Figure 1

Residual proton-neutron interactions for nuclei with mass number $A⩾16$. A minus sign is added to $\delta V_{i\mathrm{p}-j\mathrm{n}}$ in this figure so that most of the data are above zero, guiding our eyes more comfortably. In panel (a) we present $-\delta V_{1\mathrm{p}-1\mathrm{n}}$ separately for nuclei with even $A$ (black circles) and odd $A$ (blue circles), and the curve in red (green) is plotted by using the average values of $-\delta V_{1\mathrm{p}-1\mathrm{n}}$ for nuclei with mass number $A$ even (odd). The straight line in orange is plotted according to Eq. (3): $-\delta V_{1\mathrm{p}-1\mathrm{n}}(N,Z)=74\text{keV}$ for odd-$A$ nuclei with $A>100$ and the curve in violet-blue is plotted according to $-\delta V_{1\mathrm{p}-1\mathrm{n}}(N,Z)=74+69861/A\text{keV}$ for even-$A$ nuclei with $A⩾100$. In panels (b) and (c), circles in black correspond to $-\delta V_{1\mathrm{p}-2\mathrm{n}}$ and $-\delta V_{2\mathrm{p}-1\mathrm{n}}$, respectively, and curves in red are plotted by using their average values with given $A$. The $-\delta V_{1\mathrm{p}-1\mathrm{n}}$ for nuclei with $Z=N$, $-\delta V_{1\mathrm{p}-2\mathrm{n}}$ for nuclei with $Z=N$ or $Z=N-1$, or $-\delta V_{2\mathrm{p}-1\mathrm{n}}$ for nuclei with $Z=N$ or $Z=N+1$ are not included. See the text for details.Reuse & Permissions

Figure 2

Deviations (in units of keV) of our calculated $\delta V_{1\mathrm{p}-1\mathrm{n}}$ by using Eqs. (5, 6, 7, 8) with respect to those extracted from experimental binding energies [see Eq. (1)], for the nuclei with $A⩾16$.Reuse & Permissions

Figure 3

The theoretical errors (${\sigma }_{\mathrm{th}}$) associated with our formulas versus mass number $A$. Panel (a), (b), and (c) [(d), (e), and (f)] correspond to Eq. (9) [Eq. (10)] for even-even, odd-$A$, and odd-odd nuclei, respectively. The results of ${\sigma }_{\mathrm{th}}$ are obtained for selected sets of nuclei with $n=1$ to 4 for Eq. (9) and $n=1$ to 8 for Eq. (10), and the smooth curves are plotted by fitting these calculated ${\sigma }_{\mathrm{th}}$.Reuse & Permissions

Figure 4

Comparison between masses (in units of keV) obtained in recent measurements, those predicted in the AME2003 extrapolations (solid circles in blue), and our new approach (solid squares and diamonds in red). The references in this figure are as follows: Rahaman 2007 [40], Baruah 2008 [41], Hakala 2008 [42], Sun 2008 [43], Savory 2009 [44], Delahaye 2006 [45], Kankainen 2006 [46], Haettner 2011 [47], Weber 2008 [48], Breitenfeldt 2010 [49], Elomaa 2009 [50], Chen unpublished [51], Chen 2010 [52], Neidherr 2009 [53].Reuse & Permissions

Figure 5

Same as Fig. 4 for ${}^{85}$Mo, ${}^{87\sim 89}$Tc, and ${}^{123}$Ag, but predicted results here are recalculated based on new experimental data of masses [43, 46, 47, 48, 49] for their neighboring nuclei which are involved in Eqs. (8, 9). One sees substantial improvement of consistency between the predicted results and experimental data. The references in this figure are as follows: Haettner 2011 [47], Weber 2008 [48], Sun 2008 [43], and Breitenfeldt 2010 [49].Reuse & Permissions