Some New Features in the Pseudoscalar Meson and Vector Meson Photoproductions

We investigate the role of the t-channel meson exchange in various photoproduction processes to discuss features of the respective production mechanism. For the less model-dependent analysis we work with the t-channel meson pole reggeized in the Born approximation amplitude. With the meson–baryon coupling constants chosen consistently with symmetry prediction we show that the Reggeized pole model could reproduce the experimental data to a good degree in the lower energy region. Numerical consequences show the significance of the tensor meson exchange in the γ p → K ⁺Λ, the dominance of the pseudoscalar meson exchange in the πΔ (and KΣ*) processes, and the sizable role of the vector-meson magnetic moment in the charged ρ (and K*) photoproductions, respectively. These new features from the present analyses could provide a useful guide for future study of the N* resonances in the low energy region.     

Minimal forms wit respect to function fields of conics

Summary LetF be a field of characteristic ≠2, and let ϱ be an anisotropic conic overF. Anisotropic quadratic forms φ overF which become isotropic over the function fieldF(ϱ), but which do not contain proper subforms becoming isotropic, are calledF(ϱ)-minimal forms. It is investigated how upper bounds for the dimension ofF(ϱ)-minimal forms depend on certain properties and invariants of the fieldF. The existence of fieldsF and conics ϱ such thatF containsF(ϱ)-minimal forms of arbitrarily large (odd) dimension is proved. During the work on this article, the first author was a postdoc at the Institute for Experimental Mathematics, University of Essen, Germany, supported by a grant from the Deutsche Forschungsgemeinschaft This article was processed by the author using the LATEX style filecljour1 from Springer-Verlag.     

The moore-penrose inverse of a matrix over a semi-simpie artinian ring

Given an m-by-n matrix over a semi-simple artinian ring with aninvolutory automorphism, necessary and sufficient conditions are given for the matrix tao have a Moore—Penrose inverse. Moreover, expressions for the MP-inverse are obtained. These formulas may be considered as a generalization of the MacDuffee formula for the MP-inverse of a matrix over the complex numbers.     

Polynomials Annihilating the Witt Ring

Let F be a non-formally real field of characteristic not 2 and let W(F) be the Witt ring of F. In certain cases generators for the annihilator ideal are determined. Aim the primary decomposition of A(F) is given. For formally d fields F, as an analogue the primary decomposition of A_t(F) = {f(X) ∈ Z[X]| f(ω) = 0 for all ω ∈ W_t(F)}, where W_t(F) is the torsion part of the Witt group, is obtained.     

Levels and sublevels of composition algebras over \mathfrak{p}-adic function fields

In [7], the level and sublevel of composition algebras are studied, wherein these quantities are determined for those algebras defined over local fields. In this paper, the level and sublevel of composition algebras, of dimension 4 and 8 over rational function fields over local non-dyadic fields, are determined completely in terms of the local ramification data of the algebras. The proofs are based on the “classification” of quadratic forms over such fields, as is given in [8]. The first author gratefully acknowledges financial support provided through the European Community’s Human Potential Programme, under contract HPRN-CT-2002-00287 KTAGS, which made possible an enjoyable stay at Ghent University.     

Hydraulics of Peat Filters Treating Septic Tank Effluent

Peat is an alternative filter medium for the treatment of various waste streams including septic tank effluent. The water holding capacity and adsorption capacity of peat make it a favorable filter medium over sand or gravel which are commonly used as the filter medium for the drainage field of septic systems. This paper presents the results of a field study to evaluate the hydraulics of a peat filter used to treat the septic tank effluent from a public school west of Ottawa, Canada. An experimental box was placed within the filter during its construction to provide access to the vertical profile of the peat layer. The filter is periodically pulsed with septic tank effluent, which is distributed over the top of the filter and flows vertically through the peat. The filter was instrumented with tensiometers and transducers to monitor the pore water pressures in response to a pulse of septic tank effluent. An in-depth study of the hydraulics of the system was completed. The soil moisture retention curve and the hydraulic conductivity as a function of density were determined in laboratory experiments. A one-dimensional unsaturated flow model was used to predict the pressure response due to a pulse. A comparison of the field and model results illustrates the impact of the density variations, and the corresponding hydraulic conductivity variations, on the model predictions. The compaction of the peat is an important design consideration for the filter since it directly impacts the flow characteristics and the hydraulic retention time within the filter.     

Die Intensitäten „verbotener“ Linien im Magnetfeld

Zeitschrift für Physik A Hadrons and nuclei - Die Intensitäten der „verbotenen“ Linien (innere Quantenzahl ändert sich um 2 oder 3) im pd-Multiplett von Zn I sind in...     

The moore-penrose inverse of a matrix over a semi-simple artinian ring with respect to an involution

Our result in "The Moore-Penrose inverse of a matrix over a semi-simple artinian ring" [2], obtained with respect to a special class of involutions is generalized to arbitrary involutions on the set of all finite matrices.