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The presence of multiple populations (MPs) in almost all globular clusters(GCs) older than ~10 Gyr, has caught lots of attention. Recently, cumulativeevidence indicates that extragalactic GCs that are older than 2 Gyr, seem toalso harbor MPs, however, those that are younger than 2 Gyr do not. Theseobservations seem to imply that age is a primary property that controls thepresence of MPs in star clusters. However, because of the lack of studies of{intermediate-age (~2--6 Gyr-old),} low mass clusters, it is unclear if thecluster mass, in addition to age, also plays a role in the occurrence of MPs.In this work, we studied a $\sim$4 Gyr-old, low mass (~23,000 Msun) cluster,Lindsay-113, in the Small Magellanic Cloud. Using Hubble Space Telescopephotometry, we find that the width of the red-giant branch in this cluster,when measured in a specific color index that is sensitive to star-to-starchemical variations, {can be adequately explained by a "simple" stellarpopulation model with some possible noises contributed from measurementuncertainty, photometric artifact, as well as differential reddening. Thecomparison of observations with predictions from synthetic spectra indicatesthat the internal chemical spread in nitrogen abundance, which is a signatureof MPs, would not exceed 0.2 dex. Since Lindsay 113 is significantly older thanother GCs with MPs, we suggest that the onset of MPs is likely determined bythe combination of cluster age and mass.

When does the onset of multiple stellar populations in star clusters occur-II: No evidence of multiple stellar populations in Lindsay 113