  We investigate the variation with light quark mass of the mass of the nucleon
as well as the masses of the mesons commonly used in a one-boson-exchange model
of the nucleon-nucleon force. Care is taken to evaluate the meson mass shifts
at the kinematic point relevant to that problem. Using these results, the
corresponding changes in the energy of the 1 S0 anti-bound state, the binding
energies of the deuteron, triton and selected finite nuclei are evaluated using
a one-boson exchange model. The results are discussed in the context of
possible corrections to the standard scenario for big bang nucleosynthesis in
the case where, as suggested by recent observations of quasar absorption
spectra, the quark masses may have changed over the age of the Universe.
