An upper bound on the total inelastic cross-section as a function of the total cross-section

摘要

Recently Andr\'e Martin has proved a rigorous upper bound on the inelasticcross-section $\sigma_{inel}$ at high energy which is one-fourth of the knownFroissart-Martin-Lukaszuk upper bound on $\sigma_{tot}$. Here we obtain anupper bound on $\sigma_{inel}$ in terms of $\sigma_{tot}$ and show that theMartin bound on $\sigma_{inel}$ is improved significantly with this addedinformation.