4,393 research outputs found

    Calculation of nuclear matrix elements in neutrinoless double electron capture

    Full text link
    We compute nuclear matrix elements for neutrinoless double electron capture on 152^{152}Gd, 164^{164}Er and 180^{180}W nuclei. Recent precise mass measurements for these nuclei have shown a large resonance enhancement factor that makes them the most promising candidates for observing this decay mode. We use an advanced energy density functional method which includes beyond mean-field effects such as symmetry restoration and shape mixing. Our calculations reproduce experimental charge radii and B(E2)B(E2) values predicting a large deformation for all these nuclei. This fact reduces significantly the values of the NMEs leading to half-lives larger than 102910^{29} years for the three candidates

    Graph Element Networks: adaptive, structured computation and memory

    Full text link
    We explore the use of graph neural networks (GNNs) to model spatial processes in which there is no a priori graphical structure. Similar to finite element analysis, we assign nodes of a GNN to spatial locations and use a computational process defined on the graph to model the relationship between an initial function defined over a space and a resulting function in the same space. We use GNNs as a computational substrate, and show that the locations of the nodes in space as well as their connectivity can be optimized to focus on the most complex parts of the space. Moreover, this representational strategy allows the learned input-output relationship to generalize over the size of the underlying space and run the same model at different levels of precision, trading computation for accuracy. We demonstrate this method on a traditional PDE problem, a physical prediction problem from robotics, and learning to predict scene images from novel viewpoints.Comment: Accepted to ICML 201
    • …
    corecore