Test of the Grodzins product rule in N = 88 isotones and the role of the Z = 64 subshell

J. B. Gupta
Phys. Rev. C 89, 034321 – Published 28 March 2014

Abstract

Background: The increase of collectivity in the nuclear spectra, with increasing numbers of valence proton and neutron pairs, is a well-known phenomenon, yielding a decreasing E(21+) and increasing B(E2)↑, which is the basis of Grodzins E(21+)×B(E2) product constancy rule.

Purpose: In the N = 88 isotones, this product varies sharply with Z. This breakdown of the product rule in the Ba to Dy region is illustrated and its origin is analyzed.

Method: Empirical data on energy level structure in various forms along with the E2 transition rates, vis-à-vis the level structure and the nature of the Z = 64 subshell effect, are presented.

Results: The complex nuclear structure of N = 88 isotones is highlighted and the genesis of the underlying physics is made more transparent.

Conclusion: Besides the static shape of the nucleus, it involves the dynamics of the nucleus, as reproduced in the dynamic pairing plus quadrupole model.

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  • Received 3 September 2013
  • Revised 15 February 2014

DOI:https://doi.org/10.1103/PhysRevC.89.034321

©2014 American Physical Society

Authors & Affiliations

J. B. Gupta*

  • Ramjas College, University of Delhi, Delhi 110007, India

  • *jbgupta2011@gmail.com

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Issue

Vol. 89, Iss. 3 — March 2014

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