Bessel function expansions of Coulomb wave functions

From the convergence properties of the expansion of the function Φ_l∝r^(−l−1)F_l in powers of the energy, we successively obtain the expansions of F_l and G_l as single series of modified Bessel functions I_(2l+1+n) and K_(2l+1+n), respectively, as well as corresponding asymptotic approximations of G_l for ‖η‖→∞. Both repulsive and attractive fields are considered for real and complex energies as well. The expansion of F_l is not new, but its convergence is given a simpler and corrected proof. The simplest form of the asymptotic approximations obtained for G_l, in the case of a repulsive field and for low positive energies, is compared to an expansion obtained by Abramowitz

R-matrix and K-matrix analysis of elastic alpha-alpha scattering

The R- and K-matrix parametrizations are analyzed and compared for the elastic alpha-alpha scattering at center-of-mass energies below 40 MeV. The two parametrizations differ in their definitions of the resonance energy which can lead to quite different results. The physical values of the best-fit parameters are compared with those computed for a potential model. The existence of a broad resonance near 9 MeV is not supported by the data or by the potential model. We discuss the positive and negative aspects for both parametrizations.Comment: 14 pages with 4 figure

De indianendans na Caterpillar

Politici voeren altijd dezelfde zinloze rituelen op als er een multinational uit België wegtrekt

Arbeidsovereenkomst en politiek mandaat : kan een werknemer twee heren dienen?

A

Regulatory T cells in Wiskott-Aldrich syndrome and after allogeneic transplantation with nonmyeloablative conditioning

Etude des Treg dans la physiopathologie du syndrome de Wiskott-Aldrich et étude de la reconstitution des Treg dans les greffes de cellules souches hématopoïétiques après un conditionnement nonmyéloablateur

Sociaal overleg in het onderwijs : mijmeringen

Kritische bedenkingen bij de wijze waarop het sociaal overleg n het onderwijs is geregel