Application of an efficient generator-coordinate subspace-selection algorithm to neutrinoless double- β decay
Year: 2021
Type: article
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-$\ensuremath{\beta}$ decay. We present both shell-model and preliminary ab initio calculations of this matrix element for the decay of $^{76}\mathrm{Ge}$, 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.
Source: Physical Review C
Language: English
Topic: Neutrino Physics Research
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: U.S. Department of Energy, University of North Carolina, Michigan State University, National Energy Research Scientific Computing Center, European Commission, Sun Yat-sen University, Ministerio de Ciencia e Innovación, Ministerio de Asuntos Económicos y Transformación Digital, Gobierno de España, Directorate for Mathematical and Physical Sciences, Office of Science, College of Engineering, Michigan State University, Horizon 2020, Fundamental Research Funds for the Central Universities, Nuclear Physics, Lawrence Berkeley National Laboratory, H2020 Marie Skłodowska-Curie Actions
Awards: G1221799450, G122673668, G1286236842, ADVANCED AB INITIO METHODS FOR NUCLEAR STRUCTURE, G1375765430, G1441877187, G1463373697, Theory for A Unified descRiption of nUclear Structure, G1650125035, G1677143136, G222768804, NUCLEAR THEORY WITH APPLICATIONS TO ASTROPHYSICS AND PARTICLE PHYSICS, NUCLEAR THEORY WITH APPLICATIONS TO ASTROPHYSICS AND PARTICLE PHYSICS, G2821925151, G2906031746, G3083819904, NUCLEAR COMPUTATIONAL LOW ENERGY INITIATIVE (NUCLEI), G3137197751, G419881185, Theory for A Unified descRiption of nUclear Structure, G42916606, G434337789, G4501827968, G490073602, G498139845, G5076365615, G526230902, NUCLEAR THEORY FOR DOUBLE-BETA DECAY AND FUNDAMENTAL SYMMETRIES, NUCLEAR THEORY WITH APPLICATIONS TO ASTROPHYSICS AND PARTICLE PHYSICS, NUCLEAR THEORY FOR DOUBLE-BETA DECAY AND FUNDAMENTAL SYMMETRIES, G969889393
OpenAlex ID: W3216769941