How To Classify 3-Body Forces -- And Why

Abstract

For systems with only short-range forces and shallow 2-body bound states, the typical strength of any 3-body force in all partial-waves, including external currents, is systematically estimated by renormalisation-group arguments in the Effective Field Theory of Point-Like Interactions. The underlying principle and some consequences in particular in Nuclear Physics are discussed.

arXiv comment7 pages LaTeX2e using FBSart-class (provided); 2 figures in 3 .eps files included using graphicx; to appear in Few-Body Systems

References in corpus (4)

• Effective Field Theory for Few-Nucleon Systems
• Improved Convergence in the Three-Nucleon System at Very Low Energies
• Naive Dimensional Analysis for Three-Body Forces Without Pions
• $Nd\to {}^{3}H\gamma$ with Effective Field Theory

Cited by in corpus (7)

• Renormalization of Singular Potentials and Power Counting
• Lattice Monte Carlo calculations for unitary fermions in a finite box
• Lattice Monte Carlo calculations for unitary fermions in a harmonic trap
• Three and Four Harmonically Trapped Particles in an Effective Field Theory Framework
• Two and Three Nucleons in a Trap and the Continuum Limit
• On Parity-Violating Three-Nucleon Interactions and the Predictive Power of Few-Nucleon EFT at Very Low Energies
• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory