Variational Monte Carlo calculations of H3 and He4 with a relativistic Hamiltonian

Phys. Rev. C 52, 576 – Published 1 August 1995
J. L. Forest, V. R. Pandharipande, J. Carlson, and R. Schiavilla


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.


  • Received 28 September 1994
  • Published in the issue dated August 1995

© 1995 The American Physical Society

Authors & Affiliations

J. L. Forest and V. R. Pandharipande

  • Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street Urbana, Illinois 61801

J. Carlson

  • Theoretical Division, Los Alamos National Laboratory, MS B238, Los Alamos, New Mexico 87545

R. Schiavilla

  • CEBAF Theory Group, 12000 Jefferson Avenue, Newport News, Virginia 23606
  • Department of Physics, Old Dominion University, Norfolk, Virginia 23529

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