Solving Three-Cluster OCM Equations in the Faddeev Formalism

Solving Three-Cluster OCM Equations in the Faddeev Formalism

Two different types of orthogonality condition models (OCM) are equivalently formulated in the Faddeev formalism. One is the OCM which uses pairwise orthogonality conditions for the relative motion of clusters, and the other is the one which uses the orthogonalizing pseudo-potential method. By constructing a redundancy-free T -matrix, one can exactly eliminate the redundant components of the to...

Faddeev-Merkuriev integral equations for atomic three-body resonances

Three-body resonances in atomic systems are calculated as complexenergy solutions of Faddeev-type integral equations. The homogeneous FaddeevMerkuriev integral equations are solved by approximating the potential terms in a Coulomb-Sturmian basis. The Coulomb-Sturmian matrix elements of the three-body Coulomb Green’s operator has been calculated as a contour integral of two-body Coulomb Green’s ...

Faddeev-type equations for three-body symmetry violating scattering amplitudes

Solving Navier-Stokes Equations on the Cedar Multi-Cluster System

The Cedar multi{cluster system is a machine with several levels of par-allelism and memory. We compare two diierent Cedar{implementations of a Navier{ Stokes solver kernel, the Generalized Stokes problem which is discretized here by a Mixed Finite Element Method. The arising linear system is solved by the conjugate gradient Uzawa algorithm. The two implementation approaches are a static approac...

Faddeev equations: a view of baryon properties

We present a calculation of the three-quark core contribution to the mass of the ∆-resonance in a Poincaré-covariant Faddeev framework. A consistent setup for the dressed-quark propagator, the quark-quark and quark-’diquark’ interactions is used, where all the ingredients are solutions of their respective Dyson-Schwinger or Bethe-Salpeter equations in rainbow-ladder truncation. We discuss the e...