Coupling between a deuteron and a lattice
Abstract
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 -directed motion given by .
Cite
@article{arxiv.1204.2159,
title = {Coupling between a deuteron and a lattice},
author = {P. L. Hagelstein and I. U. Chaudhary},
journal= {arXiv preprint arXiv:1204.2159},
year = {2012}
}