Application of the three-body model to the reactions Li6(He3,tHe3)He3 and Li6(He3, He3He3)H3

M. I. Haftel, R. G. Allas, L. A. Beach, R. O. Bondelid, E. L. Petersen, Ivo Šlaus, J. M. Lambert, and P. A. Treado
Phys. Rev. C 16, 42 – Published 1 July 1977
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Abstract

Experimental and theoretical cross sections are presented for the Li6(He3, He3He3)H3 and Li6(He3,tHe3)He3 reactions for the symmetric angle pairs 20°-20°, 28.3°-28.3°, and 35°-35°. The theoretical cross sections are calculated in a three-body model where the trions (i.e., mass-3 nuclei) are treated as elementary particles with Li6 being a He3-H3 bound state. The trion-trion interaction is represented by S wave separable potentials with the breakup cross sections calculated with the three-body Haftel-Ebenhöh code. the Coulomb interaction is taken into account by fitting the separable potential parameters to the trion-trion scattering data and is included approximately in the breakup code. The experimental cross sections are compared with both the plane-wave impulse approximation and the three-body model predictions. The plane-wave impulse approximation predicts both the shapes and magnitudes poorly (10 to 20 times experiment). Without Coulomb corrections the three-body model gives good agreement with experiment for the shapes of the spectra with the magnitudes generally being about 40% of experiment for Li6(He3, He3He3)H3 and about 80% for Li6(He3,tHe3)He3. The Coulomb corrections improve the magnitudes predicted by the three-body model but not the shapes. It is observed that for these reactions S wave separable potentials describe the breakup data much better than they do the two-body trion-trion scattering data. This result should encourage further three-body treatment of these and similar reactions.

[NUCLEAR REACTIONS Li6(He3, He3He3)H3, Li6(He3,tHe3)He3, E=45 MeV, tractable Faddeev calculations σ(E,θ1θ2), Coulomb corrections.]

  • Received 11 March 1977

DOI:https://doi.org/10.1103/PhysRevC.16.42

©1977 American Physical Society

Authors & Affiliations

M. I. Haftel, R. G. Allas, L. A. Beach, R. O. Bondelid, and E. L. Petersen

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

Ivo Šlaus

  • Institute Ruder Bosković, Zagreb, Yugoslavia
  • Naval Research Laboratory, Washington, D. C. 20375

J. M. Lambert and P. A. Treado

  • Georgetown University, Washington, D. C. 20007
  • Naval Research Laboratory, Washington, D. C. 20375

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Vol. 16, Iss. 1 — July 1977

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