Program in C for studying characteristic properties of two-body interactions in the framework of spectral distribution theory

Abstract

We present a program in C that employs spectral distribution theory for studies of characteristic properties of a many-particle quantum-mechanical system and the underlying few-body interaction. In particular, the program focuses on two-body nuclear interactions given in a JT-coupled harmonic oscillator basis and calculates correlation coefficients, a measure of similarity of any two interactions, as well as Hilbert-Schmidt norms specifying interaction strengths. An important feature of the program is its ability to identify the monopole part (centroid) of a 2-body interaction, as well as its 'density-dependent' one-body and two-body part, thereby providing key information on the evolution of shell gaps and binding energies for larger nuclear systems. As additional features, we provide statistical measures for 'density-dependent' interactions, as well as a mechanism to express an interaction in terms of two other interactions. This, in turn, allows one to identify, e.g., established features of the nuclear interaction (such as pairing correlations) within a general Hamiltonian. The program handles the radial degeneracy for 'density-dependent' one-body interactions and together with an efficient linked list data structure, facilitates studies of nuclear interactions in large model spaces that go beyond valence-shell applications.

22 pages, 3 figures

References in corpus (9)

• In-Medium Similarity Renormalization Group for Nuclei
• Coupled-cluster theory for three-body Hamiltonians
• Ab-initio shell model with a core
• Generalized seniority for the shell model with realistic interactions
• Underlying symmetries of realistic interactions and the nuclear many-body problem
• Global Properties of fp-Shell Interactions in Many-nucleon Systems
• Dynamical symmetry of isobaric analog 0+ states in medium mass nuclei
• Simple models for shell-model configuration densities
• Energy Centroids in the presence of random interactions

Cited by in corpus (8)

• Ab initio Folding Potentials for Nucleon-Nucleus Scattering based on NCSM One-Body Densities
• Systematics of strength function sum rules
• Transition sum rules in the shell model
• Operator evolution from the similarity renormalization group and the Magnus expansion
• Ab initio nucleon-nucleus elastic scattering with chiral effective field theory uncertainties
• SU(3)-guided Realistic Nucleon-nucleon Interactions for Large-scale Calculations
• Nuclear spin features relevant to ab initio nucleon-nucleus elastic scattering
• Tracing the evolution of nuclear forces under the similarity renormalization group