29 research outputs found
Heavy pseudoscalar mesons in a Schwinger-Dyson--Bethe-Salpeter approach
The mass spectrum of heavy pseudoscalar mesons, described as quark-antiquark
bound systems, is considered within the Bethe-Salpeter formalism with
momentum-dependent masses of the constituents. This dependence is found by
solving the Schwinger-Dyson equation for quark propagators in rainbow-ladder
approximation. Such an approximation is known to provide both a fast
convergence of numerical methods and accurate results for lightest mesons.
However, as the meson mass increases, the method becomes less stable and
special attention must be devoted to details of numerical means of solving the
corresponding equations. We focus on the pseudoscalar sector and show that our
numerical scheme describes fairly accurately the , , , and
ground states. Excited states are considered as well. Our calculations
are directly related to the future physics programme at FAIR.Comment: 9 pages, 3 figures; Based on materials of the contribution
"Relativistic Description of Two- and Three-Body Systems in Nuclear Physics",
ECT*, October 19-23, 200
A modified algorithm for the numerical solution of singular integral equations with index equal to 1
The location of discontinuity intervals of sectionally analytic functions: Application to the interface crack problem
On the determination of stress-optical constants by the method of reflected caustics
Theocaris's method of reflected caustics can be used for the experimental determination of the stress-optical constants of an isotropic or anisotropic elastic material using a single simple tension test with a specimen having a circular hole. The results show a significant improvement over an analogous method, based both on reflected and transmitted caustics and developed by Kartalopoulos and Raftopoulos (1976)