In relativistic Hamiltonians the two-nucleon interaction is expressed as a sum of $\tilde{ v}_{ ij}$, the interaction in the ${ \bf P}_{ ij}=0$ rest frame, and the ``boost interaction'' $\delta v({ \bf P}_{ ij})$ which depends upon the total momentum ${ \bf P}_{ ij}$ and vanishes in the rest frame. The $\delta v$ can be regarded as a sum of four terms: $\delta v_{ RE}$, $\delta v_{ LC}$, $\delta v_{ TP}$ and $\delta v_{ QM}$; the first three originate from the relativistic energy-momentum relation, Lorentz contraction and Thomas precession, while the last is purely quantum. The contributions of $\delta v_{ RE}$ and $\delta v_{ LC}$ have been previously calculated with the variational Monte Carlo method for $^3$H and $^4$He. In this brief note we report the results of similar calculations for the contributions of $\delta v_{ TP}$ and $\delta v_{ QM}$. These are found to be rather small.
Categories: nucl-th