Tidal capture refers to independent bodies entering orbit when passing close, by slowing down relative to each other through tidal forces between them. It affects only non-ridged bodies such as stars, or planets that have sizeable envelopes. It is an alternative to dynamic capture aka three-body capture, where gravity from a third body slows the relative motion of the two entering orbit. Tidal capture may be a significant means by which binary stars are formed (i.e., tidal-capture binaries) in volumes that have a very high density of stars, such as the central regions of globular clusters.
Both tidal or dynamic capture require a happenstance of bodies passing close, but dynamic capture should be far more rare since it requires the coincidence of a third body passing close as well. Likely more common is a swap, an interaction between a binary star and an additional star such that one of the binary pair ends up as a binary with the other star.