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We have studied the temperature-pressure phase diagram of CeCoSi byelectrical-resistivity experiments under pressure. Our measurements revealed avery unusual phase diagram. While at low pressures no dramatic changes and onlya slight shift of the Ne\'{e}l temperature $T_N$ ($\approx 10$ K) are observed,at about 1.45 GPa a sharp and large anomaly, indicative of the opening of aspin-density-wave (SDW) gap, appears at a comparatively high temperature $T_S\approx 38$ K. With further increasing pressure $T_S$ shifts rapidly to lowtemperatures and disappears at about 2.15 GPa, likely continuously in a quantumcritical point, but without evidence for superconductivity. Even moresurprisingly, we observed a clear shift of $T_S$ to higher temperatures uponapplying a magnetic field. We discuss two possible origins for $T_S$, eithermagnetic ordering of Co or a meta-orbital type of transition of Ce.

Temperature - pressure phase diagram of CeCoSi: Pressure induced high-temperature phase