Statistical errors in Weizsaecker-Skyrme mass model

Abstract

The statistical uncertainties of 13 model parameters in the Weizsäcker-Skyrme (WS*) mass model are investigated for the first time with an efficient approach, and the propagated errors in the predicted masses are estimated. The discrepancies between the predicted masses and the experimental data, including the new data in AME2016, are almost all smaller than the model errors. For neutron-rich heavy nuclei, the model errors increase considerably, and go up to a few MeV when the nucleus approaches the neutron drip line. The most sensitive model parameter which causes the largest statistical error is analyzed for all bound nuclei. We find that the two coefficients of symmetry energy term significantly influence the mass predictions of extremely neutron-rich nuclei, and the deformation energy coefficients play a key role for well-deformed nuclei around the $\beta$-stability line.

5 figrues, 2 tables, to appear in Chinese Physics C

References in corpus (22)

• Nuclear Ground-State Masses and Deformations
• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Microscopic mass formulae
• Surface diffuseness correction in global mass formula
• Skyrme-Hartree-Fock-Bogoliubov nuclear mass formulas: Crossing the 0.6 MeV threshold with microscopically deduced pairing
• Symmetry Energy II: Isobaric Analog States
• Masses, Deformations and Charge Radii--Nuclear Ground-State Properties in the Relativistic Mean Field Model
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Further improvements on a global nuclear mass model
• Modification of mass formula by considering isospin effects
• Mirror nuclei constraint in mass formula
• Nuclear symmetry energy at subnormal densities from measured nuclear masses
• Variation in displacement energies due to isospin nonconserving forces
• Propagation of uncertainties in the Skyrme energy-density-functional model
• Error Analysis in Nuclear Density Functional Theory
• Covariance analysis for Energy Density Functionals and instabilities
• Error estimates for the Skyrme-Hartree-Fock model
• Uncertainty decomposition method and its application in the liquid drop model
• Properties of nuclear matter from macroscopic-microscopic mass formulas
• Optimizing relativistic energy density functionals: covariance analysis
• Propagation of uncertainties in the nuclear DFT models

Cited by in corpus (3)

• Recent progress in configuration-interaction shell model
• Limitations of the Geiger-Nuttall Law in heavy cluster decay
• Uncertainty evaluation and correlation analysis of single-particle energies in phenomenological nuclear mean field: An investigation of propagating uncertainties for independent model parameters