Three-body unitary transformations, three-body forces, and trinucleon bound state properties. [Charge form factor, Coulomb energy difference]
A three-body unitary transformation method for the study of three-body forces is presented. Starting with a three-body Hamiltonian with two-body forces, unitary transformations are introduced to generate Hamiltonians that have both two- and three-body forces. For cases of physical interest, the two-body forces of the altered Hamiltonians are phase equivalent (for two-body scattering) to the original and the three-body force vanishes when any interparticle distance is large. Specific examples are presented. Applications for studying the possible role of three-body forces in accounting for trinucleon bound state properties are examined. Calculations of the /sup 3/He and /sup 3/H charge form factors and Coulomb energy difference with hyperspherical radial transformations and with conventional N-N potentials are performed. The form factor calculations demonstrate how the proposed method can help obtain improved agreement with experiment by the introduction of appropriate three-body forces. Calculations of the Coulomb energy difference confirm previous estimates concerning charge symmetry breaking in the N-N interaction. (AIP)
- Research Organization:
- Naval Research Laboratory, Washington, D. C. 20375
- OSTI ID:
- 7356162
- Journal Information:
- Phys. Rev., C; (United States), Vol. 14:2
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
HELIUM 3
THREE-BODY PROBLEM
NUCLEAR FORCES
TRITIUM
BOUND STATE
COULOMB ENERGY
FORM FACTORS
HAMILTONIANS
HILBERT SPACE
SYMMETRY BREAKING
UNITARY SYMMETRY
WAVE FUNCTIONS
BANACH SPACE
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
ENERGY
EVEN-ODD NUCLEI
FUNCTIONS
HELIUM ISOTOPES
HYDROGEN ISOTOPES
ISOTOPES
LIGHT NUCLEI
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
NUCLEI
ODD-EVEN NUCLEI
PARTICLE PROPERTIES
QUANTUM OPERATORS
RADIOISOTOPES
SPACE
STABLE ISOTOPES
SYMMETRY
YEARS LIVING RADIOISOTOPES
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