Rearranging pionless effective field theory
β Scribed by Silas R. Beane; Martin J. Savage
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 218 KB
- Volume
- 694
- Category
- Article
- ISSN
- 0375-9474
No coin nor oath required. For personal study only.
β¦ Synopsis
We point out a redundancy in the operator structure of the pionless effective field theory, EFT(/ Ο), which dramatically simplifies computations. This redundancy is best exploited by using dibaryon fields as fundamental degrees of freedom. In turn, this suggests a new power counting scheme which sums range corrections to all orders. We explore this method with a few simple observables: the deuteron charge form factor, np β dΞ³, and Compton scattering from the deuteron. Unlike EFT(/ Ο), the higher-dimension operators involving electroweak gauge fields are not renormalized by the s-wave strong interactions, and therefore do not scale with inverse powers of the renormalization scale. Thus, naive dimensional analysis of these operators is sufficient to estimate their contribution to a given process. ο 2001 Published by Elsevier Science B.V.
π SIMILAR VOLUMES
Doublet d scattering and the hypertriton are studied in the framework of an effective field theory for large scattering lengths. As in the triton case, consistent renormalization requires a one-parameter three-body force at leading order whose renormalization group evolution is governed by a limit c