Against the possibility of the observation of the free quarks in the melting of nucleons
In the paper the thermal energy transfer for elementary particles is described. The quantum heat transport equation is obtained. It is shown that for thermal excitation of the order of the relaxation time the excited matter response is quantized on the different levels (atomic, nuclear, quark) with quantum thermal energy equal E^{atomic}=9 eV, E^(nuclear)=7 MeV and E^{quark}=139 MeV. As the result the quantum for the heating process of nucleons is the pi-meson (consisting of the two quarks). Keywords: Heat quanta; Quantum heat transport; Quantum diffusion coefficient.