Renormalization of the one-pion-exchange interaction

Abstract

A renormalization scheme for the nucleon-nucleon (NN) interaction based on a subtracted T-matrix equation is proposed and applied to the one-pion-exchange potential supplemented by contact interactions. The singlet and triplet scattering lengths are given to fix the renormalized strengths of the contact interactions. With only one scaling parameter ($\mu$), the results show an overall very good agreement with neutron-proton data, particularly for the observables related to the triplet channel. The agreement is qualitative in the ${}^1{S}_0$ channel. Between the low-energy NN observables we have examined, the mixing parameter of the ${}^3{S}_1{-}^3{D}_1$ states is the most sensible to the scale. The scheme is renormalization group invariant for $\mu \to \infty$.

16 pages, 4 eps figures, to appear in Nuclear Physics A

References in corpus (4)

• A New Expansion for Nucleon-Nucleon Interactions
• Effective theory for the two-nucleon system
• A momentum subtraction scheme for two--nucleon effective field theory
• Low-momentum effective theory for nucleons

Cited by in corpus (71)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Effective Field Theory for Few-Nucleon Systems
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Nuclear effective field theory: status and perspectives
• Renormalization of One-Pion Exchange and Power Counting
• Towards a Perturbative Theory of Nuclear Forces
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Central Phases and the Deuteron
• Regularization, renormalization and "peratization" in effective field theory for two nucleons
• Perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering
• Renormalizing Chiral Nuclear Forces: Triplet Channels
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Non-Central Phases
• Renormalization of the Deuteron with One Pion Exchange
• Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
• Short-range nuclear forces in singlet channels
• Renormalization of chiral two-pion exchange NN interactions. Momentum vs. coordinate space
• Renormalization of Singular Potentials and Power Counting
• Leading order relativistic chiral nucleon-nucleon interaction
• Four-boson scale near a Feshbach resonance
• 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
• Renormalization of Singlet NN-Scattering with One Pion Exchange and Boundary Conditions
• The three-body problem with short-range forces: renormalized equations and regulator-independent results
• Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves
• Scaling limit of virtual states of triatomic systems
• Renormalization of NN-Scattering with One Pion Exchange and Boundary Conditions
• Recursive renormalization of the singlet one-pion-exchange plus point-like interactions
• Renormalization Group Analysis of Boundary Conditions in Potential Scattering
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
• Infinite-cutoff renormalization of the chiral nucleon-nucleon interaction at N3LO
• Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter
• How to renormalize integral equations with singular potentials in effective field theory
• Nuclear forces from chiral EFT: The unfinished business
• 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
• Nucleon-nucleon interaction in chiral EFT with a finite cutoff: explicit perturbative renormalization at next-to-leading order
• The renormalisation group and nuclear forces
• Renormalization of the 1S0 One-Pion-Exchange NN Interaction in Presence of Derivative Contact Interactions
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• The nucleon-nucleon potential beyond the static approximation
• The exact discontinuity of a partial wave along the left-hand cut and the exact $N/D$ method in non-relativistic scattering
• Nuclear Effective Field Theories: Reverberations of the early days
• Nucleon-Nucleon Interactions from Dispersion Relations: Coupled Partial Waves
• Renormalization of chiral two-pion exchange NN interactions with Delta-excitations: Central Phases and the Deuteron
• Renormalization of $NN$ scattering: contact potential
• The N/D method with non-perturbative left-hand-cut discontinuity and the ${}^1{S}_0$ $NN$ partial wave
• Nucleon-Nucleon scattering from the dispersive N/D method: next-to-leading order study
• Renormalization of an effective Light-Cone QCD-inspired theory for the Pion and other Mesons
• 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
• Two-pion exchange as a leading-order contribution in chiral effective field theory
• Dynamical symmetry breaking of $\lambda {\varphi }^4$ in two loop effective potential
• Gauge invariance in the presence of a cutoff
• Renormalization of chiral nuclear forces with multiple subtractions in peripheral channels
• Non-perturbative methods for NN singular interactions
• 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
• A nonperturbative parametrization and scenario for EFT renormalization
• A Padé-aided analysis of nonperturbative $NN$ scattering in ${}^1{S}_0$ channel
• $NN$ scattering in ${}^3{S}_1{-}^3{D}_1$ channels of EFT ($/\pi$)
• Renormalization of One-Pion Exchange in Chiral Effective Field Theory for Antinucleon-Nucleon Scattering
• Padé expansion and the renormalization of nucleon-nucleon scattering
• 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
• Padé expansion and nucleon-nucleon scattering in coupled channels
• Renormalization of One-Pion Exchange in Higher Partial Waves in Chiral Effective Field Theory for Antinucleon-Nucleon System