NNLO Calculation of Two - Nucleon Scattering in an Effective Field Theory for a Two Yukawa Toy Model Gautam
نویسنده
چکیده
The effective field theory (EFT) for a toy model of nucleons interacting via a short range and a long range Yukawa potential is presented. The scattering amplitude in the S0 channel is calculated up to next-to-next-to-leading order (NNLO) using the Kaplan-Savage-Wise (KSW) power counting scheme. A particular expansion of the amplitude about the pole at low (imaginary) momentum is used to derive matching conditions for the EFT couplings. In addition, after imposing constraints from a Renormalization Group flow analysis, there are no new free parameter in the amplitude at NNLO. Comparing the NNLO phase shift to the full model we show that the EFT expansion is converging.
منابع مشابه
NNLO Calculation of Two - Nucleon Scattering in EFT for a Two Yukawa Toy Model
The effective field theory (EFT) for a toy model of nucleons interacting via a short range and a long range Yukawa potential is presented. The scattering amplitude in the S0 channel is calculated up to NNLO using KSW power counting scheme. A particular expansion of the amplitude about the pole at low (imaginary) momentum is used to derive matching conditions on the EFT couplings. In addition, a...
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