  The cross sections for the \nu-d and \bar{\nu}-d reactions are calculated for
the incident energy up to E_\nu = 170 MeV, with the use of a phenomenological
Lagrangian approach. We assess and improve the reliability of the employed
calculational method by examining the dependence of the results on various
input and approximations that go into the calculation. The main points of
improvements over the existing work are: (1) use of the "modern" NN potentials;
(2) use of the more accurate nucleon weak-interaction form factors; (3)
monitoring the strength of a vertex that governs the exchange-current
contribution, with the use of data on the related process, n+p\to d+\gamma. In
addition to the total cross sections, we present various differential cross
sections that are expected to be useful for the SNO and other experiments. In
the low energy regime relevant to the solar neutrinos, the newly calculated
total cross sections agree with the existing literature values. The origins of
slight differences found for higher energies are discussed. The ratio between
the neutral-current and charged-current reaction cross sections is found to be
extremely stable against any variations in the input of our calculation.
