Superfluid transition temperature in the Fermi gas with repulsion with taking into account the perturbation theory higher orders

One derived corrections of the perturbation theory higher orders to the temperature of superfluid transition in slightly imperfect Fermi gas with repulsion. For this purpose one calculated the contribution of the diagrams of the 3-rd and the 4-th orders as to gas parameter into the efficient interaction governing the superfluid transition temperature and took account of the effects associated with delay and renormalization of the Green function pole part. The critical temperature is shown to be determined mainly by means of the 2-nd and the 3rd orders of the perturbation theory. One presents calculations of the superfluid transition temperature for the gas of the neutral Fermi-particles within magnetic field. One analyzed the application limits of the derived results as to 3He in 4He diluted solutions and the Fermi-gases of neutral particles in magnetic traps