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It is shown that the endpoint of the first order transition line which mergesinto a crossover regime in the phase diagram of the Nambu--Jona-Lasinio model,extended to include the six-quark 't Hooft and eight-quark interactionLagrangians, is pushed towards vanishing chemical potential and highertemperatures with increasing strength of the OZI-violating eight-quarkinteractions. We clarify a connection between the location of the endpoint inthe phase diagram and the mechanism of chiral symmetry breaking at the quarklevel. Constraints on the coupling strengths based on groundstate stability andphysical considerations are explained.

The phase diagram in the SU(3) Nambu-Jona-Lasinio model with 't Hooft and eight-quark interactions