The physical properties of the very heavy fermion YbCu$_4$Ni were characterized through structural, magnetic, thermal and transport studies along nearly four decades of temperature ranging between 50 milikelvin and 300 K. At high temperature, the crystal electric field levels splitting was determined with $Delta_1 (Gamma_6)= 85$ K and $Delta_2 (Gamma_8) approx 200$ K, the latter being a quartet in this cubic symmetry. An effective magnetic moment $mu_{eff} approx 3mu_B$ is evaluated for the $Gamma_7$ ground state, while at high temperature the value for a Yb$^{3+}$ ion is observed. At low temperature this compounds shows the typical behavior of a magnetically frustrated system undergoing a change of regime at a characteristic temperature $T^*approx 200$ mK into a sort of Fermi-liquid type plateauof the specific heat: $C_m/T|_{Tto 0}$ = const. The change in the temperature dependence of the specific heat coincides with a maximum and a discontinuity in respective inductive and dissipative components of the ac-susceptibility. More details from the nature of this ground state are revealed by the specific heat behavior under applied magnetic field.
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