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

J. L. Forest·V. R. Pandharipande·J. Carlson·R. Schiavilla
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Abstract

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'' $δv({\bf P}_{ij})$ which depends upon the total momentum ${\bf P}_{ij}$ and vanishes in the rest frame. The $δv$ can be regarded as a sum of four terms: $δv_{RE}$, $δv_{LC}$, $δv_{TP}$ and $δv_{QM}$; the first three originate from the relativistic energy-momentum relation, Lorentz contraction and Thomas precession, while the last is purely quantum. The contributions of $δv_{RE}$ and $δv_{LC}$ 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 $δv_{TP}$ and $δv_{QM}$. These are found to be rather small.

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J. L. Forest, V. R. Pandharipande, J. Carlson, R. Schiavilla. 1994-10-05. Variational Monte Carlo Calculations of $^3$H and $^4$He with a relativistic Hamiltonian - II. https://doi.org/10.1103/physrevc.52.576

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