Abstract
Nucleon-nucleon scattering in the 1 S 0 partial wave is considered in chiral effective field theory within the recently suggested renormalizable formulation based on the Kadyshevsky equation. Contact interactions are taken into account beyond the leading-order approximation. The subleading contact terms are included non-perturbatively by means of subtractive renormalization. The dependence of the phase shifts on the choice of the renormalization condition is discussed. Perturbative inclusion of the subleading contact interaction is found to be justified only very close to threshold. The low-energy theorems are reproduced significantly better compared with the leading order results.
Highlights
A novel formulation of the NN scattering problem in EFT has been suggested in Refs. [1,2,3,4]
Nucleon-nucleon scattering in the 1S 0 partial wave is considered in chiral effective field theory within the recently suggested renormalizable formulation based on the Kadyshevsky equation
One of the advantages of such an approach is that ultraviolet divergences reproduce the ones that appear in covariant Feynman diagrams, i.e. there exist only logarithmic or even-power divergences
Summary
A novel formulation of the NN scattering problem in EFT has been suggested in Refs. [1,2,3,4]. The integral equation based on the leading-order potential, which consists of the momentum- and energy-independent contact interaction and the one-pion-exchange potential, possesses only logarithmic divergences and is renormalizable The present approach is alternative to the standard non-relativistic EFT approach based on the Lippmann-Schwinger equation [6, 7] where one necessarily has to introduce a cut off regulator of the order of the hard scale [8, 9]. [11] in the scheme with an explicit dibaryon field In this talk we report on the results for the 1S0 phase shifts calculated both with perturbative and non-perturbative inclusion of the next-to-leading-order (NLO) contact interaction and make the comparison between the two options
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