chiral effective field theory and nuclear forces
- Effective Field Theory for Short-Range Forces
- Evidence for Universal Four-Body States Tied to an Efimov Trimer
- Observation of the Second Triatomic Resonance in Efimov's Scenario
- Perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering
- Renormalizing Chiral Nuclear Forces: Triplet Channels
- Effective Field Theory for Lattice Nuclei
- Ground-State Properties of He and O Extrapolated from Lattice QCD with Pionless EFT
- Nuclear Physics Around the Unitarity Limit
- Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
- Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
- Imaging the He quantum halo state using a free electron laser
- Short-range nuclear forces in singlet channels
- Renormalization of Singular Potentials and Power Counting
- Efimov physics in bosonic atom-trimer scattering
- Renormalizing Chiral Nuclear Forces: A Case Study of 3P0
- Pion-less effective field theory for atomic nuclei and lattice nuclei
- Universal Five- and Six-Body Droplets Tied to an Efimov Trimer
- Range Corrections to Three-Body Observables near a Feshbach Resonance
- Fully Perturbative Calculation of Scattering to Next-to-next-to-leading-order
- Four-Body Scale in Universal Few-Boson Systems
- Variational calculation of 4He tetramer ground and excited states using a realistic pair potential
- Spectra and Scattering of Light Lattice Nuclei from Effective Field Theory
- Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order
- Power Counting in Peripheral Partial Waves: The Singlet Channels
- Perturbative scattering in chiral effective field theory
- Ground-state properties of unitary bosons: from clusters to matter
- Three-nucleon bound states and the Wigner-SU(4) limit
- Energy and structural properties of -boson clusters attached to three-body Efimov states: Two-body zero-range interactions and the role of the three-body regulator
- N-body Efimov states from two-particle noise
- Fate of the neutron-deuteron virtual state as an Efimov level
- Saturation properties of helium drops from a Leading Order description
- Low energy universality and scaling of Van der Waals forces
- Three-body systems in physics of cold atoms and halo nuclei
- Topological origin of universal few-body clusters in Efimov physics
- RG limit cycles
- Approaching universality in weakly-bound three-body systems