422,277 research outputs found
Pion Form Factor in the Light-Front
The pion electromagnetic form factor is calculated with a light-front quark
model. The "plus" and "minus" component of the electromagnetic current are used
to calculate the electromagnetic form factor in the Breit frame with two models
for the q\bar{q} vertex. The light front constituent quark models describes
very well hadronic wave function for pseudo-scalar and vector particles.
Symmetry problems arinsing in the light-front approach are solved by the pole
dislocation method. The results are compared with new experimental data and
with other quark models.Comment: 4 pages,1 figure (eps), Latex,AIP style.To appear in the proceedings
"IX Hadron Physics and VII Relativistic Aspects of Nuclear Physics: A Joint
Meeting on QCD and QGP, Hadron Physics-RANP,2004,Angra dos Reis, Rio de
Janeiro,Brazil.(some references are added and small mistakes are corrected.
Influence of asymmetry and nodal planes on high-harmonic generation in heteronuclear molecules
The relation between high-harmonic spectra and the geometry of the molecular
orbitals in position and momentum space is investigated. In particular we
choose two isoelectronic pairs of homonuclear and heteronuclear molecules, such
that the highest occupied molecular orbital of the former exhibit at least one
nodal plane. The imprint of such planes is a strong suppression in the harmonic
spectra, for particular alignment angles. We are able to identify two distinct
types of nodal planes. If the nodal planes are determined by the atomic
wavefunctions only, the angle for which the yield is suppressed will remain the
same for both types of molecules. In contrast, if they are determined by the
linear combination of atomic orbitals at different centers in the molecule,
there will be a shift in the angle at which the suppression occurs for the
heteronuclear molecules, with regard to their homonuclear counterpart. This
shows that, in principle, molecular imaging, which uses the homonuclear
molecule as a reference and enables one to observe the wavefunction distortions
in its heteronuclear counterpart, is possible.Comment: 14 pages, 7 figures. Figs. 3, 5 and 6 have been simplified in order
to comply with the arXiv size requirement
The Stability of One-Step Schemes for First-Order Two-Point Boundary Value Problems
The stability of a finite difference scheme is related explicitly to the stability of the continuous problem being solved. At times, this gives materially better estimates for the stability constant than those obtained by the standard process of appealing to the stability of the numerical scheme for the associated initial value problem
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