Rearranging Pionless Effective Field Theory

Abstract

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.

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

References in corpus (14)

• NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
• Precision Calculation of n+p->d+gamma Cross Section for Big-Bang Nucleosynthesis
• Improving the Convergence of NN Effective Field Theory
• Coulomb Effects in Low Energy Proton-Proton Scattering
• Effective Field Theory for Dilute Fermi Systems
• n+p -> d+gamma for Big-Bang Nucleosynthesis
• Quartet S Wave Neutron Deuteron Scattering in Effective Field Theory
• Higher Partial Waves in an Effective Field Theory Approach to nd Scattering
• Elastic and Inelastic Neutrino-Deuteron Scattering in Effective Field Theory
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• Deuteron Compton scattering below pion photoproduction threshold
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