Entwicklung analytischer Funktionen auf Riemannschen Flächen

Ohne ZusammenfassungConstantin Carathéodory zum 70. Geburtstag in Verehrung gewidmet.     

Konvergente Folgen von Regularitätsbereichen und die Meromorphiekonvexität

Ohne Zusammenfassung     

Zur theorie der diophantischen Approximationen

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg -     

Inclusive measurement of [`(p)]\bar p annihilation at rest in gaseous hydrogen to final states containingρ andf2

Antiproton annihilation at rest in gaseous hydrogen (16 bar pressure) to the final states (770)X andf ₂(1270)X, whereX stands for one or more neutral mesons, has been studied at LEAR using the CPLEAR detector. Relative branching ratios are given forX = ⁰,2 ⁰, 3 ⁰ in the case, and forX = ⁰, in thef ₂ case. The annihilation channel has not been measured before. The fraction of P-wave annihilation is deduced from the ratiof ₂ ⁰/ ⁰ to be 0.38±0.07, in good agreement with the result previously obtained by CPLEAR from the ratioK ⁺ K ^-/ ^{+ -}.     

Niederkoordinierte Phosphorverbindungen. 60 [1]. Reaktionen von Iminomethylidenphosphanen mit Trimethylsilylphosphanen

Low-Coordinated Phosphorus Compounds. 60. Reactions of Iminomethylidenphosphanes with Trimethylsilylphosphanes The preparation of the new, monomer stable N-n-propyl-P-(2,4,6-tri-tertbutylphenyl)iminomethylidenphosphane 1 c is presented. The reactions of this compound and those of the already known iminomethylidenphosphanes 1a, b with trimethylsilylphosphanes are described. In non-polar solvents, 1,3-diphosphapropenes 4a—h respectively 1,3,4-triphospha-1-butenes 6a—d are obtained. In polar solvents, the reaction of 1b, c with phenyl-bis(trimethylsilyl) phosphane 3d results in the formation of 1,3,5-triphospha-1,4-pentadienes 7a, b and 8a, b through double addition. While tempering the new phosphacumulene 1c in solution, dimerisation occurs and yields the 1,3-diphosphetane 2c . The reaction of the 1,2-bis(trimethylsilyl)diphosphane 5b with 1c in acetonitrile produces the new 1,3,4,6-tetraphospha-1,5-hexadiene 9 . In contrast to analogous compounds with sterically less pretentious substituents at the double-bonded phosphorous, 9 shows no Cope-rearrangement.     

Pion correlations and resonance effects in [`(p)]p\bar pp annihilation at rest to 2π+2π-π0

We study ππ correlations in the exclusive reaction at rest with complete reconstruction of the kinematics for each event. Inclusive and differential distributions properly normalized show an enhancement for small invariant masses M ₊₊,M _-- of like-pion pairs. An even stronger enhancement is seen for the double differential distributions for low pion-pair masses. The signal is strongest when the π₀ energy is large and much weaker when this energy is small. Dynamical models with resonances in the final state are confronted with the data. For the kinematic situation where the ρ3π channel is important the simulation predicts a large pion correlation for the double differential density, qualitatively explaining the observed bahaviour. The stochastic HBT mechanism is not supported by these findings for the exclusive annihilation reaction studied.