Correlation Between the Deuteron Characteristics and the Low-energy Triplet np Scattering Parameters
Abstract
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
−2
S
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.