Frequency depending permittivity of Coulomb system with the Bose–Einstein condensate

Abstract

The second-order singularity is found in the low-frequency region of the permittivity of a homogeneous and isotropic system of charged particles consisting of electrons and boson nuclei. This singularity is caused by the existence of a Bose-Einstein condensate for nuclei. The result obtained leads to the existence of the "nuclei superconductivity", which can be experimentally verified in superfluid He II. The results of the proposed an experiment can be considered as a direct proof of the existence of a Bose-Einstein condensate in superfluid He II. PACS number(s): 05.30.Jp, 52.25.Mq, 03.75.Kk, 03.75.Nt