Abstract
Starting from the extended Nambu-Jona-Lasinio (ENJL) model, we show that in nuclear matter the Lifshitz phase transition (LPT) takes place at suprasaturation density and zero temperature, while it is subsaturation transition in neutron matter. At finite temperature $T$ and nucleon chemical potential $\ensuremath{\mu}$ the phase diagram in the $(T,\ensuremath{\mu})$ plane for nuclear and neutron matters is established with the existence of corresponding tricritical points (TCP) which separate the first- and half-order from the second-order phase transitions. Many properties of the LPT are cleared up throughout the investigation of equations of state and other thermodynamic quantities. How to experimentally identify the LPT in nuclear matter is discussed.
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