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The instability of nuclear matter due to particle-hole excitation modes hasbeen studied in the frame-work of several relativistic mean field (RMF) models.It is found that both the longitudinal and the transversal modes dependsensitively on the parameter sets used. The important impact of the vector andvector-scalar nonlinear terms on the stability of both modes is demonstrated.Our finding corroborates the result of previous studies, namely that certainRMF models cannot be used in high density applications. However, we show thatfor certain parameter sets of RMF models this shortcoming can be alleviated byadding these nonlinear terms.

Instabilities of relativistic mean field models and the role of nonlinear terms