Quantum Monte Carlo Studies of Relativistic Effects in Light Nuclei

Abstract

Relativistic Hamiltonians are defined as the sum of relativistic one-body kinetic energy, two- and three-body potentials and their boost corrections. In this work we use the variational Monte Carlo method to study two kinds of relativistic effects in the binding energy of 3H and 4He. The first is due to the nonlocalities in the relativistic kinetic energy and relativistic one-pion exchange potential (OPEP), and the second is from boost interaction. The OPEP contribution is reduced by about 15% by the relativistic nonlocality, which may also have significant effects on pion exchange currents. However, almost all of this reduction is canceled by changes in the kinetic energy and other interaction terms, and the total effect of the nonlocalities on the binding energy is very small. The boost interactions, on the other hand, give repulsive contributions of 0.4 (1.9) MeV in 3H (4He) and account for 37% of the phenomenological part of the three-nucleon interaction needed in the nonrelativistic Hamiltonians.

33 pages, RevTeX, 11 PostScript figures, submitted to Physical Review C

References in corpus (5)

• The equation of state for nucleon matter and neutron star structure
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Study of bound and scattering states in three-nucleon systems
• Weak capture of protons by protons
• A Momentum Transformation Connecting a NN Potential in the Nonrelativistic and the Relativistic Two-Nucleon Schroedinger Equation

Cited by in corpus (14)

• Quantum Monte Carlo Calculations of Light Nuclei
• Realistic models of pion-exchange three-nucleon interactions
• Modern nuclear force predictions for the alpha particle
• Recent Progress in Neutron Star Theory
• The alpha-particle based on modern nuclear forces
• Equivalence of Nonstatic Two-Pion-Exchange Nucleon-Nucleon Potentials
• Elastic e-d Scattering Data and the Deuteron Wave Function
• Two-Body Electrodisintegration of ${}^3$He at High Momentum Transfer
• Relativistic effects and three-body interactions in atomic nuclei
• Effects of Nonlocal One-Pion-Exchange Potential in Deuteron
• Phenomenological Lambda-Nuclear Interactions
• A relativistic calculation of the deuteron threshold electrodisintegration at backward angles
• Relativistic Corrections to the CBF Effective Nuclear Hamiltonian
• Toy model of the Nucleon - Nucleon potential