Abstract
The conditions that the tachyon pole of the σ meson propagator in nuclear matter appears are studied in the one-loop approximation in the relativistic the σ-ω model. Different from the results of the previous paper, we find that the effect of the constant the a in the self-interaction, , of the σ meson cannot be neglected. It determines the critical density where tachyon appears. The smaller the a, the larger the critical density. The binding energy, pressure, incompressibility coefficient, nucleon effective mass are calculated and the relation between parameters to the tachyon pole is also studied.
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