\texttt{NuHamil}: A numerical code to generate nuclear two- and three-body matrix elements from chiral effective field theory

Abstract

The applicability of nuclear {\it ab initio} calculations has rapidly extended over the past decades. However, starting research projects is still challenging due to the required numerical expertise in the generation of underlying nuclear interaction matrix elements and many-body calculations. To ease the first issue, in this paper we introduce the numerical code \texttt{NuHamil} to generate the nucleon-nucleon (NN) and three-nucleon (3N) matrix elements expressed in a spherical harmonic-oscillator basis, inputs of many-body calculations. The ground-state energies for the selected doubly closed shell nuclei are calculated with the no-core shell-model (NCSM) and in-medium similarity renormalization group (IMSRG). The code is written in modern Fortran, and OpenMP+MPI hybrid parallelization is available for the 3N matrix-element calculations.

12 pages, published version

References in corpus (8)

• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Accurate nuclear radii and binding energies from a chiral interaction
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Local three-nucleon interaction from chiral effective field theory
• Corrections to nuclear energies and radii in finite oscillator spaces
• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
• Historical perspective and future prospects for nuclear interactions

Cited by in corpus (31)

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• Spectroscopy of N=50 isotones with the valence-space density matrix renormalization group
• Ab initio computations from ${}^{78}$Ni towards ${}^{70}$Ca along neutron number $N=50$
• Electromagnetic moments of the odd-mass nickel isotopes ${}^{59-67}$Ni
• Ab initio calculations of anomalous seniority breaking in the $\pi g_{9/2}$ shell for the $N=50$ isotones
• High-precision spectroscopy of ${}^{20}$O benchmarking ab-initio calculations in light nuclei
• From spin to pseudospin symmetry: The origin of magic numbers in nuclear structure
• Universal Effective Charges in the $sd$ and $fp$ Shells
• Ab initio study of island of inversion in odd-$A$ nuclei: Structure of ${}^{31,33}$Mg
• Randomized Low-Rank Decompositions of Nuclear Three-Body Interactions
• Ab initio calculations of monopole sum rules: From finite nuclei to infinite nuclear matter
• NuLattice: Ab initio computations of atomic nuclei on lattices
• Two-body currents at finite momentum transfer and applications to M1 transitions
• Evolution of shell structure at $\mathbf{N}=32$ and 34: Insights from realistic nuclear forces
• Neutron-rich nuclei and neutron skins from chiral low-resolution interactions
• Complex-scaled no-core shell model calculations of bound and unbound nuclear states in light nuclei
• Ab initio Bogoliubov many-body perturbation theory: closed-form constraint on the average particle number
• Ab initio calculations of beta-decay half-lives for $N=50$ neutron-rich nuclei
• Dimensionality reduction through tensor factorization : application to \textit{ab initio} nuclear physics calculations
• Ab initio calculations of nuclear charge radii across and beyond ${}^{132}$Sn: Putting chiral EFT nuclear interactions to the test
• Hartree-Fock emulators for nuclei: Application to charge radii of ${}^{48,52}$Ca
• Exploring quark mass dependent three-nucleon forces in medium-mass nuclei
• Computational schemes for the Magnus expansion of the in-medium similarity renormalization group
• Chiral interactions and superfluidity in the calcium isotopic chain
• Ab initio study of $\beta$-decay and pairing in $N=Z$ nuclei
• Ab initio study in the island of inversion within the two-major-shell valence space
• Ab initio short-range nuclear matrix elements for neutrinoless double-beta decay
• Bulk and spectroscopic nuclear properties within an ab initio renormalized random-phase approximation framework