  We recently put forth a new fundamental lattice Hamiltonian based on an
underlying picture of electrons and deuterons as elementary Dirac particles.
Within this model there appears a term in which lattice vibrations are coupled
to internal nuclear transitions. This is interesting as it has the potential to
provide a connection between experiment and models that describe coherent
energy transfer between two-level systems and an oscillator. In this work we
describe a calculation of the coupling matrix element in the case of the
deuteron based on the old empirical Hamada-Johnston model for the
nucleon-nucleon interaction. The triplet S and D states of the the deuteron in
the rest frame couples to a singlet P state through this new interaction. The
singlet P state in this calculation is a virtual state with an energy of 125
MeV, and a coupling matrix element for $z$-directed motion given by $2.98
\times 10^{-3} ~M_J c \hat{P}_z$.
