  We present deep single-dish HI observations of a sample of six nearby E+A
galaxies (0.05<z<0.1). A non-negligible fraction of a local sample of E+As are
detected in HI. In four galaxies, we have detected up to a few times 10^9 Msun
of neutral gas. These E+A galaxies are almost as gas-rich as spiral galaxies
with comparable luminosities. There appears to exist no direct correlation
between the amount of HI present in an E+A galaxy and its star-formation rate
as traced by radio continuum emission. Moreover, the end of the starburst does
not necessarily require the complete exhaustion of the neutral gas reservoir.
Most likely, an intense burst of star formation consumed the dense molecular
clouds, which are the sites of massive star formation. This effectively stops
star formation, even though copious amounts of diffuse neutral gas remain. The
remaining HI reservoir may eventually lead to further episodes of star
formation. This may indicate that some E+As are observed in the inactive phase
of the star-formation duty cycle.
