Operation of Faddeev-Kernel in Configuration Space

Solutions of Faddeev-Yakubovsky equations in configuration space for the 4N scattering states

The Faddeev-Yakubovsky equations in configuration space have been solved for the four nucleon system with special interest in their scattering states. We present results concerning the structure of the first He, scattering states in different (T,S) channels including the first inelatic threshold N+3N→NN+NN and the n-t cross section using realistic potentials.

Fermionic quantization and configuration spaces for the Skyrme and Faddeev-Hopf models

The fundamental group and rational cohomology of the configuration spaces of the Skyrme and Faddeev-Hopf models are computed. Physical space is taken to be a compact oriented 3-manifold, either with or without a marked point representing an end at infinity. For the Skyrme model, the codomain is any Lie group, while for the Faddeev-Hopf model it is S2. It is determined when the topology of confi...

O ct 1 99 9 Investigation of 4 He 3 trimer on the base of Faddeev equations in configuration space

Configuration-Space-Faddeev Born Approximations

Alternative definitions of the Born approximation and the distorted-wave Born approximation within the framework of the configuration-space Faddeev equations are explored. The most natural definition does not correspond to the Born approximation derived from the Schrödinger equation, even though the exact T-matrices for both formalisms are equivalent. The Schrödinger form is optimal, although i...

Low Energy Proton-Deuteron Scattering in Configuration Space

A new method for solving the configuration-space Faddeev equations for elastic p-d scattering below the deuteron-breakup threshold is described. Numerical solutions that demonstrate the convergence and accuracy of the method are given. The number of channels and the value of the matching radius required to obtain an accurate solution are also investigated. It is shown that this method can be us...