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The correlation relationship between the deuteron asymptotic normalizationconstant, $A_{S}$, and the triplet np scattering length, $a_{t}$, isinvestigated. It is found that 99.7% of the asymptotic constant $A_{S}$ isdetermined by the scattering length $a_{t}$. It is shown that the linearcorrelation relationship between the quantities $A_{S}^{-2}$ and $1/a_{t}$provides a good test of correctness of various models of nucleon-nucleoninteraction. It is revealed that, for the normalization constant $A_{S}$ andfor the root-mean-square deuteron radius $r_{d}$, the results obtained with theexperimental value recommended at present for the triplet scattering length$a_{t}$ are exaggerated with respect to their experimental counterparts. Byusing the latest experimental phase shifts of Arndt et al., we obtain, for thelow-energy scattering parameters ($a_{t}$, $r_{t}$, $P_{t}$) and for thedeuteron characteristics ($A_{S}$, $r_{d}$), results that comply well withexperimental data.Comment: 19 pages, 1 figure, To be published in Physics of Atomic Nucle

Correlation between the properties of the deuteron and the low-energy triplet parameters of neutron-proton scattering