The Close Binary Properties of Massive Stars across Different Environments within the LMC

We analyze 4,859 O-stars in the OGLE-III photometric survey of the LMC, including 415 eclipsing binaries (EBs). After accounting for the geometrical probability of eclipses, the period distribution of O-type binaries across $P$ = 2.5-200 days follows a power-law $f_{\rm logP}$ $\propto$ (logP)$^{\Pi}$ with $\Pi$ = $-$0.34$\pm$0.06, which is skewed toward shorter periods compared to Opik's law ($\Pi$ = 0). We divide our O-stars into seven environments based on their clustering with B-stars and other O-stars. The EB fraction of O-stars in young clusters is 10.2%$\pm$0.6%, which matches the 10.8%$\pm$2.1% for O-stars in young Milky Way clusters. O-stars in old clusters exhibit a lower EB fraction of 5.5%$\pm$0.9% due to the effects of binary evolution. O-stars in young dense clusters, young sparse associations, and even low-mass clusters that formed in situ in the field have similar EB fractions. This uniformity suggests that the formation of close massive binaries depends on small-scale gas physics, e.g., fragmentation and migration within protostellar disks, whereas N-body interactions that scale with cluster density do not affect the close binary properties of massive stars that remain in clusters. Conversely, ejected O-stars in the field exhibit a lower close binary fraction. The EB fractions of field walkaways (projected velocities $v_{\rm proj}$ $<$ 24.5 km s$^{-1}$) and field runaways ($v_{\rm proj}$ $>$ 24.5 km s$^{-1}$) are 7.3%$\pm$1.0% and 4.7%$\pm$1.0%, respectively. These values suggest that most field O-stars were dynamically ejected via N-body interactions from their birth clusters, whereas field O-stars that formed in situ or were kicked from supernova explosions in binaries contribute 17% and $<$28%, respectively, to the field population.