arXiv subjects
Publications and source records attributed to André Martin.
We show that if for fixed negative (physical) square of the momentum transfer t, the differential cross-section ${dσ\over dt}$ tends to zero and if the total cross-section tends to infinity, when the energy goes to infinity, the real part of the even signature amplitude cannot have a constant sign near t = 0.
We establish the asymptotic behaviour of the ratio $h^\prime(0)/h(0)$ for $λ\rightarrow\infty$, where $h(r)$ is a solution, vanishing at infinity, of the differential equation $h^{\prime\prime}(r) = iλω(r) h(r)$ on the domain $0 \leq r <\infty$ and $ω(r) = (1-\sqrt{r} K_1(\sqrt{r}))/r$. Some results are valid for more general $ω$'s.
The mass of the $Ω^0_c$ baryon with quark content (ssc) is computed in a potential model whose parameters have been determined in 1981 by fitting the spectrum of heavy mesons. It is found in perfect agreement with a recent measurement at the CERN hyperon-beam experiment. The spectroscopy of other charmed baryons in potential models is briefly reviewed.