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We report the specific heat (SH) measurements on single crystals of holedoped $FeAs$-based superconductor $Ba_{0.6}K_{0.4}Fe_2As_2$. It is found thatthe electronic SH coefficient $\gamma_e(T)$ is not temperature dependent andincreases almost linearly with the magnetic field in low temperature region.These point to a fully gapped superconducting state. Surprisingly the sharp SHanomaly $\Delta C/T|_{T_c}$ reaches a value of 98 $mJ/mol K^2$ suggesting avery high normal state quasiparticle density of states ($\gamma_n \approx 63mJ/mol K^2$). A detailed analysis reveals that the $\gamma_e(T)$ cannot befitted with a single gap of s-wave symmetry due to the presence of a hump inthe middle temperature region. However, our data indicate that the dominantpart of the superconducting condensate is induced by an s-wave gap with themagnitude of about 6 meV.

Fully Gapped Superconducting State Based on a High Normal State Quasiparticle Density of States in Ba$_{0.6}$K$_{0.4}$Fe$_2$As$_2$ Single Crystals