ON THE STATE OF A FERMI-SYSTEM OF PAIRS OF PARTICLES WITH PARALLEL SPINS. PART I

Technical Report · Thu Jan 01 04:00:00 EST 1959

OSTI ID:4215731

Galasiewicz, Z

The solution of a compensation equation of dangerous graphs, for a system of interacting Fermi particles, as an odd function of wave vectors is investigated. It is shown that this solution leads to the anomalous state the energy of which is smaller than the energy of the normal state. The energy difference is equal to the binding energy of the pairs of fermions with parallel spin-moments. This anomalous state can exist in the presence of the repulsive Coulomb interactions. The elementary excitations are separated from the ground state by a gap the width of which depends on the direction of the wave vector. For the direction perpendicular to the spin direction, energy gap is zero and therefore the state cannot be superconducting. The binding energy of the pairs and the width of the energy gap are of the same order as in the theory based on the creation of pairs with antiparallel spinmoments, where in the expansion of the interaction term in spherical harmonics, the first coefficient is more than three times greater than the zero coefficient. In the absence of the magnetic field the total spin of a system is zero. In the presence of the magnetic field the total spin differs from zero. The paramagnetic susceptibility is calcutated. (auth)

• Research Organization: Joint Inst. for Nuclear Research, Dubna, U.S.S.R. Lab. of Theoretical Physics
• NSA Number: NSA-14-004605
• OSTI ID: 4215731
• Report Number(s): NP-8140
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BINDING ENERGY
CONFIGURATION
ENERGY LEVELS
EXCITATION
FERMIONS
FIELD THEORY
INTERACTIONS
MAGNETIC FIELDS
MAGNETISM
PARAMAGNETISM
PHYSICS
SPIN
SUPERCONDUCTIVITY
SUSCEPTIBILITY
WAVE MECHANICS