6533b851fe1ef96bd12a9975

RESEARCH PRODUCT

Error analysis of nuclear mass fits

Jacek DobaczewskiJacek DobaczewskiJ. ToivanenMarkus KortelainenKazuhito Mizuyama

subject

PhysicsMass numberNuclear and High Energy PhysicsNuclear TheoryFOS: Physical sciencesNuclear Theory (nucl-th)Perspective (geometry)Standard errorError analysisSimple (abstract algebra)Curve fittingPoint (geometry)Statistical physicsInterpolation

description

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.

yearjournalcountryeditionlanguage
2008-09-10
https://dx.doi.org/10.48550/arxiv.0806.1914