Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D Mesh: Effect of triaxial shape

Abstract

The modeling of nuclear reactions and radioactive decays in astrophysical or earth-based conditions requires detailed knowledge of the masses of essentially all nuclei. Microscopic mass models based on nuclear energy density functionals (EDFs) can be descriptive and used to provide this information. The concept of intrinsic symmetry breaking is central to the predictive power of EDF approaches, yet is generally not exploited to the utmost by mass models because of the computational demands of adjusting up to about two dozen parameters to thousands of nuclear masses. We report on a first step to bridge the gap between what is presently feasible for studies of individual nuclei and large-scale models: we present a new Skyrme-EDF-based model that was adjusted using a three-dimensional coordinate-space representation, for the first time allowing for both axial and triaxial deformations during the adjustment process. To compensate for the substantial increase in computational cost brought by the latter, we have employed a committee of multilayer neural networks to model the objective function in parameter space and guide us towards the overall best fit. The resulting mass model BSkG1 is computed with the EDF model independently of the neural network. It yields a root mean square (rms) deviation on the 2457 known masses of 741 keV and an rms deviation on the 884 measured charge radii of 0.024 fm.

arXiv comment25 pages, 15 figures

References in corpus (94)

• The equation of state for nucleon matter and neutron star structure
• The r-process of stellar nucleosynthesis: Astrophysics and nuclear physics achievements and mysteries
• Core-collapse supernova equations of state based on neutron star observations
• Constraints on the density dependence of the symmetry energy
• Comprehensive nucleosynthesis analysis for ejecta of compact binary mergers
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• R-Process Nucleosynthesis in Dynamically Ejected Matter of Neutron Star Mergers
• Nuclear Energy Density Optimization
• Constraining the Symmetry Parameters of the Nuclear Interaction
• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Nuclear energy density optimization: Large deformations
• Pairing gaps from nuclear mean-field models
• Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation
• Neutron star radii and crusts: uncertainties and unified equations of state
• Density slope of the nuclear symmetry energy from the neutron skin thickness of heavy nuclei
• Large scale evaluation of beta-decay rates of r-process nuclei with the inclusion of first-forbidden transitions
• Microscopic determination of the nuclear incompressibility within the non-relativistic framework
• Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter
• On the rms-radius of the proton
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• Nuclear mass predictions based on Bayesian neural network approach with pairing and shell effects
• Microscopic justification of the Equal Filling approximation
• Global systematics of octupole excitations in even-even nuclei
• Nuclear energy density optimization: Shell structure
• Bayesian approach to model-based extrapolation of nuclear observables
• Global study of quadrupole correlation effects
• Triaxial Angular Momentum Projection and Configuration Mixing calculations with the Gogny force
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XI: Stabilizing neutron stars against a ferromagnetic collapse
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• Heavy-ions collisions and fission dynamics with the time-dependent Hartree-Fock theory and its extensions
• Interplay of Three-Body Interactions in the EOS of Nuclear Matter
• Future of Nuclear Fission Theory
• Isospin Dependence of the Spin-Orbit Force and Effective Nuclear Potentials,
• Isospin Dependence of the Spin-Orbit Force and Effective Nuclear Potentials
• Multidimensionally-constrained relativistic mean field models and potential energy surfaces of actinide nuclei
• One-quasiparticle States in the Nuclear Energy Density Functional Theory
• Charge radii and structural evolution in Sr, Zr, and Mo isotopes
• Neutron drip line in the Ca region from Bayesian model averaging
• From Brueckner Approach to Skyrme-type Energy Density Functional
• Structure of the inner crust of neutron stars: crystal lattice or disordered phase ?
• Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner Theory
• Systematics of Fission Barriers in Superheavy Elements
• Impact of weak interactions of free nucleons on the r-process in dynamical ejecta from neutron-star mergers
• Predictions of nuclear $\beta$-decay half-lives with machine learning and their impacts on $r$ process
• Astronuclear Physics: a Tale of the Atomic Nuclei in the Skies
• Superdeformed rotational bands in the Mercury region; A Cranked Skyrme-Hartree-Fock-Bogoliubov study
• Octupole deformation in the ground states of even-even nuclei: a global analysis within the covariant density functional theory
• Role of triaxiality in the ground state shape of neutron rich Yb, Hf, W, Os, and Pt isotopes
• Potential energy surfaces of superheavy nuclei
• 3D Relativistic Hartree-Bogoliubov model with a separable pairing interaction
• Accurate nuclear masses from a three parameter Kohn-Sham DFT approach (BCPM)
• Energy density functional for nuclei and neutron stars
• Instabilities of infinite matter with effective Skyrme-type interactions
• Quantified limits of the nuclear landscape
• Nuclear chiral doublet bands data tables
• Spin and spin-isospin instabilities in asymmetric nuclear matter at zero and finite temperatures using Skyrme functionals
• Taming nuclear complexity with a committee of multilayer neural networks
• Landscape of pear-shaped even-even nuclei
• Covariant description of shape evolution and shape coexistence in neutron-rich nuclei at N\approx60
• Improved Leakage-Equilibration-Absorption Scheme (ILEAS) for Neutrino Physics in Compact Object Mergers
• Collectivity-induced quenching of signatures for shell closures
• Shape coexistence and the role of axial asymmetry in ${}^{72}$Ge
• Experimental Evidence for Transverse Wobbling in ${}^{105}$Pd
• Solution of the Skyrme HF+BCS equation on a 3D mesh. II. A new version of the Ev8 code
• Nuclear matter in the crust of neutron stars
• Longitudinal Wobbling Motion in ${}^{187}$Au
• Beyond the proton drip line: Bayesian analysis of proton-emitting nuclei
• Evidence for rigid triaxial deformation in ${}^{76}$Ge from a model-independent analysis
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• Solution of self-consistent equations for the N3LO nuclear energy density functional in spherical symmetry. The program HOSPHE (v1.00)
• First glimpse of the $N=82$ shell closure below $Z=50$ from masses of neutron-rich cadmium isotopes and isomers
• Fission fragment distributions and their impact on the r-process nucleosynthesis in neutron star mergers
• Nature of $\gamma$-deformation in Ge and Se nuclei and the triaxial projected shell model description
• Triaxiality and shape coexistence in Germanium isotopes
• Moments of Inertia of Nuclei in the Rare Earth Region: A Relativistic versus Non-Relativistic Investigation
• Theoretical study of triaxial shapes of neutron-rich Mo and Ru nuclei
• Properties of odd nuclei and the impact of time-odd mean fields: A systematic Skyrme-Hartree-Fock analysis
• Nuclear binding energy predictions using neural networks: Application of the multilayer perceptron
• Constraining the surface properties of effective Skyrme interactions
• Numerical accuracy of mean-field calculations in coordinate space
• Variation after full projection with triaxially deformed nuclear mean field
• The nuclear moment of inertia and spin distribution of nuclear levels
• The impact of the surface energy coefficient on the deformation properties of atomic nuclei as predicted by Skyrme energy density functionals
• Positioning the neutron drip line and the r-process paths in the nuclear landscape
• A Survey of Nuclear Pasta in the Intermediate Density Regime I: Shapes and Energies
• Uncertainty Quantification and Propagation in Nuclear Density Functional Theory
• Phase transitions in Core-Collapse Supernova Matter at sub-saturation densities
• Iterative approaches to the self-consistent nuclear energy density functional problem. Heavy ball dynamics and potential preconditioning
• Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory
• Optimization and Supervised Machine Learning Methods for Fitting Numerical Physics Models without Derivatives
• Thouless-Valatin Rotational Moment of Inertia from the Linear Response Theory
• Properties of spherical and deformed nuclei using regularized pseudopotentials in nuclear DFT
• Systematic study of infrared energy corrections in truncated oscillator spaces

