Abstract: In order to over come the difficulty of the big bang model of the universe not tallying with the observation and the experiments,the universe inflation model was put forward,which requires that the inflation of the universe take place at the time １０^－３５　ｓ and the energe scale 104　GeV,the energy scale decrease to 109　GeV due to the inflation,and the universe be heated again to 104　GeV at the time  １０^－３２　ｓ　after the inflation ended.One of possible explanations is that at the time １０^－３５　ｓ the pairs of the supersynunetry companions Ｙ＋２／３ＴＢ and Ｙ－＋２／３ＴＢ of Fermi type quark Ｔ２／３Ｆ were annihilated and converted into pairs of photons and the back ground energy of the universe abruptly rose.As a result of it,the universe was heated again and inflated.

Key words: universe inflation, phase transition, re-heating of the universe, supersymmetry, early universe nucleon