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NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
Sean Fleming, Thomas Mehen, Iain W. Stewart
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, 3P1…
Conformal Invariance for Non-Relativistic Field Theory
Thomas Mehen, Iain W. Stewart, Mark B. Wise
Momentum space Ward identities are derived for the amputated n-point Green's functions in 3+1 dimensional non-relativistic conformal field theory. For n=4 and 6 the implications fo…
Nucleon-Nucleon Effective Field Theory at NNLO: Radiation Pions and 1S0 Phase Shift
Thomas Mehen, Iain W. Stewart
Low energy phenomena involving two nucleons can be successfully described using effective field theory. Because of the relatively large expansion parameter, it is only at next-to-n…
The NN scattering 3S1-3D1 mixing angle at NNLO
Sean Fleming, Thomas Mehen, Iain W. Stewart
The 3S1-3D1 mixing angle for nucleon-nucleon scattering, epsilon_1, is calculated to next-to-next-to-leading order in an effective field theory with perturbative pions. Without pio…
Wigner symmetry in the limit of large scattering lengths
Thomas Mehen, Iain W. Stewart, Mark B. Wise
We note that in the limit where the NN 1S0 and 3S1 scattering lengths, a^(1S0) and a^(3S1), go to infinity, the leading terms in the effective field theory for strong NN interactio…
Radiation pions in two-nucleon effective field theory
Thomas Mehen, Iain W. Stewart
For interactions involving two or more nucleons it is useful to divide pions into three classes: potential, radiation, and soft. The momentum threshold for the production of radiat…