Cited by in corpus (28)

• Evidence of the triaxial structure of ${}^{129}$Xe at the Large Hadron Collider
• Precision Studies of QCD in the Low Energy Domain of the EIC
• Evidence of Hexadecapole Deformation in Uranium-238 at the Relativistic Heavy Ion Collider
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D mesh: II. Time-reversal symmetry breaking
• Nucleonic metamodelling in light of multimessenger, PREX-II and CREX data
• Nuclear DFT analysis of electromagnetic moments in odd near doubly magic nuclei
• Odd-odd neutron-rich rhodium isotopes studied with the double Penning trap JYFLTRAP
• Impact of nuclear shape fluctuations in high-energy heavy ion collisions
• Structure of ${}^{128,129,130}$Xe through multi-reference energy density functional calculations
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D mesh. IIb. Fission properties of BSkG2
• Precision mass measurements in the zirconium region pin down the mass surface across the neutron midshell at $N=66$
• Building Surrogate Models of Nuclear Density Functional Theory with Gaussian Processesand Autoencoders
• Three-dimensional Skyrme Hartree-Fock-Bogoliubov solver in coordinate-space representation
• Binding energies of ground and isomeric states in neutron-rich ruthenium isotopes: measurements at JYFLTRAP and comparison to theory
• Nuclear spectra from low-energy interactions
• High-precision measurements of low-lying isomeric states in ${}^{120-124}$In with JYFLTRAP double Penning trap
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Symmetry-projected variational calculations with the numerical suite TAURUS II. Configuration mixing of symmetry-projected reference states
• Time-dependent nuclear energy-density functional theory toolkit for neutron star crust: Dynamics of a nucleus in a neutron superfluid
• The nucleardatapy toolkit for simple access to experimental nuclear data, astrophysical observations, and theoretical predictions
• Discovery of a new long-lived isomer in ${}^{114}$Rh via Penning-trap mass spectrometry
• Identifying $\alpha$-cluster configurations in ${}^{20}$Ne via ultracentral Ne+Ne Collisions
• Quadrupole-hexadecapole coupling in the rare earth region with beyond mean field correlations
• Nuclear mass table in density functional approach inspired by neutron-star observations
• Impact of choices for center-of-mass correction energy on the surface energy of Skyrme energy density functionals
• Benchmarking rotational correction energies in odd-mass nuclei
• High-precision mass measurements of the ground and isomeric states in ${}^{124,125}$Ag
• Fingerprints of triaxiality in the charge radii of neutron-rich Ruthenium