We present an update of our previous study (astro-ph/0112312) on how $ u$ oscillations affect the signal from a supernova core collapse observed in the LVD detector at LNGS. In this paper we use a recent, more precise determination of the cross section (astro-ph/0302055) to calculate the expected number of inverse beta decay events, we introduce in the simulation also the $ u$-{rm Fe} interactions, we include the Earth matter effects and, finally, we study also the inverted mass hierarchy case.
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