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The red giant branch (RGB) of globular clusters (GCs) is home to some exoticstars, which may provide clues on the formation of multiple stellar populationsin GCs. It is well known that binary interactions are responsible for manyexotic stars. Thus, it is important to understand what fraction of stars on theRGB of GCs is the result of binary interactions. In this paper, we performed abinary population synthesis study to track the number ofpost-binary-interaction (post-BI) stars that appear on the RGB, with particularemphasis on the evolved blue straggler stars (E-BSSs). Assuming an initialbinary fraction of nearly 50%, we find that about half of the objects on theRGB (called giants) underwent the binary interactions, and that E-BSSs accountfor around 10% of the giants in our standard simulation. We also compare theproperties of post-BI giants that evolved from different channels. We find thatthe initial orbital period and mass ratio distributions significantly affectthe fraction of post-BI giants. Our results imply that the non-standard starsfrom binary interactions provide a non-negligible contribution to the RGB starsin GCs, which should be considered in future investigations of the origin ofmultiple stellar populations.

The fractions of post-binary-interaction stars and evolved blue straggler stars on the red giant branch of globular clusters