Infrared length scale and extrapolations for the no-core shell model
K. A. Wendt, C. Forssén, T. Papenbrock, D. Sääf
备注：
8 pages, 4 figures. Updated to address issues fixed during publication. We have prepared a python (v2.7) script that will compute the IR scales (both full scale and intrinsic scale). This script depends only on numpy and scipy and can be found at http://github.com/KyleWendt/ncsm_ho_ir_scale
We precisely determine the infrared (IR) length scale of the no-core shell model (NCSM). In the NCSM, the $A$-body Hilbert space is truncated by the total energy, and the IR length can be determined by equating the intrinsic kinetic energy of $A$ nucleons in the NCSM space to that of $A$ nucleons in a $3(A-1)$-dimensional hyper-radial well with a Dirichlet boundary condition for the hyper radius. We demonstrate that this procedure indeed yields a very precise IR length by performing large-scale NCSM calculations for $^{6}$Li. We apply our result and perform accurate IR extrapolations for bound states of $^{4}$He, $^{6}$He, $^{6}$Li, $^{7}$Li. We also attempt to extrapolate NCSM results for $^{10}$B and $^{16}$O with bare interactions from chiral effective field theory over tens of MeV.
Benchmarking ANN extrapolations of the ground-state energies and radii of Li isotopes
Technische Universität Darmstadt（达姆施塔特工业大学）；Iowa State University（爱荷华州立大学）；Helmholtz Forschungsakademie Hessen für FAIR, GSI Helmholtzzentrum（黑森亥姆霍兹FAIR研究中心，GSI亥姆霍兹重离子研究中心）
Extrapolation to infinite model space of no-core shell model calculations using machine learning
Laboratory for Modeling Quantum Processes, Pacific National University（量子过程建模实验室，太平洋国立大学）；Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University（斯科贝利辛核物理研究所，罗蒙诺索夫莫斯科国立大学）
Deep learning: Extrapolation tool for ab initio nuclear theory
Iowa State University（爱荷华州立大学）；Horia Hulubei National Institute for Physics and Nuclear Engineering（霍里亚·胡卢贝伊国家物理与核工程研究所）；Moscow State University（莫斯科国立大学）；Pacific National University（太平洋国立大学）；Institute for Basic Science（基础科学研究所）；Lawrence Berkeley National Laboratory（劳伦斯伯克利国家实验室）
