
\sect{Consevation law for the number of nucleons}

%Baruch's  B24

A collection of free nucleons is enclosed in a box of volume
${V}$. The energy of a single nucleon of momentum ${\bf p}$ is
$\epsilon_{{\bf p}} = p^{2}/2m + mc^{2}$ where ${mc^{2}=1000MeV}$.
\begin{itemize}
\item [(a)]
Pretending that there is no conservation law for the number of
nucleons, calculate the partition function at temperature ${T}$.
(Nucleons are fermions).
\item [(b)]
Calculate the average energy density and average particle density.
\item [(c)]
In view of (a) and (b), discuss the necessety for a consevation
law for the number of nucleons.\\
\end{itemize}

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