Proper treatment of the Pauli principle in mirror nuclei within the microscopic particle(hole)-phonon scheme

G. De Gregorio, F. Knapp, N. Lo Iudice, and P. Veselý
Phys. Rev. C 101, 024308 – Published 19 February 2020

Abstract

It is shown that the Cholesky decomposition method, implemented in mirror nuclei to extract an orthonormal basis from a redundant set of states composed of a valence particle (hole) coupled to Tamm-Dancoff approximation (TDA) phonons, yields a few levels which violate the mirror symmetry, at variance with the shell model. A more appropriate implementation of the method is suggested which eliminates this inconsistency.

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  • Received 3 October 2019
  • Accepted 6 February 2020

DOI:https://doi.org/10.1103/PhysRevC.101.024308

©2020 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

G. De Gregorio1,2, F. Knapp3, N. Lo Iudice4, and P. Veselý5

  • 1Dipartimento di Matematica e Fisica, Università degli Studi della Campania “Luigi Vanvitelli”, viale Abramo Lincoln 5, 81100 Caserta, Italy
  • 2Istituto Nazionale di Fisica Nucleare Sezione di Napoli, 80126 Napoli, Italy
  • 3Faculty of Mathematics and Physics, Charles University, 116 36 Prague, Czech Republic
  • 4Dipartimento di Fisica, Università di Napoli Federico II, 80126 Napoli, Italy
  • 5Nuclear Physics Institute, Czech Academy of Sciences, 250 68 Řež, Czech Republic

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Issue

Vol. 101, Iss. 2 — February 2020

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