Large area mapping at 850 microns. III. Analysis of the clump distributionin the Orion B molecular cloud

We present results from a survey of a 900 arcmin(2) region of the Orion B m olecular cloud, including NGC 2068, NGC 2071, and HH 24/25/26, at 850 mum u sing the Submillimeter Common-User Bolometer Array (SCUBA) on the James Cle rk Maxwell Telescope. Following the techniques developed by Johnstone et al ., we identify 75 independent objects and compute size, flux, and degree of central concentration. Comparison with isothermal, pressure-confined, self -gravitating Bonnor-Ebert spheres implies that the clumps have internal tem peratures of 20-40 K and surface pressures 5.5 < log P/k < 6.5. The clump m asses span 0.2-12.3 M-circle dot assuming typical dust temperatures and a d ust emissivity kappa (850) = 0.01 cm(2) g(-1). The distribution of clump ma sses is well characterized by a power-law N(M) proportional to M-alpha with alpha = 1.5-2.0 for M > 1.0 M-circle dot. Significant incompleteness makes determination of the slope at lower masses difficult. The two-point correl ation function of the clump separations is measured revealing clustering on size scales r < 1.5 x 10(5) AU with a radial power-law exponent <gamma> = 0.75.