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We evaluate the sub-halo stream crossing integral with the guidance of simulations to find that the linear rate of gap creation, R_gap, in a typical Cold Dark Matter (CDM) galactic halo at 100 kpc is R_gap = 0.0066 M_8^-0.35 kpc^-1 Gyr^-1$, where M_8 = M/10^8 M_sun, is the minimum mass halo that creates a visible gap. The relation can be recast entirely in terms of observables, as R_gap= 0.059 w^-0.85 kpc^-1 Gyr^-1, for w in kpc, normalized at 100 kpc. 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Carlberg","submitted_at":"2011-09-27T20:02:31Z","abstract_excerpt":"Dark matter sub-halos create gaps in the stellar streams orbiting in the halos of galaxies. We evaluate the sub-halo stream crossing integral with the guidance of simulations to find that the linear rate of gap creation, R_gap, in a typical Cold Dark Matter (CDM) galactic halo at 100 kpc is R_gap = 0.0066 M_8^-0.35 kpc^-1 Gyr^-1$, where M_8 = M/10^8 M_sun, is the minimum mass halo that creates a visible gap. The relation can be recast entirely in terms of observables, as R_gap= 0.059 w^-0.85 kpc^-1 Gyr^-1, for w in kpc, normalized at 100 kpc. 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