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15Complex Systems of Charged Particles and their Interactions with Electromagnetic Radiation 2017
LOW-FREQUENCY SINGULARITY OF THE PERMITTIVITY OF THE COULOMB MODEL OF SYSTEM WITH BOSE-EINSTEIN CONDENSATE OF NUCLEI
V.B. Bobrov and S.A. Trigger
Joint Institute for High Temperatures of the Russian Academy of Sciences, Moscow
The second-order singularity is found in the low-frequency region of the permittivity s(ro) of a homogeneous and isotropic system of charged particles consisting of electrons and boson nuclei s(ro) - ro2 BEC/ro2 ,where ro Bec = (4nZ e2nBEC/mc)1/2is the characteristic frequency of the Bose-
condensed nuclei with the density nBEC and the mass mc and charge Z. Above the transition temperature Tc the value nBEC equals zero. 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 [1]. The results of the proposed experiment can be considered as a direct proof of the existence of a Bose-Einstein condensate in superfluid He II.
References
[1] V.B. Bobrov, S.A. Trigger, Frequency depending permittivity of the Coulomb system with Bose-Einstein condensate, arXiv:1511.01336 Quantum Gases (cond-mat.quant-gas)
