Gibbs Paradox in Particle Physics

An attempt to understand the structure of particles by means of statistical mechanics is presented. This is accomplished by introducing the Gibbs paradox into particle physics. An interacting-particle model results with level density $\rho \mathrm{}\left(m\right)\mathrm{}$ in the range determined by ${\left[\rho \mathrm{}\right(m\left)\right]}^{-1\mathrm{}}=\phi \left(e^{-\beta m}\right)$, $\beta >0\mathrm{}$, and $\rho \mathrm{}\left(m\right)\mathrm{}\le e^{\gamma m\ln m}$, $\gamma >0\mathrm{}$, as $m\to \infty$. This result is to be contrasted to existing free-particle models which give an exponentially increasing mass spectrum.