Peeking beneath the precision floor - I. Metallicity spreads and multiple elemental dispersions in the globular clusters NGC 288 and NGC 362

The view of globular clusters (GCs) as simple systems continues to unravel, revealing complex objects hosting multiple chemical peculiarities. Using differential abundance analysis, we probe the chemistry of the Type I GC, NGC 288 and the Type II GC, NGC 362 at the 2 percent level for the first time. We measure 20 elements and find differential measurement uncertainties of the order of 0.01-0.02 dex in both clusters. The smallest uncertainties are measured for Fei in both clusters, with an average uncertainty of similar to 0.013 dex. Dispersion in the abundances of Na, Al, Tii, Ni, Fei, Y, Zr, Ba, and Nd are recovered in NGC 288, none of which can be explained by a spread in He. This is the first time, to our knowledge, a statistically significant spread in s-process elements and a potential spread in metallicity has been detected in NGC 288. In NGC 362, we find significant dispersion in the same elements as NGC 288, with the addition of Co, Cu, Zn, Sr, La, Ce, and Eu. Two distinct groups are recovered in NGC 362, separated by 0.3 dex in average differential s-process abundances. Given strong correlations between Al and several s-process elements, and a significant correlation between Mg and Si, we propose that the s-process rich group is younger. This agrees with asymptotic giant branch star (AGB) enrichment between generations, if there is overlap between low- and intermediate-mass AGBs. In our scenario, the older population is dominated by the r-process with a Delta(La)-Delta(Eu) ratio of -0.16 +/- 0.06. We propose that the r-process dominance and dispersion found in NGC 362 are primordial.