Standing Pion Waves in Superdense Matter

Abstract

Previous results for the ground-state energies of systems of nucleons interacting with a condensed running-wave mode of ${\pi }^{-}$ mesons are extended to the case of standing-wave modes. The onset density of the condensation turns out to be the same as in the running-wave case; at higher densities the standing-wave case has a somewhat lower energy, at least in the case in which ordinary nuclear forces are not taken into account. There are reasons to believe that the effects of these nuclear forces on the condensation will be much greater for the standing-wave case than for the running-wave case. The possibilities of ${\pi }^{+}$ and ${\pi }^0$ condensation are discussed.