  The cross sections for the M1-capture n + p -> D + gamma, the photo-magnetic
and anti-neutrino disintegration of the deuteron are evaluated in the
relativistic field theory model of the deuteron (RFMD). The cross section for
M1-capture is evaluated by taking into account the contributions of chiral
one-meson loop corrections and the Delta(1232) resonance. The cross sections
for the photo-magnetic and anti-neutrino disintegration of the deuteron are
evaluated by accounting for final-state interaction of the nucleon pair in the
spinsinglet S-wave state. The amplitudes of low-energy elastic np and nn
scattering contributing to these processes are obtained in terms of the S-wave
scattering lengths and the effective ranges. This relaxes substantially the
statement by Bahcall and Kamionkowski (Nucl. Phys. A625 (1997) 893) that the
RFMD is unable to describe a non-zero effective range for low-energy elastic
nucleon-nucleon scattering. The cross sections for the anti-neutrino
disintegration of the deuteron averaged over the anti-neutrino energy spectrum
agree good with experimental data.
