11.3 A collection of free nucleons is enclosed in a box of volume V. The energy of a single nucleon of momentum p is p? + mc? 2m %3D where mc? = 1000 MeV. a) Pretending that there is no conservation law for the number of nucleons, calculate the partition function of a system of nucleons (which obey Fermi statistics) at temperature T. b) Calculate the average energy density. [c) Calculate the average particle density. (d) Discuss the necessity for a conservation law for the number of nucleons, in the light of the foregoing calculations.

11.3 A collection of free nucleons is enclosed in a box of volume V. The energy of a single nucleon of momentum p is p? + mc? 2m %3D where mc? = 1000 MeV. a) Pretending that there is no conservation law for the number of nucleons, calculate the partition function of a system of nucleons (which obey Fermi statistics) at temperature T. b) Calculate the average energy density. [c) Calculate the average particle density. (d) Discuss the necessity for a conservation law for the number of nucleons, in the light of the foregoing calculations.