Supersymmetrical intertwining relations of second order in derivatives allow to construct a two-dimensional quantum model with complex potential, for which all energy levels and bound state wave functions are obtained analytically. This model is not amenable to separation of variables, and it can be considered as a specific complexified version of generalized two-dimensional Morse model with ad...

Relativistic effects are important in the electrons’ dynamics and bound state energies in heavy atoms and molecules. When the nucleii involved are heavily charged, the velocities of the electrons of the inner layers are quite large, and so nonrelativistic modelling will lead to important errors. The usual strategies to address this issue are : either use nonrelativistic models together with rel...

Inelastic photoproduction of J/ψ particles at high energies is one of the processes to determine the gluon distribution in the nucleon. We have calculated the QCD radiative corrections to the color-singlet model of this reaction. They are large at moderate photon energies, but decrease with increasing energies. The cross section and the J/ψ energy spectrum are compared with the available fixed-...

I discuss the possibility that the quark model emerges as the lowest order of an h̄ expansion of QCD bound states. In a hamiltonian approach the instantaneous A0 potential is determined by the field equations separately for each Fock component. These equations allow also a linear potential as a homogeneous solution. Stationarity of the action sets the direction of the ensuing constant electric f...

In an accompanying paper [J.A. Sauls and M. Eschrig, Vortices in chiral, spin-triplet superconductors and superfluids, this issue] we have studied the equilibrium properties of vortices in a chiral quasi-twodimensional triplet superfluid/superconductor. Here we extend our studies to include the dynamical response of a vortex core in a chiral triplet superconductor to an external a.c. electromag...

The IBr fragment rotational state distributions that result when the NeIBr van der Waals molecule undergoes vibrational predissociation have been measured in a pump-probe laser-induced fluorescence experiment. Independent of initial vibrational state and the number of quanta of vibrational energy lost from the I-Br coordinate, the rotational distributions extend over the full range of energetic...

pd capture processes at various energies have been analyzed based on solutions of 3N-Faddeev equations and using modern NN forces. The application of the Siegert theorem is compared to the explicit use of πand ρ-like exchange currents connected to the AV18 NN interaction. Overall good agreement with cross sections and spin observables has been obtained but leaving room for improvement in some c...

We study the semiclassical limit for the following system of Maxwell-Schrr odinger equations: waves for the nonlinear Schrr odinger equation interacting with the electrostatic eld: the unknowns v and represent the wave function associated to the particle and the electric potential respectively. By using localized energy method, we construct a family of positive radially symmetric bound states (...

We evaluate the isospin breaking corrections to the scattering amplitude πK → πK at threshold in the framework of chiral perturbation theory. This channel is of particular interest for the strong 2S− 2P energy level shift in pion–kaon bound states. While a prediction of this level shift is hampered by a large uncertainty in the isoscalar scattering length, we find only a moderate uncertainty of...

The emergence of upside-down symmetry of the bound-state energies E1 = −EN , E2 = −EN−1, . . . has been observed, in strong-coupling regime, in several pseudoHermitian N−state quantum systems. We show that such a symmetry assumption also simplifies a combinatorial classification of these systems since non-equivalent hierarchies of complexifications beyond the strong-coupling boundaries induce n...