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

TL;DR

This paper predicts a frequency-dependent permittivity singularity in a Coulomb system with Bose-Einstein condensate, suggesting a new form of 'nuclei superconductivity' that could be experimentally observed in superfluid helium II.

Contribution

It introduces the concept of a permittivity singularity caused by Bose-Einstein condensate of nuclei, proposing a novel experimental verification method.

Findings

Identifies a second-order singularity in permittivity at low frequencies.

Proposes 'nuclei superconductivity' as a new phenomenon.

Suggests experimental verification in superfluid He II.

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.