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

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arxiv 2302.07962 v2 pith:J6WQI6NW submitted 2023-02-15 nucl-th

Takayuki Miyagi This is my paper · ORCID
classification nucl-th
keywords calculationscodeelementsmatrixnuclearnumericalgeneratemany-body
verification ladder T0 review T1 audit T2 compute T3 formal

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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Jacobi Coordinates on Hyper-tori and Geometric Factors in the Volume Dependencies

    nucl-th 2025-11 conditional novelty 7.0 of 10

    The finite-volume energy shift of a clustered nucleus is the point-like two-body shift multiplied by a geometric factor that counts spin-isospin cluster partitions, and this factor is essential for extracting ANCs.

  2. Constructing Effective Interactions via Projection-Based Inversion

    nucl-th 2026-08 conditional novelty 6.0 of 10

    Discrete energy levels from truncated many-body calculations are inverted, via a Multiparameter Eigenvalue Problem emulator, into effective contact interactions that yield scattering phase shifts and resonance predictions.

  3. Improved structure of calcium isotopes from ab initio calculations

    nucl-th 2024-11 conditional novelty 6.0 of 10

    IMSRG(3)-N7 calculations for calcium-44, -48, and -52 show that three-body flow corrections substantially lower the 48Ca 2+ energy, improving the description of the N=28 shell closure, while leaving the 52Ca charge-ra...

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