Application of an efficient generator-coordinate subspace-selection algorithm to neutrinoless double-β decay

A. M. Romero, J. M. Yao, B. Bally, T. R. Rodríguez, and J. Engel
Phys. Rev. C 104, 054317 – Published 29 November 2021

Abstract

The generator coordinate method begins with the variational construction of a set of nonorthogonal mean-field states that span a subspace of the full many-body Hilbert space. These states are then often projected onto states with good quantum numbers to restore symmetries, leading to a set with members that can be similar to one another, and it is sometimes possible to reduce this set without greatly affecting results. Here, we propose a greedy algorithm that we call the energy-transition-orthogonality procedure (ENTROP) to select subsets of important states. As applied here, the approach selects on the basis of diagonal energy, orthogonality, and contribution to the matrix element that governs neutrinoless double-β decay. We present both shell-model and preliminary ab initio calculations of this matrix element for the decay of Ge76, with quadrupole deformation parameters and the isoscalar pairing strength as generator coordinates. ENTROP converges quickly, reducing significantly the number of basis states needed for an accurate calculation.

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  • Received 7 May 2021
  • Revised 5 October 2021
  • Accepted 5 November 2021

DOI:https://doi.org/10.1103/PhysRevC.104.054317

©2021 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

A. M. Romero1,*, J. M. Yao2,3,†, B. Bally4, T. R. Rodríguez4,5, and J. Engel1,‡

  • 1Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27516-3255, USA
  • 2School of Physics and Astronomy, Sun Yat-sen University, Zhuhai 519082, People's Republic of China
  • 3Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824-1321, USA
  • 4Departamento de Física Teórica y Universidad Autónoma de Madrid, E-28049 Madrid, Spain
  • 5Centro de Investigación Avanzada en Física Fundamental-CIAFF-UAM, E-28049 Madrid, Spain

  • *amromero@email.unc.edu
  • yaojm8@mail.sysu.edu.cn
  • engelj@physics.unc.edu

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Issue

Vol. 104, Iss. 5 — November 2021

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