Shell structure of the A=6 ground states from three-body dynamics

D. R. Lehman and W. C. Parke
Phys. Rev. C 28, 364 – Published 1 July 1983
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Abstract

Three-body (αNN) models of the He6 and Li6 ground states are used to investigate their shell structure. Three models for each nucleus are considered: simple, full (nn), and full (np) for He6, and simple, full (0%), and full (4%) for Li6. The full models in both cases are obtained by including the S12, P12, and P32 partial waves of the αN interaction, whereas the simple model truncates to only the strongly resonant P32 wave. The He6 full models distinguish between use of the nn or np parameters for the S01 NN interaction, while the Li6 full models have either a pure S13 NN interaction (0%) or a S13D13 interaction that leads to a 4% d-wave component in the deuteron (4%). These models are used to calculate the probabilities of the orbital components of the wave functions, the configuration-space single-particle orbital densities, and the configuration-space two-particle wave function amplitudes in jj coupling with the nucleon coordinates referred to the alpha particle as the "core" or "center of force." The results are then compared with those from phenomenological and realistic-interaction shell models. Major findings of the comparison are the following: None of the shell models considered have a distribution of orbital probabilities across shells like that predicted by three-body models; the orbital rms radii from three-body models indicate an ordering of the orbits within shells, i.e., p12 outside p32, unlike oscillator shell models with a single oscillator parameter where the p-shell orbitals have the same shape; and, as expected, three-body orbital densities decay at large radial distances as exponentials rather than the too compact Gaussian falling off of oscillator shell models.

NUCLEAR STRUCTURE He6 and Li6, three-body models, shell structure.

  • Received 17 January 1983

DOI:https://doi.org/10.1103/PhysRevC.28.364

©1983 American Physical Society

Authors & Affiliations

D. R. Lehman and W. C. Parke

  • Department of Physics, The George Washington University, Washington, D. C. 20052

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Vol. 28, Iss. 1 — July 1983

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