Diagnostic energy as a function of initial neutrino luminosity L _{ν0, 52}. The shaded area shows the energy difference between the models with (open circles) and without nuclear burning (crosses) for some selected t _d sequences. Left: the case of LC15 progenitor. It can be seen that energy difference tends to be large for less energetic models. Right: the case of WW15 progenitor. The energy difference is small even for less energetic models.