Variational Monte Carlo Calculations of $^3$H and $^4$He with a relativistic Hamiltonian - II

Details Variational Monte Carlo Calculations of $^3$H and $^4$He with a relativistic Hamiltonian - II Variational Monte Carlo Calculations of $^3$H and $^4$He with a relativistic Hamiltonian - II

1994-10-05

arxiv.org/abs/nucl-th/9410013v1

Physics

Nuclear Physics

Nuclear Theory

7 pages, P-94-09-079

Scientific paper

10.1103/PhysRevC.52.576

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.

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