Renormalization of Proton-Proton Scattering and Proton-Proton Fusion with Chiral Two Pion Exchange: Regulator Independent Results.

Abstract

Abstract. The renormalization of the s-wave proton-proton scattering amplitude with chiral two-pion exchange is considered up to next-to-next-to-leading order in the chiral expansion. The resulting phase shifts accurately describe the s-wave phases up to k cm ≃ 200 MeV. The effect and possible improvements coming from finite cut-offs or spectral function regularization are considered. Proton-proton fusion is calculated with the resulting renormalized wave functions in a regulator independent way at next-to-next-to-leading order (N 2 LO).