Coupling constant singularities of the nucleon-nucleon interaction

Using plausibility arguments, Mandelstam has shown that the solutions of the Bethe-Salpeter equation in the ladder approximation have branch points in the coupling constant g complex plane. This information is vital for the understanding of the analytic properties and the convergence properties of infinite sums of Feynman diagrams. In this paper we develop a formalism which permits an exact analysis of the coupling constant branch point location for approximate Bethe-Salpeter Pseudopotential equations with nonlocal Pseudopotentials. We apply this formalism to the two-nucleon interaction with the pseudoscalar pion exchange. Exact analytic expressions are found for the $\text{g}\text{2}{}^2\text{/4π}$ branch points which are confirmed by a computer test. The branch point position does not depend either on the pion and nucleon masses, or on the total energy.     

Skin friction and heat transfer on a circular cylinder moving in a fluid at rest

Summary The incompressible laminar stationary flow along a circular cylinder drawn through an orifice with constant velocity is studied. The surrounding fluid is at rest. (Manufacture of fibers.) For skin friction and heat transfer, a solution for high values of Reynolds number is given in the form of an asymptotic expansion. The special second-order effects, entrainment and curvature, are studied. It is shown that the entrainment effect becomes important for skin friction when the distance from the orifice is small, whereas the influence on heat transfer is small. The curvature effect on skin friction and heat transfer is given as a function of Reynolds number and distance from the orifice.

---

Zusammenfassung Es wird die inkompressible, laminare und stationäre Strömung entlang eines mit konstanter Geschwindigkeit bewegten Kreiszylinders untersucht, der aus einer Öffnung hervortritt (Spinnprozeß). Das umgebende Fluid in großer Entfernung vom Zylinder befinde sich dabei in Ruhe. Für die Schubspannung und den Wärmeübergang bei großen Reynoldszahlen wird eine Lösung in Form einer asymptotischen Entwicklung angegeben. Insbesondere werden die Effekte 2. Ordnung, Verdrängung und Krümmung, untersucht. Es wird gezeigt, daß der Verdrängungseffekt für kleine Abstände von der Zylinderaustrittsöffnung für die Schubspannung von Bedeutung wird, wohingegen der Wärmeübergang dadurch nur wenig beeinflußt wird. Der Einfluß der Krümmung auf die Wandschubspannung und den Wärmeübergang wird als Funktion der Reynoldszahl und des Abstandes von der Zylinderaustrittsöffnung angegeben.

     

Polyacrylamide gel electrophoresis in vertical, inverse and double-crossing gradients of soluble polymers.

The presence of soluble dextrans, methylcellulose and polyethylene glycol polymers incorporated into vertical sodium dodecyl sulfate (SDS)-polyacrylamide slabs during electrophoresis can have a pronounced effect on protein separations. The effects of various standard and inverse gradients of polymers on the electrophoretic mobility of marker proteins in 10% T, 2.66% C Laemmli-style SDS gels, and the effects of simultaneous pore size and polymer gradients were investigated. These experiments demonstrate that the inclusion of polymers is a new, additional parameter that can be useful in resolving complex mixtures of proteins.     

On the relationship of amino acid composition to silver staining of proteins in electrophoresis gels: II. Peptide sequence analysis.

The quantification of proteins in silver-stained electrophoresis gels has been limited by the differences in "stainability" of different proteins. Despite efforts by many researchers, the precise basis of the reaction between silver reagents and polypeptides is still unclear, and, depending on the formulation, may even differ. We have tested the hypothesis that differences in stainability among proteins can be attributed to differences in di- or tripeptide composition. The results indicate that some order of protein structure other than short peptides accounts for the staining differences observed.     

Stopping paramagnetic supersonic beams: the advantage of a co-moving magnetic trap decelerator

The long standing goal of chemical physics is finding a convenient method to create slow and cold beams intense enough to observe chemical reactions in the temperature range of a few Kelvin. We present an extensive numerical analysis of our moving magnetic trap decelerator showing that a 3D confinement throughout the deceleration process enables deceleration of almost all paramagnetic particles within the original supersonic expansion to stopping velocities. We show that the phase space region containing the decelerating species is larger by two orders of magnitude as compared to other available deceleration methods.