The method of construction of the wavefunction of a Cooper pair based on the Pauli exclusion principle and the Mackey-Bradley theorem is developed. Tables of symmetrized and antisymmetrized Kronecker squares of single- and double-valued irreducible representations of the groups Oh6 and D6h4 are obtained. The tables are used to search for points in the Brillouin zone where totally symmetric Cooper pairs can exist. It is shown that, in the symmetrical points and directions in a Brillouin zone, a direct connection between the multiplicity and parity of the Cooper pair wavefunction does not exist.

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It is shown that a specific form of the electric discharge with bulk glow in the entire space between electrodes and an increasing current-voltage characteristic inherent to the anomalous glow discharge in gas can exist in a liquid exposed to an intense ultrasonic field above the cavitation threshold. Such a discharge can be initiated between planar or rod electrodes in liquid in the mode of developed cavitation excited by an ultrasonic acoustic field. It is found that a plasma pinch is formed during cavitation between electrodes immersed into liquid. The pinch is stable at relatively low voltages (∼30-60 V) and currents (4-8 A).

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