Shell-Model Calculations for A=18,19, and 20 Nuclei with Core Excitation Included Explicity

J. B. McGrory and B. H. Wildenthal
Phys. Rev. C 7, 974 – Published 1 March 1973
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Abstract

Eigenvalues and eigenvectors for all low-lying positive- and negative-parity nuclear states of A=18,19, and 20 are calculated in a shell-model basis of all Pauli-allowed 0p120d521s12 configurations outside an inert C12 core. Two different effective Hamiltonians are used. One is based on a reaction matrix treatment of the Hamada-Johnston potential. The second one is obtained by varying the 33 effective Hamiltonian matrix elements to reach a least-squares fit between 153 experimental level energies in nuclei in the A=1322 region and the corresponding shell-model eigenvalues. The energy level spectra and single-nucleon spectroscopic factors from these calculations are compared to the available experimental data in this region. The calculations are also examined for the existence and characteristics of sequences of levels which might be called "rotational bands."

  • Received 25 October 1972

DOI:https://doi.org/10.1103/PhysRevC.7.974

©1973 American Physical Society

Authors & Affiliations

J. B. McGrory*

  • Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830

B. H. Wildenthal

  • Cyclotron Laboratory, Department of Physics, Michigan State University, East Lansing, Michigan 48823

  • *Research sponsored in part by the U. S. Atomic Energy Commission under contract with Union Carbide Corporation.
  • Research supported in part by the U. S. National Science Foundation.

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Vol. 7, Iss. 3 — March 1973

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