Christian Schulze,1 Filippus S. Roux,2 Angela Dudley,2 Ronald Rop,3 Michael Duparré,1 and Andrew Forbes2,4,* 1Institute of Applied Optics, Friedrich Schiller University, Fröbelstieg 1, 07743 Jena, Germany 2Council for Scientific and Industrial Research, P.O. Box 395, Pretoria 0001, South Africa 3Department of Physics, Egerton University, P.O. Box 536, Egerton 20115, Kenya 4School of Physics, Un...

Final-state-exclusive momentum distributions of fast, forward-traveling residual nuclei, following two-nucleon removal from fast secondary radioactive beams of projectile nuclei, can and have now been measured. Assuming that the most important reaction mechanism is the sudden direct removal of a pair of nucleons from a set of relatively simple, active shell-model orbital configurations, such di...

Parton distribution functions, which represent the flavor and spin structure of the nucleon, provide invaluable information in illuminating quantum chromodynamics in the confinement region. Among various processes that measure such parton distribution functions, semi-inclusive deep inelastic scattering is regarded as one of the golden channels to access transverse momentum dependent parton dist...

We study the singular behavior of kth angular derivatives of analytic functions in the unit disk in the complex plane C and positive harmonic functions in the unit ball in R. Faà di Bruno’s formula is a crucial tool in our proofs.

We present the method of calculation of radiative decays of composite quark–antiquark QQ̄ systems with different J : (QQ̄)in → γ(QQ̄)out. The method is relativistic invariant, it is based on the double dispersion relation integrals over the masses of composite mesons, it can be used for the high spin particles and provides us with the gauge invariant transition amplitudes. We apply this method to ...

Minicharged particles arise naturally in extensions of the Standard Model with a kinetic mixing term between the ordinary electromagnetic U(1) and an extra “hidden sector” U(1). In this note we study the compatibility of these particles with the existence of magnetic monopoles. We find that angular momentum quantization allows only certain combinations of ordinary and hidden monopole charge. Us...

What happens to the uncertainity relations along the process of gravitational collapses ? What is the position-space wave function of two finite volume massive bosons if we take contact interaction into account? What is the microscopic explanation in terms of particle exchanges of the force in the Casimir effect?

We use a factorisation technique and representations of canonical transformations to construct globally valid closed form expressions without singularities of semi-classical wave functions for arbitrary smooth local potentials over a one-dimensional position space.

The well-known Schwarz–Pick lemma states that any analytic mapping φ of the unit disk U into itself satisfies the inequality |φ′(z)| ≤ 1− |φ(z)| 2 1− |z|2 , z ∈ U. This estimate remains the same if we restrict ourselves to univalent mappings. The lower estimate is |φ′(z)| ≥ 0 generally or |φ′(z)| > 0 for univalent functions. To make the lower estimate nontrivial we consider univalent functions ...

We investigate the momentum space representation of the solutions of a particle in a three-dimensional box. By comparing the calculated momentum densities of a particle in a box with the measured distribution of highly symmetric molecules we want to elucidate the nature of the measured orbitals. Finally the measured momentum distribution of a free electron metal is compared with the results of ...