A class of nucleon-nucleon interactions which are exactly phase equiva
lent to a given realistic nucleon-nucleon interaction is exhibited. Th
ese interactions have the property that the rms radius of the deuteron
can be made arbitrarily large without changing the deuteron binding e
nergy or any of the nucleon-nucleon scattering matrix elements. With t
his construction it is possible to find realistic interactions that do
not obey the linear relation between the rms radius and the triplet s
cattering length observed by Klarsfeld et al.. The interpretation of t
his result is discussed.