Rearranging Pionless Effective Field Theory

Details Rearranging Pionless Effective Field Theory Rearranging Pionless Effective Field Theory

2000-11-17

arxiv.org/abs/nucl-th/0011067v2

Nucl.Phys. A694 (2001) 511-524

Physics

Nuclear Physics

Nuclear Theory

15 pages LaTeX, 9 eps figures, discussions extended and references added

Scientific paper

10.1016/S0375-9474(01)01088-0

We point out a redundancy in the operator structure of the pionless effective field theory 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, n p -> d gamma, and Compton scattering from the deuteron. 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.

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