Mean-field calculation of compressed finite nuclei with Δ excitations

Phys. Rev. C 56, 3063 – Published 1 December 1997
Mahmoud A. Hasan, T.-S. H. Lee, and James P. Vary


The energies and matter densities of finite nuclei under radial compression are predicted by using a constrained Hartree-Fock method with the Δ degree of freedom included. The results are presented for 90Zr in a calculation within a model space of seven major oscillator shells. The main feature of this calculation is that the effective baryon-baryon interactions associated with the Δ are evaluated within a G-matrix approach based on a coupled-channel NNNΔπNN model that can describe the NN data up to 1 GeV. It is found that as the nucleus is compressed to about 2–3 times of the ordinary nuclear density, the Δ component is sharply increased to about 10% of all baryons in the system. This result is consistent with the values extracted from relativistic heavy-ion collisions.


  • Received 8 August 1997
  • Published in the issue dated December 1997

© 1997 The American Physical Society

Authors & Affiliations

Mahmoud A. Hasan1,2, T.-S. H. Lee3, and James P. Vary2,4

  • 1Applied Science University, Amman, Jordan
  • 2International Institute of Theoretical and Applied Physics, Ames, Iowa 50011
  • 3Physics Division, Argonne National Laboratory, Argonne, Illinois 60439
  • 4Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011

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