Garvey-Kelson relations and the new nuclear mass tables

We discuss the Garvey-Kelson mass relations in an extended formalism and show how they can be used to test and improve the consistency of the most commonly used mass formulas to achieve more accurate predictions.

Figure 1

Deviations (color coded, in MeV) between the GK mass predictions and the measured masses. Red refers to nuclei with deviations of 0.30 MeV or greater and green to nuclei for which they are −0.30 MeV or less.

Figure 2

Deviations (color coded, in MeV) between the masses calculated using the mass models (a) FRDM, (b) Duflo-Zuker, and (c) HFB and the GK estimates obtained from the neighboring masses. Red refers to nuclei with deviations of 0.30 MeV or greater and green to nuclei for which they are −0.30 MeV or less.