NNLO corrections to nucleon-nucleon scattering and perturbative pions
The 1S0, 3S1, and 3D1 nucleon-nucleon scattering phase shifts are calculated at next-to-next-to-leading order (NNLO) in an effective field theory. Predictions for the 1P1, 3P0,1,2, 1D2, and 3D2,3 phase shifts at this order are also compared with data. The calculations treat pions perturbatively and include the NNLO contributions from order Qr3 and Qr4 radiation pion graphs. In the 3S1, 3D1 and 3P0,2 channels we find large disagreement with the Nijmegen partial-wave analysis at NNLO. These spin triplet channels have large corrections from graphs with two potential pion exchange which do not vanish in the chiral limit. We compare our results to calculations within the Weinberg approach, and find that in some spin triplet channels the summation of potential pion diagrams seems to be necessary to reproduce the observed phase shifts. In the spin singlet channels the nonperturbative treatment of potential pions does not afford a significant improvement over the perturbative approach. © 2000 Elsevier Science B.V.
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- Nuclear & Particles Physics
- 5107 Particle and high energy physics
- 5106 Nuclear and plasma physics
- 5101 Astronomical sciences
- 0206 Quantum Physics
- 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
- 0201 Astronomical and Space Sciences
Citation
Published In
DOI
ISSN
Publication Date
Volume
Issue
Start / End Page
Related Subject Headings
- Nuclear & Particles Physics
- 5107 Particle and high energy physics
- 5106 Nuclear and plasma physics
- 5101 Astronomical sciences
- 0206 Quantum Physics
- 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
- 0201 Astronomical and Space Sciences