The general harmonic-oscillator brackets: compact expression, symmetries, sums and Fortran code
arXiv:nucl-th/0105009 · doi:10.1016/S0375-9474(01)01101-0
Abstract
We present a very simple expression and a Fortran code for the fast and precise calculation of three-dimensional harmonic-oscillator transformation brackets. The complete system of symmetries for the brackets along with analytical expressions for sums, containing products of two and three brackets, is given.
13 pages, accepted for publication in Nuclear Physics A
Cited by in corpus (36)
- The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
- Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
- Spectra and binding energy predictions of chiral interactions for 7Li
- Converged ab initio calculations of heavy nuclei
- Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
- Hartree-Fock and Many-Body Perturbation Theory with Correlated Realistic NN-Interactions
- Evolved Chiral NN+3N Hamiltonians for Ab Initio Nuclear Structure Calculations
- Short-range correlations in nuclei with similarity renormalization group transformations
- \texttt{NuHamil}: A numerical code to generate nuclear two- and three-body matrix elements from chiral effective field theory
- Realistic shell-model calculations for p-shell nuclei including contributions of a chiral three-body force
- Hypernuclear No-Core Shell Model
- Normal ordering of three-nucleon interactions for ab initio calculations of heavy nuclei
- Jacobi no-core shell model for -shell hypernuclei
- Partial-wave contributions to pairing in nuclei
- Jacobi no-core shell model for p-shell nuclei
- Hyperfine Mixing and the Semileptonic Decays of Double-Heavy Baryons in a Quark Model
- Similarity renormalization group evolution of hypernuclear Hamiltonians
- Nuclear three-body problem in the complex energy plane: Complex-Scaling-Slater method
- Nuclear charge-exchange excitations based on relativistic density-dependent point-coupling model
- Ab initio Translationally Invariant Nonlocal One-body Densities from No-core Shell-model Theory
- Fluctuating parts of nuclear ground state correlation energies
- Shell-model interactions from chiral effective field theory
- Ab initio translationally invariant nucleon-nucleus optical potentials
- Low energy meson spectrum from a QCD approach based on many-body methods
- Regularization of zero-range effective interactions in finite nuclei
- Systematic Nuclear Uncertainties in the Hypertriton System
- Alpha-particle formation and decay rates from Skyrme-HFB wave functions
- Ab-initio calculation of the binding energy with the Hybrid Multideterminant scheme
- Computing the coefficients of transformations between oscillator states
- Description of nuclei around N=20 starting from the Argonne V18 interaction
- Study on Bound State and Resonance
- Two-body currents at finite momentum transfer and applications to M1 transitions
- Effect of residual many-body forces due to the evolution in the in-medium similarity renormalization group method
- Singular Value Decomposition and Similarity Renormalization Group Evolution of Nuclear Interactions
- Light antiproton-nucleus systems at low energies with the ab initio NCSM/RGM method
- Calculation of harmonic oscillator brackets in SU(3) basis