Self energies of the pion and the delta isobar from the ^3He(e,e'pi^+)^3H reaction

In a kinematically complete experiment at the Mainz microtron MAMI, pion angular distributions of the $^3$He(e,e'$\pi^+)^3$H reaction have been measured in the excitation region of the $\Delta$ resonance to determine the longitudinal ($L$), transverse ($T$), and the $LT$ interference part of the differential cross section. The data are described only after introducing self-energy modifications of the pion and $\Delta$-isobar propagators. Using Chiral Perturbation Theory (ChPT) to extrapolate the pion self energy as inferred from the measurement on the mass shell, we deduce a reduction of the $\pi^+$ mass of $\Delta m_{\pi^+} = (-1.7^{+ 1.7}_{- 2.1})$ MeV/c$^2$ in the neutron-rich nuclear medium at a density of $\rho = (0.057^{+ 0.085}_{- 0.057})$ fm$^{-3}$. Our data are consistent with the $\Delta$ self energy determined from measurements of $\pi^0$ photoproduction from $^4$He and heavier nuclei.Comment: Elsart, 12 pages and 4 figures, Correspondent: Professor Dr. Dr. h.c. mult. Achim Richter, [email protected], submitted to Phys. Rev. Let

Graph-based visual analytic tools for parallel coordinates

Parallel coordinates is a fundamental visualization technique in multivariate data visualization. Visual clutter is one of the inherent weaknesses in parallel coordinates. In this paper, we present two visual analytic tools, the Selection Graph and the Relation Graph, to reduce the visual clutter. The Selection Graph is a brushing tool which helps users highlight the regions of interest. The Relation Graph organizes clusters in a structural manner, providing an intuitive interface for users to explore relations among clusters. Both tools neither distort nor filter the underlying data in parallel coordinates. The experiments on several real datasets demonstrate the effectiveness of our tools. © 2008 Springer Berlin Heidelberg