1998/07/07 by James V. Steele, Steele, James V.
Engineering · Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics #Superconducting Materials and Applications #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/9807022
15 pages, 10 figures, uses sprocl.sty, contribution to the Caltech/INT Workshop: "Nuclear Physics with Effective Field Theories"
arxiv created 1998/07/07 · openalex publication_date 1998/07/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The characteristics of a meaningful effective field theory (EFT) analysis are discussed and compared with traditional approaches to NN scattering. A key feature of an EFT treatment is a systematic expansion in powers of momentum, which is demonstrated using an error analysis introduced by Lepage. A clear graphical determination of the radius of convergence for the momentum expansion is also obtained. I use these techniques to compare cutoff regularization, two forms of dimensional regularization, and the dibaryon approach, using a simple model for illustration. The naturalness of the parameters and predictions for other observables are also shown.