Nucleon-nucleon scattering with perturbative pions: The uncoupled $P$-wave channels

Abstract

The uncoupled $P$-wave channels of nucleon-nucleon scattering are studied in an effective field theory (EFT) including a perturbative dibaryon field and perturbative pions. Good agreement between EFT results and the Nijmegen partial wave analysis is observed up to a center-of-mass momentum $k\approx 400$ MeV. Using a method that combines renormalization and fitting together, the long-standing convergence problem of EFTs in these channels with perturbative pions, for momenta above the pion mass is addressed from a new perspective.

arXiv comment16 pages, 7 figures, 5 tables. This version corresponds to the published version within Phys. Rev. C. I have corrected a few typos and added two references

References in corpus (30)

• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• Nuclear effective field theory: status and perspectives
• Effective Field Theory for Short-Range Forces
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Renormalization of One-Pion Exchange and Power Counting
• Nucleon-Nucleon Scattering from Effective Field Theory
• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
• More Effective Field Theory for Nonrelativistic Scattering
• Generalized Dimensional Analysis
• A renormalisation-group treatment of two-body scattering
• Narrow Resonances in Effective Field Theory
• Renormalizing Chiral Nuclear Forces: Triplet Channels
• Quartet S Wave Neutron Deuteron Scattering in Effective Field Theory
• Renormalizing Chiral Nuclear Forces: A Case Study of 3P0
• The NN scattering 3S1-3D1 mixing angle at NNLO
• A momentum subtraction scheme for two--nucleon effective field theory
• Power Counting in Peripheral Partial Waves: The Singlet Channels
• The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
• Perturbative $NN$ scattering in chiral effective field theory
• On the convergence of nuclear effective field theory with perturbative pions
• Improved convergence of chiral effective field theory for 1S0 of NN scattering
• The Long and Short of Nuclear Effective Field Theory Expansions
• Naturalness in Nuclear Effective Field Theories
• Scheming in Dimensional Regularization
• Taking dibaryon fields seriously
• NNLO Calculation of Two-Nucleon Scattering in EFT for a Two Yukawa Toy Model
• Effective Field Theory with Dibaryon Fields: Nucleon-Nucleon amplitudes at NNLO
• Perturbative chiral nucleon-nucleon potential for the ${}^3{P}_0$ partial wave

Cited by in corpus (2)

• A further study on the renormalization group aspect of perturbative corrections
• Feasibility of perturbative generation of bound-states from resonances or virtual states