Hypervirial approach to calculating expectation values of the many-body Hamiltonian

Journal Article · Mon May 01 04:00:00 EDT 1995 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.51.2326· OSTI ID:44670

Adam, R M ^[1]; Fiedeldey, H ^[2]

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1. Department of Physics, University of Natal, Private Bag X01, 3209 Scottsville (South Africa)
2. Department of Physics, University of South Africa, P.O. Box 392, 0001 Pretoria (South Africa)

We present a new method, based on the hypervirial operator, for calculating expectation values of many-body Hamiltonians for local velocity-independent potentials. Our approach enables us to calculate the contributions of different components of an interaction [e.g., tensor, one pion exchange part (OPEP)] to the binding energy when {ital all} components are acting. In particular, using the integro-differential equation approach we investigate the contributions of different components of realistic nucleon-nucleon potentials to the triton and {alpha} particle ground-state binding energies. Although the tensor force contributes the most to the expectation value of the potential energy, we find that its overall contribution to the binding energy is much reduced by its large contribution to the expectation value of the kinetic energy.

• OSTI ID: 44670
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 5 Vol. 51; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALPHA PARTICLES
BINDING ENERGY
DIFFERENTIAL EQUATIONS
EXPECTATION VALUE
GROUND STATES
HAMILTONIANS
KINETIC ENERGY
MANY-BODY PROBLEM
NUCLEON-NUCLEON POTENTIAL
POTENTIAL ENERGY
TENSOR FORCES
TRITONS