TY - JOUR
T1 - NNLO corrections to nucleon-nucleon scattering and perturbative pions
AU - Fleming, Sean
AU - Mehen, Thomas
AU - Stewart, Iain W.
N1 - Funding Information:
S.F. was supported in part by NSERC and wishes to thank the Caltech theory group for their hospitality. T.M and I.W.S. were supported in part by the Department of Energy under grant numbers DE-FG03-92-ER 40701 and DOE-FG03-97ER40546.
PY - 2000/9/11
Y1 - 2000/9/11
N2 - 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.
AB - 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.
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U2 - 10.1016/S0375-9474(00)00221-9
DO - 10.1016/S0375-9474(00)00221-9
M3 - Article
AN - SCOPUS:0004538503
SN - 0375-9474
VL - 677
SP - 313
EP - 366
JO - Nuclear Physics A
JF - Nuclear Physics A
IS - 1-4
ER -