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Zhur. Eksptl'. i Teoret. Fiz.

COLLECTIVE EXCITATIONS OF PARTICLES WITH NON-ZERO ANGULAR MOMENTUM PAIRING

Валентин Григорьевич Вакс, Viktor Mikhaĭlovich Galit︠s︡kiĭ, A. I. Larkin

Published May 1, 1962• 0 citations
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Abstract

Collective excitations are considered for a system of Fermi particles for which attraction in a state with nonzero angular momentum is predominant. In such a system, beside sound excitations, other collective excitations without a gap in the energy spectrum will exist. The velocity of these excitations can be expressed in terms of the gap in the single-particle excitation spectrum. It is pointed out that the solution for the ground state function with DELTA (n)~Y/sub 22/ (n) is unstable. (auth)

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Spectrum on elementary excitations in superfluid Bose--Fermi systems

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•Sep 1, 1973•0 citations
Collective excitations are considered for a system of Fermi particles for which attraction in a state with nonzero angular momentum is predominant. In such a system, beside sound excitations, other collective excitations without a gap in the energy spectrum will exist. The velocity of these excitations can be expressed in terms of the gap in the single-particle excitation spectrum. It is pointed out that the solution for the ground state function with DELTA (n)~Y/sub 22/ (n) is unstable. (auth)
A number of problems involving the spectrum of elementary excitations of superfluid Fermi systems were studied by the methods of quantum field theory. A system with direct binary interaction is considered at zero and non-zero temperature, as well as an electron-phonon system at absolute zero. On finding Schwinger's equations for oneparticle Greene functions, use was made of the ground state approximation proposed by N. N. Bogoliubov, i.e., a formalism was applied which does not preserve the full number of particles. (auth)
An equation set describtng single particle excitations for excitation energies which are small compared with the chemical potential of the system can be obtained by investigating the analytical properties of the Green's functions and taking into account pair correlation. The equations are valid for an arbitrary interaction law. Equations are derived which describe the excited states of a system with a finite number of particles with an accuracy to terms of the order of N/sup -//sup 1//sup ///sup 3/ It is indicated how the results can be applied to real nuclei. (auth)
The spectrum of elementary excitations in the system of interacting Bose- and Fermi-particles was obtained at a temperature of absolute zero (Dose- condensation being taken into account by means of the Bogolyabov canonic transformations. In terms of a model of permeable spheres'' with finite repulsion it(is shown that the boson spectrum omega (p) in a definite region of parameter has the minimum at p = 0. By selecting parameters one succeeds in obtaining a quite satisfactory quantitative agreement of the theoretical and experimental spectra for superfluid helium. In the case when the Fermi energy is considerably higher than the bosorins maximum energy, a gap characterizing bond energy of the copper pairs can appear in the fermion speetrum due to exchange of virtual supercondensate'' bosons. If in this case the interaction between fermions at infinity is of attraction character, then under certain conditions sustained longitudinal collective excitations of Pose-type with a finite gap'' in the energy spectrum may exist in the superfluid fermion subsystem. Possibility of appearance of similar excitations in superfluid nuclear matter of neutron stars (pulsars) due to gravitational interaction between nucleons is discussed. (auth)