Stability of Nuclear Matter

Abstract

The stability condition for a model of collective excitations of nuclear matter due to Glassgold, Heckrotte, and Watson is derived; it is shown that it may be satisfied for the actual parameters (nuclear radius, strength of potential, etc.). It is possible that nuclear matter is stable in their approximation, although there is no compressional collective mode. The stability condition seems to imply values of $\eta$, the radius parameter used by Karplus and Watson, equal to or smaller than those values obtained from their simple saturating nuclear model.