Solutions of the pion dispersion equation in the medium: new aspects
V. A. Sadovnikova
Abstract
In symmetrical nuclear matter the solutions of pion dispersion equation are investigated in the complex plane of the pion frequency ω. There are three well-known branches of solutions on the physical sheet : sound, pion and isobar, at the matter density less than the critical one ρ<ρc. At ρ>ρc the fourth branch appears on the physical sheet. For this branch the condition ω2c≤0 (in general case Reω2c≤0) takes place. This points out the instability of the ground state which is possibly related to the pion condensation.
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