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Renormalization Constants in the Random-Phase Approach

M. Weigel* and L. Garside

P. K. Haug

  • Lawrence Radiation Laboratory, University of California, Berkeley, California 94720

  • Sektion Physik, University München, Munich, Germany

  • *On leave from the Sektion Physik der Universität München, Munich, Germany.
  • Present address: Project Symphonie, Bonn, Germany.

Phys. Rev. C 3, 563 – Published 1 February, 1971

DOI: https://doi.org/10.1103/PhysRevC.3.563

Abstract

The renormalized random-phase-approximation equations are solved for a density-dependent particle-hole force emerging from the nucleon-nucleon interaction. Migdal's renormalization constants are determined for O16 and Ca40 assuming Woods-Saxon states for the quasiparticle and quasihole propagation, and compared with the renormalization constants for a harmonic-oscillator propagation. In both cases the assumption of good isospin is made. Furthermore, we determined the renormalization constants in the O16, Ca40, Ca48, and Pb208 problem in order to test the assumption of a mass-number-independent renormalization constant. For this purpose we used the standard harmonic-oscillator states for the quasi-single-particle (-hole) propagation (no good isospin).

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