Comparison of Regularization Methods for Nucleon-Nucleon Effective Field Theory
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 1998
- DOI:
- 10.48550/arXiv.nucl-th/9807022
- arXiv:
- arXiv:nucl-th/9807022
- Bibcode:
- 1998nucl.th...7022S
- Keywords:
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- Nuclear Theory
- E-Print:
- 15 pages, 10 figures, uses sprocl.sty, contribution to the Caltech/INT Workshop: "Nuclear Physics with Effective Field Theories"