Error analysis of nuclear mass fits

Abstract

We discuss the least-square and linear-regression methods, which are relevant for a reliable determination of good nuclear-mass-model parameter sets and their errors. In this perspective, we define exact and inaccurate models and point out differences in using the standard error analyses for them. As an illustration, we use simple analytic models for nuclear binding energies and study the validity and errors of models' parameters, and uncertainties of its mass predictions. In particular, we show explicitly the influence of mass-number dependent weights on uncertainties of liquid-drop global parameters.

10 RevTeX pages, 9 figures, submitted to Physical Review C

References in corpus (10)

• Nuclear Ground-State Masses and Deformations
• Quantum Monte Carlo Calculations of Light Nuclei
• Light Hadron Spectrum and Quark Masses from Quenched Lattice QCD
• Fitting theories of nuclear binding energies
• Nuclear masses set bounds on quantum chaos
• Q_EC values of the Superallowed beta Emitters 50Mn and 54Co
• Mean-field description of ground-state properties of drip-line nuclei. (I) Shell-correction method
• Dependence of single-particle energies on coupling constants of the nuclear energy density functional
• Q-values of the Superallowed beta-Emitters 26m-Al, 42-Sc and 46-V and their impact on V_ud and the Unitarity of the CKM Matrix
• Compressibility, effective mass and density dependence in Skyrme forces

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• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• Propagation of uncertainties in the Skyrme energy-density-functional model
• Quantified Gamow Shell Model interaction for $psd$-shell nuclei
• Isospin-symmetry breaking in masses of $N\simeq Z$ nuclei
• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
• Error Analysis in Nuclear Density Functional Theory
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• Isospin-symmetry restoration within the nuclear density functional theory: formalism and applications
• Spectroscopic properties of nuclear Skyrme energy density functionals
• Ab Initio Derivation of Model Energy Density Functionals
• Uncertainty Quantification and Propagation in Nuclear Density Functional Theory
• Isospin coupling-channel decomposition of nuclear symmetry energy in covariant density functional theory
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• An introduction to Bootstrap for nuclear physics
• A new statistical method for the structure of the inner crust of neutron stars
• Model nuclear energy density functionals derived from ab initio calculations
• Propagation of uncertainties in the nuclear DFT models
• Statistical learnability of nuclear masses
• Moving Beyond Chi-Squared in Nuclei and Neutron Stars
• Landau parameters for energy density functionals generated by local finite-range pseudopotentials
• Sensitivity of predictions in an effective model -- application to the chiral critical end point position in the Nambu--Jona-Lasinio model
• The nuclear energy density functionals with modified radial dependence of the isoscalar effective mass
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