The reactions p + n --> d + omega and p + n --> d + phi near threshold

The reactions p+n-->d+omega and p+n-->d+phi are studied within a relativistic meson-exchange model of hadronic interactions. Predictions for the total cross sections and for the angular distributions of the vector mesons are presented. The resulting cross sections near threshold are around 10 - 30 microb for p+n-->d+omega$ and 200 - 250 nb for p+n-->d+phi. A moderate deviation of the cross section ratio sigma_{p+n-->d+phi} / sigma_{p+n-->d+omega} from that of the Okubo-Zweig-Iizuka rule is predicted.Comment: 12 pages, 7 figure

Upper large deviations for the maximal flow in first passage percolation

We consider the standard first passage percolation in $\mathbb{Z}^{d}$ for $d\geq 2$ and we denote by $\phi_{n^{d-1},h(n)}$ the maximal flow through the cylinder $]0,n]^{d-1} \times ]0,h(n)]$ from its bottom to its top. Kesten proved a law of large numbers for the maximal flow in dimension three: under some assumptions, $\phi_{n^{d-1},h(n)} / n^{d-1}$ converges towards a constant $\nu$. We look now at the probability that $\phi_{n^{d-1},h(n)} / n^{d-1}$ is greater than $\nu + \epsilon$ for some $\epsilon >0$, and we show under some assumptions that this probability decays exponentially fast with the volume of the cylinder. Moreover, we prove a large deviations principle for the sequence $(\phi_{n^{d-1},h(n)} / n^{d-1}, n\in \mathbb{N})$.Comment: 27 pages, 4 figures; small changes of notation