Building light nuclei from neutrons, protons, and pions

Abstract

In these lectures I first explain, in a rather basic fashion, the construction of effective field theories. I then discuss some recent developments in the application of such theories to two- and three-nucleon systems.

54 pages, uses czjphys.cls. Lectures given at 14th Summer School "Understanding the Structure of Hadrons", Prague, July 2001. To appear in Czechoslovak Journal of Physics

References in corpus (43)

• Construction of high-quality Nucleon-Nucleon potential models
• Chiral Dynamics in Nucleons and Nuclei
• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• Renormalization of the Three-Body System with Short-Range Interactions
• The Two-Nucleon Potential from Chiral Lagrangians
• Three-Body Interactions Among Nucleons and Pions
• Effective Field Theory for Short-Range Forces
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• The Three-Boson System with Short-Range Interactions
• Nucleon-Nucleon Scattering from Effective Field Theory
• Nucleon-Nucleon Effective Field Theory Without Pions
• Effective Theory of the Triton
• Effective Field Theory of Nuclear Forces
• More Effective Field Theory for Nonrelativistic Scattering
• Accurate Nucleon-Nucleon Potential Based upon Chiral Perturbation Theory
• Nucleon-Deuteron Scattering from an Effective Field Theory
• Chiral two-pion exchange and proton-proton partial-wave analysis
• Rearranging Pionless Effective Field Theory
• Phenomenology of the Deuteron Electromagnetic Form Factors
• How short is too short? Constraining zero-range interactions in nucleon-nucleon scattering
• Precision Calculation of n+p->d+gamma Cross Section for Big-Bang Nucleosynthesis
• Neutrino-Deuteron Scattering in Effective Field Theory at Next-to-Next-to Leading Order
• Improving the Convergence of NN Effective Field Theory
• Bound States and Power Counting in Effective Field Theories
• Range Corrections to Doublet S-Wave Neutron-Deuteron Scattering
• Quartet S Wave Neutron Deuteron Scattering in Effective Field Theory
• Higher Partial Waves in an Effective Field Theory Approach to nd Scattering
• Neutral pion photoproduction on deuterium in baryon chiral perturbation theory to order q^4
• Short-range interactions in an effective field theory approach for nucleon-nucleon scattering
• Proton-Proton Fusion in Effective Field Theory to Fifth Order
• First Extraction of a Spin-Polarizability of the Proton
• The isoscalar S-wave pi-N scattering length a+ from pi-deuteron scattering
• A momentum subtraction scheme for two--nucleon effective field theory
• Deuteron electromagnetic properties and the viability of effective field theory methods in the two-nucleon system
• Elastic Compton scattering from the deuteron and nucleon polarizabilities
• About the Equivalence of Cut-off and Renormalised Effective Field Theories
• Field Redefinitions at Finite Density
• Compton Scattering on the Deuteron in Baryon Chiral Perturbation Theory
• Compton scattering from the proton at NLO in the chiral expansion
• Neutron Polarizabilities From Compton Scattering on the Deuteron?
• Effective Field Theory For Nuclei: Confronting Fundamental Questions in Astrophysics

Cited by in corpus (29)

• Universality in Few-body Systems with Large Scattering Length
• Quantifying truncation errors in effective field theory
• Aharonov-Bohm effect and nucleon-nucleon phase shifts on the lattice
• Effective field theory description of halo nuclei
• Resonant Fermi gases with a large effective range
• Bayesian parameter estimation for effective field theories
• Electric properties of the Beryllium-11 system in Halo EFT
• Bayesian Methods for Parameter Estimation in Effective Field Theories
• Low-Energy Universality in Atomic and Nuclear Physics
• Three particles in a finite volume: The breakdown of spherical symmetry
• The S-Wave Pion-Nucleon Scattering Lengths from Pionic Atoms using Effective Field Theory
• Electromagnetic Structure of the Z_c(3900)
• Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O(Q^4)
• Universal Correlations in Pion-less EFT with the Resonating Group Model: Three and Four Nucleons
• The three-body problem with short-range forces: renormalized equations and regulator-independent results
• Spectra and Scattering of Light Lattice Nuclei from Effective Field Theory
• Fitting two nucleons inside a box: exponentially suppressed corrections to the Luscher's formula
• Family of Hermitian Low-Momentum Nucleon Interactions with Phase Shift Equivalence
• Sommerfeld enhancement from Goldstone pseudo-scalar exchange
• Pions in the Pionless Effective Field Theory
• Continuity equation and local gauge invariance for the N3LO nuclear Energy Density Functionals
• Counter Terms for Low Momentum Nucleon-Nucleon Interactions
• Renormalization of NN Interaction with Relativistic Chiral Two Pion Exchange
• Pion-less Effective Field Theory on Low-Energy Deuteron Electro-Disintegration
• Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe-Goldstone ladder resummation approach
• A closer look at the $pp$-chain reaction in the Sun: Constraining the coupling of light mediators to protons
• Momentum-space probability density of ${}^6$He in Halo Effective Field Theory
• Toward precision Fermi liquid theory in two dimensions
• Deuteron radial moments for renormalized chiral potentials