Next-to-next-to-leading-order calculation of two-nucleon scattering in an effective field theory
Journal Article
·
· Physical Review, C
- Department of Physics, University of Washington, Seattle, Washington 98195 (United States)
We use effective field theory (EFT) to calculate the nucleon-nucleon scattering amplitude up to next-to-next-to-leading order (NNLO), where we include instantaneous pion exchange but ignore retardation effects. The scattering amplitude in the {sup 1}S{sub 0} channel is calculated using the Kaplan-Savage-Wise power counting scheme. An expansion of the amplitude about the pole at low (imaginary) momentum is used to derive matching conditions for the EFT couplings. After imposing constraints from a renormalization group flow analysis, there are no new free parameters in the amplitude at NNLO. We apply the calculation to a toy model in which there is only instantaneous pion exchange by construction, namely, the two-Yukawa model. We find that, through next-to-next-to-leading order, each successive term in the low energy expansion does systematically improve the approximation to the full amplitude. {copyright} {ital 1999} {ital The American Physical Society}
- OSTI ID:
- 688052
- Journal Information:
- Physical Review, C, Journal Name: Physical Review, C Journal Issue: 5 Vol. 60; ISSN 0556-2813; ISSN PRVCAN
- Country of Publication:
- United States
- Language:
- English
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