Abstract
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 and charge form factors and Coulomb energy difference with hyperspherical radial transformations and with conventional - 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 - interaction.
NUCLEAR STRUCTURE , ; three-body forces introduced by unitary transformations; charge form factors and Coulomb energies calculated; five force models.
- Received 26 April 1976
DOI:https://doi.org/10.1103/PhysRevC.14.698
©1976 American Physical Society