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New approach to the adiabaticity concepts in the collective nuclear motion: Impact for the collective-inertia tensor and comparisons with experiment

D. Rouvel and J. Dudek
Phys. Rev. C 99, 041303(R) – Published 19 April 2019

Abstract

We propose a new derivation of the cranking-model expression for the nuclear collective inertia tensor, introducing explicitly the slow- and fast-motion timescales together with a parameter controlling the interplay between the two modes. The new cranking formula is free from the mass tensor divergencies originating from the nucleon-level crossings in the denominators of the first-order perturbation theory expressions and allows the exploration of the unrestricted deformation space without spurious mass tensor contributions caused by those divergencies. We apply the new formalism without extra parameter adjustments to the collective vibrations in Pb208.

  • Figure
  • Received 5 March 2018

DOI:https://doi.org/10.1103/PhysRevC.99.041303

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

D. Rouvel1,2,* and J. Dudek2,3,†

  • 1Lycée Kléber, 25 place de Bordeaux, F-67000 Strasbourg, France
  • 2IPHC/DRS and Université de Strasbourg, 23 rue du Lœss, B.P. 28, F-67037 Strasbourg Cedex 2, France
  • 3Institute of Physics, Marie Curie-Skłodowska University, PL-20031 Lublin, Poland

  • *david.rouvel@iphc.cnrs.fr
  • jerzy.dudek@iphc.cnrs.fr

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Issue

Vol. 99, Iss. 4 — April 2019

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