On the production of \pi^{+}_{} \pi^{+}_{} pairs in pp collisions at 0.8 GeV

Data accumulated recently for the exclusive measurement of the pp $ \rightarrow$ pp $ \pi^{+}_{}$ $ \pi^{-}_{}$ reaction at a beam energy of 0.793GeV using the COSY-TOF spectrometer have been analyzed with respect to possible events from the pp $ \rightarrow$ nn $ \pi^{+}_{}$ $ \pi^{+}_{}$ reaction channel. The latter is expected to be the only $ \pi$ $ \pi$ production channel, which contains no major contributions from resonance excitation close to threshold and hence should be a good testing ground for chiral dynamics in the $ \pi$ $ \pi$ production process. No single event has been found, which meets all conditions for being a candidate for the pp $ \rightarrow$ nn $ \pi^{+}_{}$ $ \pi^{+}_{}$ reaction. This gives an upper limit for the cross-section of 0.16μb (90% C.L.), which is more than an order of magnitude smaller than the cross-sections of the other two-pion production channels at the same incident energy.     

A general approach to Bayesian portfolio optimization

We develop a general approach to portfolio optimization taking account of estimation risk and stylized facts of empirical finance. This is done within a Bayesian framework. The approximation of the posterior distribution of the unknown model parameters is based on a parallel tempering algorithm. The portfolio optimization is done using the first two moments of the predictive discrete asset return distribution. For illustration purposes we apply our method to empirical stock market data where daily asset log-returns are assumed to follow an orthogonal MGARCH process with t-distributed perturbations. Our results are compared with other portfolios suggested by popular optimization strategies.     

Performance in (Ultra-)high-performance liquid chromatography—How to qualify and optimize instruments in practice

This paper investigates the suitability of an ultra-high-performance liquid chromatography/high-performance liquid chromatography hybrid system for ultra-high-performance liquid chromatography applications. Thus, the effect of extra column band broadening, the gradient system, and the injection system were tested and optimized according to their capabilities. An increase of the theoretical plate number up to a factor of two is achieved by the optimization of the extra column volume into the typical ultra-high-performance liquid chromatography range (<10 μl). Moreover, for qualitative purposes injections of volumes typical for ultra-high-performance liquid chromatography methods are precise. Despite this, a lack of precision and accuracy was determined for the gradient system, and the dwell volume meets the typical specification range for conventional HPLC systems. Therefore, hybrid systems are the intercept between both spectra and are limitedly suitable for ultra-high-performance liquid chromatography applications. Another way to approximate ultra-high-performance liquid chromatography performance using a high-performance liquid chromatography system is superficially porous particles. Thus, H/u curves of 5 μm superficially porous and 3 μm fully porous particles were recorded in order to determine the effect of the particle technology resulting in comparable performance of the used stationary phases.