Renormalization of ${}^1S_0$ NN scattering amplitude in effective field theory

Details Renormalization of ${}^1S_0$ NN scattering amplitude in effective field theory Renormalization of ${}^1S_0$ NN scattering amplitude in effective field theory

2001-08-02

arxiv.org/abs/nucl-th/0108005v1

Phys.Lett. B517 (2001) 476-482

Physics

Nuclear Physics

Nuclear Theory

6 pages, no figures, to be published in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(01)00981-9

Cutoff regularized subleading order ${}^1S_0$ NN potential of effective field theory (EFT) is iterated using Lippmann-Schwinger equation. It is shown that the scattering amplitudes calculated in cutoff and subtractively renormalized EFT are equal up to the accuracy of performed calculations. Non-perturbative renormalization, where part of divergences are absorbed into two contact interaction coupling constants with subsequent removal of regularization is also performed. Cutoff and dimensional regularizations both lead to finite but different results within this scheme.

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