Study of the temperature dependence of the λ-transition of He4 inside a carbon nanotube

We report the results of iterative calculations of the temperature dependence of the λ-transition and distribution for the superfluid density of He4 absorbed in a narrow single-wall carbon nanotube in the vicinity of the λ-transition. The calculations were made for different values of the carbon nanotube diameter and values of the inoculating interaction V0 (the depth of a potential well). We demonstrate a decreasing of the temperature of the λ-transition and the superfluid density in He4 absorbed in a nanotube and find the appropriate 'temperature shift'