Three-body unitary transformations, three-body forces, and trinucleon bound state properties

Michael I. Haftel
Phys. Rev. C 14, 698 – Published 1 August 1976
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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 He3 and H3 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.

NUCLEAR STRUCTURE H3, He3; 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

Authors & Affiliations

Michael I. Haftel

  • Naval Research Laboratory, Washington, D. C. 20375

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Issue

Vol. 14, Iss. 2 — August 1976

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