  In this letter we propose a possible mechanism trying to alleviate the
current difficulty in core-collapse supernovae by forming a strange quark star
inside the collapsing core. Although the initial longtime cooling behavior of
nascent strange stars is dominated by neutrino emissions, thermal emissions
including photons and $e^\pm$ pair plasma do play a significant role in the
explosion dynamics under this picture. The key to promote a successful shock
outside a bare strange star is more likely to be the radiation pressure caused
by thermal photons rather than neutrinos in conventional models. We observed
through calculation that radiation pressure can push the overlying mantle away
through photon-electron scattering with energy (the work done by radiation
pressure) as much as ~10^{51} erg if protoquark stars are born with
temperatures higher than ~ (30-40) MeV. This result not only indicates that
strange quark stars should be bare ever since their formations, it could also
provide a possible explanation to the formation of fireballs in cosmic
long-soft $\gamma$-ray bursts associated to supernovae.

Astrophysics;High Energy Physics - Phenomenology