Covariant spectator theory of np scattering: Effective range expansions and relativistic deuteron wave functions

Abstract

We present the effective range expansions for the 1S0 and 3S1 scattering phase shifts, and the relativistic deuteron wave functions that accompany our recent high precision fits (with χ2/Ndata ≃ 1) to the 2007 world np data below 350 MeV. The wave functions are expanded in a series of analytical functions (with the correct asymptotic behavior at both large and small arguments) that can be Fourier-transformed from momentum to coordinate space and are convenient to use in any application. A FORTRAN subroutine to compute these wave functions can be obtained from the authors.