Further improvements on a global nuclear mass model

Abstract

The semi-empirical macroscopic-microscopic mass formula is further improved by considering some residual corrections. The rms deviation from 2149 known nuclear masses is significantly reduced to 336 keV, even lower than that achieved with the best of the Duflo-Zuker models. The alpha-decay energies of super-heavy nuclei, the Garvey-Kelson relations and the isobaric multiplet mass equation (IMME) can be reproduced remarkably well with the model, and the predictive power of the mass model is good. With a systematic study of 17 global nuclear mass models, we find that the quadratic form of the IMME is closely related to the accuracy of nuclear mass calculations when the Garvey-Kelson relations are reproduced reasonably well. Fulfilling both the IMME and the Garvey-Kelson relations seems to be two necessary conditions to improve the quality of the model prediction. Furthermore, the alpha-decay energies of super-heavy nuclei should be used as an additional constraint on the global nuclear mass models.

10 figures, 2 tables; version to appear in Phys. Rev. C

References in corpus (17)

• Nuclear Ground-State Masses and Deformations
• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Microscopic mass formulae
• Skyrme-Hartree-Fock-Bogoliubov nuclear mass formulas: Crossing the 0.6 MeV threshold with microscopically deduced pairing
• Axially Deformed Solution of the Skyrme-Hartree-Fock-Bogolyubov Equations using The Transformed Harmonic Oscillator Basis. The program HFBTHO (v1.66p)
• Coordinate-space solution of the Skyrme-Hartree-Fock-Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.0)
• Modification of mass formula by considering isospin effects
• Mirror nuclei constraint in mass formula
• The Origin of the Wigner Energy
• Mapping the proton drip-line up to A=70
• Applications of Skyrme energy-density functional to fusion reactions spanning the fusion barriers
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• Nuclear symmetry energy at subnormal densities from measured nuclear masses
• Nuclear masses set bounds on quantum chaos
• Skyrme-HFB deformed nuclear mass table
• Challenge on the Astrophysical R-process Calculation with Nuclear Mass Models
• Mass and isospin dependence of symmetry energy coefficients of finite nuclei

Cited by in corpus (65)

• Origin of the Heaviest Elements: the Rapid Neutron-Capture Process
• Radioactivity and thermalization in the ejecta of compact object mergers and their impact on kilonova light curves
• Large scale evaluation of beta-decay rates of r-process nuclei with the inclusion of first-forbidden transitions
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• The limits of the nuclear landscape explored by the relativistic continuum Hatree-Bogoliubov theory
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• On the nuclear robustness of the r process in neutron-star mergers
• r-Process Nucleosynthesis: Connecting Rare-Isotope Beam Facilities with the Cosmos
• Nuclear mass predictions with radial basis function approach
• Kilonovae across the nuclear physics landscape: The impact of nuclear physics uncertainties on r-process-powered emission
• Modeling Kilonova Light Curves: Dependence on Nuclear Inputs
• Systematics of fusion probability in "hot" fusion reactions
• Properties of heaviest nuclei with $98\le Z\le 126$ and $134\le N\le 192$
• Extended systematics of alpha decay half lives for exotic superheavy nuclei
• Global dynamical correlation energies in covariant density functional theory: cranking approximation
• Nuclear masses learned from a probabilistic neural network
• Radial basis function approach in nuclear mass predictions
• Improved Kelson-Garvey mass relations for proton-rich nuclei
• Isochronous mass measurements of $T_z=-1$ $fp$-shell nuclei from projectile fragmentation of ${}^{58}$Ni
• Validating neural-network refinements of nuclear mass models
• Nucleosynthesis and observation of the heaviest elements
• Propagation of Statistical Uncertainties of Skyrme Mass Models to Simulations of $r$-Process Nucleosynthesis
• Constraining the density dependence of the symmetry energy using the multiplicity and average $p_T$ ratios of charged pions
• Q-alpha values in superheavy nuclei from the deformed Woods-Saxon model
• Detailed illustration of accuracy of presently used nuclear-mass models
• Reverse engineering nuclear properties from rare earth abundances in the $r$ process
• Nuclear symmetry energy from the Fermi-energy difference in nuclei
• Nuclear binding energy predictions using neural networks: Application of the multilayer perceptron
• Ground state properties and potential energy surfaces of ${}^{270}$Hs from multidimensionally-constrained relativistic mean field model
• Systematic study of shell gaps in nuclei
• Density-dependent symmetry energy at subsaturation densities from nuclear mass differences
• Global calculations on the microscopic energies and nuclear deformations: Isospin dependence of the spin-orbit coupling
• Uncertainty decomposition method and its application in the liquid drop model
• Impact of statistical uncertainties on the composition of the outer crust of a neutron star
• Odd-even staggering and shell effects of charge radii for nuclei with even $Z$ from $36$ to $38$ and from $52$ to $62$
• The Influence of Beta Decay Rates on r-Process Observables
• Impact of systematic nuclear uncertainties on composition and decay heat of dynamical and disk ejecta in compact binary mergers
• Correlations between neutrons and protons near Fermi surface and $Q_{\alpha }$ of super-heavy nuclei
• Two-proton radioactivity of exotic nuclei beyond proton drip-line
• Application of multilayer perceptron with data augmentation in nuclear physics
• The Neutron Star Outer Crust Equation of State: A Machine Learning approach
• Mass measurements for $T_z=-2$ $fp$-shell nuclei ${}^{40}$Ti, ${}^{44}$Cr, ${}^{46}$Mn, ${}^{48}$Fe, ${}^{50}$Co and ${}^{52}$Ni
• Beta-decay properties of neutron-rich rare-earth isotopes
• An improved nuclear mass formula: WS3
• Global $\alpha$-decay study based on the mass table of the relativistic continuum Hartree-Bogoliubov theory
• Mass predictions of superheavy nuclei from the systematics of $\alpha$-Decay Energies
• Nuclear matter properties, phenomenological theory of clustering at the nuclear surface, and symmetry energy
• Evolution of nuclear charge radii in copper and indium isotopes
• Preformation Probability and Kinematics of Clusters Emission yielding Pb-daughters
• Statistical errors in Weizsaecker-Skyrme mass model
• Systematic study of infrared energy corrections in truncated oscillator spaces
• Analytical mass formula and nuclear surface properties in the ETF approximation
• Effect of Wigner energy on the symmetry energy coefficient in nuclei
• Experimental Determination of One- and Two-Neutron Separation Energies for Neutron-Rich Copper Isotopes
• KIDS density functional for deformed nuclei: Examples of the even-even Nd isotopes
• The nucleardatapy toolkit for simple access to experimental nuclear data, astrophysical observations, and theoretical predictions
• HD 222925: a New Opportunity to Explore the Astrophysical and Nuclear Conditions of r-process Sites
• Isospin Mixing and the Cubic Isobaric Multiplet Mass Equation in the Lowest T = 2, A = 32 Quintet
• Influence of binding energies of electrons on nuclear mass predictions
• Predicting the optical observables for nucleon scattering on even-even actinides
• Structural and decay properties of nuclei appearing in the $\alpha$-decay chains of ${}^{296,298,300,302,304}$120 within the relativistic mean-field formalism
• Iso-scalar liquid drop model
• The importance of charged particle reactions in the r-process on supernovae and neutron stars
• Extending the nuclear chart by continuum: from oxygen to titanium
• Impact of nuclear masses on r-process nucleosynthesis: bulk properties versus shell effects