## Abstract

Calculations are carried out concerning the magnetic moment of the deuteron, the scattering of neutrons with energies up to 20 MeV by protons and the photodisintegration of deuterons by high energy (17 to 20 MeV) $\gamma $-rays assuming various non-central interactions between neutron and proton of the form $\scr{V}= \matrix\format\l \\ -\frac{1}{3}\boldsymbol{\tau}_{1}\cdot \boldsymbol{\tau}_{2} \\ -\frac{1}{2}(1+\boldsymbol{\tau}_{1}\cdot \boldsymbol{\tau}_{2}) \\ \quad \ \ \,1 \endmatrix \big\{- \frac{\hslash ^{2}}{M}\frac{a}{r_{2}^{0}}\left[1+\frac{1}{2}g(\boldsymbol{\sigma}_{1}\cdot \boldsymbol{\sigma}_{2}-1)+\gamma \left(\frac{3\boldsymbol{\sigma}_{1}\cdot {\bf r}\boldsymbol{\sigma}_{2}\cdot {\bf r}}{r^{2}}-\boldsymbol{\sigma}_{1}\cdot \boldsymbol{\sigma}_{2}\right)\right]\big\}\ V(r/r_{0})$, where $\boldsymbol{\sigma}_{1}$, $\boldsymbol{\sigma}_{2}$, $\boldsymbol{\tau}_{1}$, $\boldsymbol{\tau}_{2}$ are the spin and isotopic spin operators of the particles, r the distance between them. For three 'shape' functions V (spherical well, exponential and Yukawa forms) the constants a, g, $\gamma $ are determined for different values of the range r$_{0}$, so as to give correctly the binding energy of the ground state, and the quadrupole moment, of the deuteron and the low velocity neutron-proton cross-section. Calculations are then carried out for chosen values of r$_{0}$ and the three forms of the exchange operator for each shape. A comparison is made of the ranges derived from different data for each of the shapes considered.