Recursive renormalization of the singlet one-pion-exchange plus point-like interactions

Abstract

The subtracted kernel approach is shown to be a powerful method to be implemented recursively in scattering equations with regular plus point-like interactions. The advantages of the method allows one to recursively renormalize the potentials, with higher derivatives of the Dirac-delta, improving previous results. The applicability of the method is verified in the calculation of the ${}^1{S}_0$ nucleon-nucleon phase-shifts, when considering a potential with one-pion-exchange plus a contact interaction and its derivatives. The ${}^1{S}_0$ renormalization parameters are fitted to the data. The method can in principle be extended to any derivative order of the contact interaction, to higher partial waves and to coupled channels.

12 pages, 3 figures

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Cited by in corpus (31)

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• Renormalizing Chiral Nuclear Forces: Triplet Channels
• Short-range nuclear forces in singlet channels
• Renormalization of Singular Potentials and Power Counting
• Leading order relativistic chiral nucleon-nucleon interaction
• Renormalizing Chiral Nuclear Forces: A Case Study of 3P0
• Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory
• How (not) to renormalize integral equations with singular potentials in effective field theory
• Subtractive renormalization of the NN interaction in chiral effective theory up to next-to-next-to-leading order: S waves
• Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves
• The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
• How to renormalize integral equations with singular potentials in effective field theory
• Taking dibaryon fields seriously
• Solutions of the bound state Faddeev-Yakubovsky equations in three dimensions by using NN and 3N potential models
• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• The renormalisation group and nuclear forces
• The nucleon-nucleon potential beyond the static approximation
• Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Nucleon-Nucleon scattering from the dispersive N/D method: next-to-leading order study
• Chiral potentials, perturbation theory, and the 1S0 channel of NN scattering
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
• Renormalization of chiral nuclear forces with multiple subtractions in peripheral channels
• Nucleon-nucleon scattering up to next-to-next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: peripheral phases
• Renormalization of the Off-shell chiral two-pion exchange NN interactions
• Effective range expansion in various scenarios of EFT($\notpi$)
• Renormalization group invariance in pionless effective field theory for the NN system
• Pions and Contacts at N4LO: Some details on the chiral nuclear force
• Fixed points of the SRG evolution and the on-shell limit of the nuclear force
• Renormalization of One-Pion Exchange in Higher Partial Waves in Chiral Effective Field Theory for Antinucleon-Nucleon System
• Fixed-Point Few-Body Hamiltonians in Quantum Mechanics