Renormalization of chiral nuclear forces with multiple subtractions in peripheral channels

Abstract

We analyse the renormalization of the of two-nucleon interaction with multiple subtractions in peripheral waves considering two chiral forces at N3LO. Phase shifts at low energies are then computed with several subtraction points below μ= 10 / fm. We show that for most peripheral waves the phase shifts have nearly no dependence on the renormalization scale. In two cases the phase shifts converge slowly as the renormalization scale approaches μ= 1 / fm and in one case the phase shifts presented oscillations with respect to the subtraction point μ.

21 pages, 12 figures, to appear in the special issue "Few-Body Systems in High Energy Physics" (AHEP)

References in corpus (10)

• Chiral effective field theory and nuclear forces
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Renormalization of chiral two-pion exchange NN interactions. Momentum vs. coordinate space
• Renormalization of Singular Potentials and Power Counting
• Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory
• Subtractive renormalization of the NN interaction in chiral effective theory up to next-to-next-to-leading order: S waves
• Functional renormalisation group for two-body scattering
• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• The three dimensional calculations of NN bound and scattering states with chiral potential up to N3LO
• Low-momentum effective interaction in the three-dimensional approach