Valence-core self-consistency in the A=17 system

J. P. Vary, R. H. Belehrad, and R. J. McCarthy
Phys. Rev. C 21, 1626 – Published 1 April 1980
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Abstract

We develop a systematic approach to the calculation of self-consistency effects in core plus valence nucleon systems. A detailed calculation of the effective one-body Hamiltonian for A=17 in an 11Ω model space is readily extrapolated to a 20Ω model space which is sufficient to develop accurate tails for the single-particle wave functions. The effective one-body interaction is found using a Brillouin-Wigner type perturbation theory which eliminates folded diagrams and leads to a manifestly Hermitian interaction. A renormalized Brueckner calculation is performed for A=16 and the results are employed in a shell-model study of A=17. The self-consistent results still have a weak dependence on the initial unperturbed Hamiltonian. However, we find a single unperturbed Hamiltonian which yields a reasonable binding energy for A=16 and, except for a weak spin-orbit splitting, reasonable results for the lowest states in the A=17 system. This agreement is important for continued valence sd shell studies.

NUCLEAR STRUCTURE Brueckner theory, self-consistency effects, O17 spectra and wave functions, O16 properties.

  • Received 27 August 1979

DOI:https://doi.org/10.1103/PhysRevC.21.1626

©1980 American Physical Society

Authors & Affiliations

J. P. Vary and R. H. Belehrad

  • Ames Laboratory-DOE and Department of Physics, Iowa State University, Ames, Iowa 50011

R. J. McCarthy*

  • Kent State University, Ashtabula Campus, Ashtabula, Ohio 44004 and Ames Laboratory-DOE, Iowa State University, Ames, Iowa 50011

  • *Permanent address.

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Issue

Vol. 21, Iss. 4 — April 1980

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