Ab Initio Calculations of Nuclear Structure

Here are the slides of my lecture at the FNHP2021 virtual school for download.

Lecture 1 Prelude - Many-Body Quantum Mechanics - Nuclear Hamiltonian - Matrix Elements - Two-Body Problem - Correlations & Unitary Transformations
Lecture 2 Similarity Renormalization Group - Many-Body Problem - Configuration Interaction - No-Core Shell Model - Basis Optimization
Lecture 3 Normal Ordering - Coupled-Cluster Theory - In-Medium Similarity Renormalization Group - In-Medium No-Core Shell Model - Many-Body Perturbation Theory
Lecture 4 Chiral Interactions for Precision Calculations - Uncertainty Quantification - Applications to Nuclei and Hypernuclei

All the remote lectures have been uploaded to the YouTube channel of the Galileo Galilei Instiute. You can watch the 4 lectures plus the extra hands-on session via the following links. Note that the topics of the individual lectures are packaged slightly differently compared to the slides above.

Lecture 1 Prelude - Many-Body Quantum Mechanics - Nuclear Hamiltonian - Matrix Elements
Lecture 2 Two-Body Problem - Correlations & Unitary Transformations - Similarity Renormalization Group - Many-Body Problem - Configuration Interaction
Lecture 3 No-Core Shell Model - Basis Optimization - Normal Ordering - Coupled-Cluster Theory - In-Medium Similarity Renormalization Group - In-Medium No-Core Shell Model
Lecture 4 Chiral Interactions for Precision Calculations - Uncertainty Quantification - Applications to Nuclei and Hypernuclei
Hands-On Session Similarity Renormalization Group and No-Core Shell Model in the Three-Body System

As an optional practical project we will explore the basic computational elements of the no-core shell model. Starting from the matrix elements of the kinetic energy and the interaction in a three-particle Jacobi harmonic-oszillator basis, you can study one or more of the following steps, which are an integral part of modern no-core shell model calculations:

• solution of the SRG flow equations in three-body space
• implementation and exploration of the Lanczos algorithm for large sparse eigenvalue problems
• study of the convergence behaviour of the triton ground-state energy

All relevant files plus a demo implementation in Mathematica with instructions can be found in the folowing ZIP file

ncsm-project.zip