Description of the high spin states in Gd146 using the optimized Woods-Saxon potential

Jerzy Dudek, Zdzislaw Szymański, Tomasz Werner, Amand Faessler, and Celso Lima
Phys. Rev. C 26, 1712 – Published 1 October 1982
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Abstract

The Woods-Saxon potential is employed to interpret the properties of single particle and high spin spectra of Gd146. Spin orbit potential parameters are found which simultaneously reproduce the experimental yrast and yrare states up to I18 and generate the proton single particle energy gap δp=2.0 MeV. The spin-orbit potential parameters obtained are nearly identical for neutrons and protons and are close to the parameter values obtained previously by optimizing the potential to high spin spectra in the vicinity of Pb208. Properties of the pairing correction method, the Bardeen-Cooper-Schrieffer approximation with blocking, and the particle number projection are discussed and illustrated. It is demonstrated that including the particle number projection term in the total energy formula improves considerably the average slope of the calculated yrast line. The possibility of the collective quadrupole vibrational states becoming yrast states is studied for I7 using the random phase approximation but only a rather weak effect of collectivity is found in the spin-range studied.

NUCLEAR STRUCTURE Gd146; Woods-Saxon single-particle levels, high spin excitations. Collectivity in the high spin states, RPA.

  • Received 6 October 1981

DOI:https://doi.org/10.1103/PhysRevC.26.1712

©1982 American Physical Society

Authors & Affiliations

Jerzy Dudek, Zdzislaw Szymański, and Tomasz Werner

  • Institute for Theoretical Physics, Warsaw University, Hoza 69, PL-00-681 Warsaw, Poland

Amand Faessler and Celso Lima*

  • Institut für Theoretische Physik, Universität Tübingen, D-7400 Tübingen, West Germany

  • *On leave of absence from the Universidade Federal do Rio de Janeiro, Brazil.

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Vol. 26, Iss. 4 — October 1982

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