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

TL;DR

This paper provides effective range expansions for neutron-proton scattering and introduces relativistic deuteron wave functions derived from high-precision fits to experimental data, facilitating various nuclear physics applications.

Contribution

It offers new analytical forms of relativistic deuteron wave functions compatible with high-precision np scattering data, along with effective range expansions.

Findings

Effective range expansions for 1S_0 and 3S_1 phase shifts.

Relativistic deuteron wave functions with correct asymptotic behavior.

A Fortran subroutine for wave function computation.

Abstract

We present the effective range expansions for the 1S_0 and 3S_1 scattering phase shifts, and the relativistic deuteron wave functions that accompany our recent high precision fits (with chi^2/N{data} approx 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.