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 \sim 10 ^ { 51 } erg if protoquark stars are born with temperatures higher than \sim ( 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 .