Soliton Solutions of F-L Model in the Whole Range of Temperature and Deconfinement Transition

The non-topological soliton bag model of Friedberg and Lee (F-L model), whichis developed by Goldflam and Wilets and others, has been much successful indescribing phenomenologically the static properties of hadrons and their behavior atlow energy. Particularly, with the finding of the numerical soliton solution for thespecial case of temperature being zero and bag constant B=0^+, the model affordsus a very intuitive physical explanation of the color confinement in QCD theory.For other different values of B, especially for non-trivial temperature, someinvestigation on the deconfinement transition has been made in Ref.[3], etc. byanalyzing the variation condition in which soliton solutions exist, but it remains to besettled to find the concrete solutions. In this note, we will solve directly the