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We investigate how star formation efficiency can be significantly decreasedby the removal of a molecular cloud's envelope by feedback from an externalsource. Feedback from star formation has difficulties halting the process indense gas but can easily remove the less dense and warmer envelopes where starformation does not occur. However, the envelopes can play an important rolekeeping their host clouds bound by deepening the gravitational potential andproviding a constraining pressure boundary. We use numerical simulations toshow that removal of the cloud envelopes results in all cases in a fall in thestar formation efficiency (SFE). At 1.38 free-fall times our 4 pc cloudsimulation experienced a drop in the SFE from 16 to six percent, while our 5 pccloud fell from 27 to 16 per cent. At the same time, our 3 pc cloud (the leastbound) fell from an SFE of 5.67 per cent to zero when the envelope was lost.The star formation efficiency per free-fall time varied from zero to $\approx$0.25 according to $\alpha$, defined to be the ratio of the kinetic plus thermalto gravitational energy, and irrespective of the absolute star forming massavailable. Furthermore the fall in SFE associated with the loss of the envelopeis found to even occur at later times. We conclude that the SFE will alwaysfall should a star forming cloud lose its envelope due to stellar feedback,with less bound clouds suffering the greatest decrease.

Can the removal of molecular cloud envelopes by external feedback affect the efficiency of star formation?