The cross sections for the nu -d and <(<nu>)over bar>-d reactions are calcu
lated for incident energy up to E-nu=170 MeV with the use of a phenomenolog
ical Lagrangian approach. We assess and improve the reliability of the empl
oyed calculational method by examining the dependence of the results on var
ious input and approximations that go into the calculation. The main points
of improvement over the existing work are (1) use of the "modern" NN poten
tials, (2) use of the more accurate nucleon weak-interaction form factors,
and (3) monitoring the strength of a vertex that governs the exchange-curre
nt contribution, with the use of data on the related process, n+p -->d+gamm
a. In addition to the total cross sections, we present various differential
cross sections that are expected to be useful for the SNO and other experi
ments. In the low-energy regime relevant to the solar neutrinos, the newly
calculated total cross sections essentially agree with the existing literat
ure values. The origins of slight differences found for higher energies are
discussed. The ratio between the neutral-current and charged-current react
ion cross sections is found to be extremely stable against any variations i
n the input of our calculation.