On the relation between the long-wave instability and the pion condensation in nuclear matter
Abstract
The solutions to the zero-sound frequency equation and pion dispersion equation are considered for the different values of the parameters of the effective particle-hole interaction. The branches of solutions, responsible for the long-wave instability [Pomeranchuk] of the nuclear matter ωP(k) are presented for the both equations. It is shown that in the pion dispersion equation the solutions ωP(k) result in the instability not only for values of the spin-isospin constant g'≤ -1/2, violating stability criteria, but for all g' < g'p (|g'p| 1 and g'p < 0). At g' > g'p the branches ωP(k) turn into the solutions responsible for pion condensation.
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