Reconstitution of local mass relations

In this paper we show that double differences of separation energies for four neighboring nuclei cancel out with remarkable accuracy. The well-known Garvey-Kelson relations (GKs) and their generalizations are reduced to special cases of our reconstituted relations. Some of the new relations given in this paper are found to be in competitive or even better agreement with experimental data than the GKs.

Figure 1

Deviations (in keV) of Eq. (5) for theoretical $S_{2n}$ values calculated by using the SHFB [3], DZ [4], FRDM [6], and WS [8] models.

Figure 2

Schematic plot of Eqs. (8)–(11). Panels (a)–(d) correspond to Eqs. (8)–(11), respectively.