Some questions in the theory of a superfluid Fermi liquid with triplet pairing in a magnetic field

General expressions are obtained in explicit form for the anomalous and nor mal distribution functions of quasiparticles in nonunitary phases of a supe rfluid paramagnetic Fermi liquid consisting of electrically neutral fermion s with triplet pairing (the pairs have spin s=1 and an arbitrary odd value of the orbital angular momentum l) in a uniform static magnetic field. A ge neralized Fermi-liquid approach is used which takes into account the exchan ge Fermi-liquid interaction but does not specify the form of the energy fun ctional of the superfluid Fermi liquid. The results are valid at any temper ature in the interval 0 less than or equal toT less than or equal toT(c), w here T-c is the temperature of the phase transition from the normal to the superfluid state. When an explicit form of the energy functional is specifi ed, the general formulas for the distribution function can be used to descr ibe the various nonunitary phases of a superfluid Fermi liquid of the He-3 type in a high magnetic field. In particular, for He-3-A(1), He-3-A(2), and the nonunitary two-dimensional phase of He-3 in a high magnetic field at 0 less than or equal toT less than or equal toT(c), an energy functional qua dratic in the distribution function is used to find a system of coupled equ ations for the order parameter and the effective magnetic field and to obta in an expression is obtained for the nonlinear magnetic susceptibility. (C) 2000 American Institute of Physics. [S1063-777X(00)00111-0].