Self-consistent K-matrix-model calculation for finite and superheavy nuclei

R. Y. Cusson, H. P. Trivedi, H. W. Meldner, M. W. Weiss, and R. E. Wright
Phys. Rev. C 14, 1615 – Published 1 October 1976
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Abstract

A model two-body K matrix is introduced which leads to simple Brueckner-Hartree-Fock equations similar to those resulting from Skyrme forces. The main features of the present model are determined by basic nuclear matter properties. Experimental nucleon removal energies for finite closed-shell nuclei are used as a criterion for setting the single-particle energy levels in our model. This is accomplished by parametrizing the Brueckner rearrangement potential which augments the single-particle potential producing single-particle level densities in better agreement with experiment than Skyrme-potential models or density matrix expansion theories. Good fits are also obtained to total binding energies, rms radii, and electron scattering form factors of the magic nuclei O16, Ca40, Zr90, Pb208. Extrapolated results for the magic superheavy nucleus 114298 are presented and discussed.

NUCLEAR STRUCTURE Nuclear matter; fitted Brueckner K-matrix model parameters, O16, Ca40, Ca48, Zr90, Pb208, 114298; computed, and compared with exp. Wtot, Rrms, Es.p., ρ(r), electron scattering data. Oscillator basis, self-consistent BHF method.

  • Received 23 February 1976

DOI:https://doi.org/10.1103/PhysRevC.14.1615

©1976 American Physical Society

Authors & Affiliations

R. Y. Cusson* and H. P. Trivedi*

  • Department of Physics, Duke University, Durham, North Carolina 27706
  • Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830

H. W. Meldner, M. W. Weiss, and R. E. Wright

  • Lawrence Livermore Laboratory, P.O.B. 808, Livermore, California 94550

  • *Work supported by the Army Research Office (Durham) and the National Science Foundation.
  • Work performed under the auspices of the U.S. Energy Research & Development Administration under Contract No. W-7405-Eng-48.

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Vol. 14, Iss. 4 — October 1976

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