Nucleon-nucleon scattering within a multiple subtractive renormalization approach

Abstract

A methodology to renormalize the nucleon-nucleon interaction, using a recursive multiple subtraction approach to construct the kernel of the scattering equation, is presented. We solve the subtracted scattering equation with the next-leading-order (NLO) and next-to-next-leading-order (NNLO) interactions. The results are presented for all partial waves up to $j=2$, fitted to low-energy experimental data. In our renormalizaton group invariant method, when introducing the NLO and NNLO interactions, the subtraction energy emerges as a renormalization scale and the momentum associated with it comes to be about the QCD scale (${\Lambda }_{QCD}$), irrespectively to the partial wave.

Final version

References in corpus (6)

• Renormalization of Singular Potentials and Power Counting
• Four-boson scale near a Feshbach resonance
• Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory
• Renormalization Group Analysis of Boundary Conditions in Potential Scattering
• More about the Wilsonian analysis on the pionless NEFT
• Trajectory of virtual, bound and resonant Efimov states