Core collapse of massive stars resulting in a relativistic fireball jet which breaks through the stellar envelope is a widely discussed scenario for $\gamma$-ray burst production. For very extended or slow rotating stars, the jet may be unable to break through the envelope. Both penetrating and choked jets will produce, by photomeson interactions of accelerated protons, a burst of $\gtrsim 5\mathrm{TeV}$ neutrinos while propagating in the envelope. The predicted flux, from both penetrating and choked jets, should be easily detectable by planned $1{\mathrm{km}}^3$ neutrino telescopes.

• Received 17 March 2001

DOI:https://doi.org/10.1103/PhysRevLett.87.171102