Variational Monte Carlo calculations of H-3 and He-4 with a relativistic Hamiltonian

Forest, J.L.; Pandharipande, V.R.; Carlson, J.; Schiavilla, R.

doi:10.1103/PhysRevC.52.576

Variational Monte Carlo calculations of H-3 and He-4 with a relativistic Hamiltonian

J.L. Forest
(
- Illinois U., Urbana
)
,
V.R. Pandharipande
(
- Illinois U., Urbana
)
,
J. Carlson
(
- Los Alamos
)
,
R. Schiavilla
(
- Jefferson Lab and
- Old Dominion U.
)

Aug, 1995

1 page

Published in:

Phys.Rev.C 52 (1995) 576-577

DOI:

10.1103/PhysRevC.52.576

Report number:

CEBAF-TH-94-31

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Abstract: (APS)

In relativistic Hamiltonians the two-nucleon interaction is expressed as a sum of ṽij, the interaction in the Pij=0 rest frame, and the ‘‘boost interaction’’ δv(Pij) which depends upon the total momentum Pij and vanishes in the rest frame. The δv can be regarded as a sum of four terms: δvRE, δvLC, δvTP, and δvQM; the first three originate from the relativistic energy-momentum relation, Lorentz contraction, and Thomas precession, while the last is purely quantum. The contributions of δvRE and δvLC have been previously calculated with the variational Monte Carlo method for H3 and He4. In this paper we report the results of similar calculations for the contributions of δvTP and δvQM. These are found to be rather small.