  The correlation relationship between the deuteron asymptotic normalization
constant, $A_{S}$, and the triplet np scattering length, $a_{t}$, is
investigated. It is found that 99.7% of the asymptotic constant $A_{S}$ is
determined by the scattering length $a_{t}$. It is shown that the linear
correlation relationship between the quantities $A_{S}^{-2}$ and $1/a_{t}$
provides a good test of correctness of various models of nucleon-nucleon
interaction. It is revealed that, for the normalization constant $A_{S}$ and
for the root-mean-square deuteron radius $r_{d}$, the results obtained with the
experimental value recommended at present for the triplet scattering length
$a_{t}$ are exaggerated with respect to their experimental counterparts. By
using the latest experimental phase shifts of Arndt et al., we obtain, for the
low-energy scattering parameters ($a_{t}$, $r_{t}$, $P_{t}$) and for the
deuteron characteristics ($A_{S}$, $r_{d}$), results that comply well with
experimental data.
