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Lomax et al. have constructed an ensemble of 60 prestellar cores havingmasses, sizes, projected shapes, temperatures and non-thermal radial velocitydispersions that match, statistically, the cores in Ophiuchus; and havesimulated the evolution of these cores using SPH. Each core has been evolvedonce with no radiative feedback from stars, once with continuous radiativefeedback, and once with episodic radiative feedback. Here we analyse themultiplicity statistics from these simulations. With episodic radiativefeedback, (i) the multiplicity frequency is ~60% higher than in the field; (ii)the multiplicity frequency and the mean semi-major axis both increase withprimary mass; (iii) one third of multiple systems are hierarchical systems withmore than two components; (iv) in these hierarchical systems the inner pairingstypically have separations of a few au and mass ratios concentrated towardsunity, whereas the outer pairings have separations of order 100 au and aflatter distribution of mass ratios. The binary statistics are compatible withobservations of young embedded populations, and -- if wider orbits aredisrupted preferentially by external perturbations -- with observations ofmature field populations. With no radiative feedback, the results are similarto those from simulations with episodic feedback. With continuous radiativefeedback, brown dwarfs are under-produced, the number of multiple systems istoo low, and the statistical properties of multiple systems are at variancewith observation. This suggests that star formation in Ophiuchus may only berepresentative of global star formation if accretion onto protostars, and henceradiative feedback, is episodic.

Simulations of star formation in Ophiuchus, II: Multiplicity