Perturbative chiral nucleon-nucleon potential for the ${}^3{P}_0$ partial wave

Abstract

We study perturbativeness of chiral nuclear forces in the ${}^3{P}_0$ channel. In previous works, the focus has been on one-pion exchange, and the applicable window of perturbative pion exchanges has been shown to span from threshold to the center-of-mass momentum $k\simeq$ 180 MeV. We will examine, instead, whether cancellation of short and long-range parts can sufficiently soften the ${}^3{P}_0$ chiral force to make it more amenable to perturbation theory. The result is encouraging, as the combined ${}^3{P}_0$ force is shown to be perturbative up to $k\simeq$ 280 MeV, covering many nuclear-structure calculations.

References in corpus (20)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Effective Field Theory for Few-Nucleon Systems
• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Renormalization of One-Pion Exchange and Power Counting
• NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
• Updated analysis of NN elastic scattering to 3 GeV
• Power counting with one-pion exchange
• Reconciling threshold and subthreshold expansions for pion-nucleon scattering
• Perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering
• Renormalizing Chiral Nuclear Forces: Triplet Channels
• Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
• Short-range nuclear forces in singlet channels
• Renormalization of Singular Potentials and Power Counting
• Renormalizing Chiral Nuclear Forces: A Case Study of 3P0
• Partial-Wave Analysis of Nucleon-Nucleon Elastic Scattering Data
• Perturbative $NN$ scattering in chiral effective field theory
• Renormalization of chiral two pion exchange NN interactions with delta excitations: correlations in the partial wave expansion

Cited by in corpus (10)

• Power counting in chiral effective field theory and nuclear binding
• Contact operators in renormalization of attractive singular potentials
• Perturbative computations of neutron-proton scattering observables using renormalization-group invariant $\chi$EFT up to N${}^3$LO
• A further study on the renormalization group aspect of perturbative corrections
• Renormalization of proton-proton fusion in chiral effective field theory
• Low-energy theorems for neutron-proton scattering in $\chi$EFT using a perturbative power counting
• Perturbative renormalization of chiral nuclear forces at subleading order in 3S1-3D1 channel
• Feasibility of perturbative generation of bound-states from resonances or virtual states
• Nucleon-nucleon scattering with perturbative pions: The uncoupled $P$-wave channels
• Perturbative $\chi$EFT calculations of the deuteron and triton up to N${}^2$LO