Quantum Monte Carlo studies of relativistic effects in light nuclei

Journal Article · Fri May 01 04:00:00 EDT 1998 · Phys.Rev. C60 (1999) 014002

OSTI ID:755931

Forest, J L; Pandharipande, V R; Arriaga, A

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 the authors use the variational Monte Carlo method to study two kinds of relativistic effects in the binding energy of {sup 3}H and {sup 4}He. 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 {sup 3}H ({sup 4}He) and account for 37% of the phenomenological part of the three-nucleon interaction needed in the nonrelativistic Hamiltonians.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (US)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC05-84ER40150
• OSTI ID: 755931
• Report Number(s): DOE/ER/40150-1501; JLAB-THY-98-17; nucl-th/9805033
• Journal Information: Phys.Rev. C60 (1999) 014002, Journal Name: Phys.Rev. C60 (1999) 014002 Journal Issue: 60 Vol. C; ISSN 014002
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
HAMILTONIANS
HYDROGEN 4
MONTE CARLO METHOD
OPE POTENTIAL
RELATIVITY THEORY
TRITIUM