A New Approach to the 3D Faddeev Equation for Three-Body Scattering

Details A New Approach to the 3D Faddeev Equation for Three-Body Scattering A New Approach to the 3D Faddeev Equation for Three-Body Scattering

2008-07-09

arxiv.org/abs/0807.1421v1

Few Body Syst.45:1-10,2009

Physics

Nuclear Physics

Nuclear Theory

8 pages, 1 figure

Scientific paper

10.1007/s00601-008-0003-6

A novel approach to solve the Faddeev equation for three-body scattering at arbitrary energies is proposed. This approach disentangles the complicated singularity structure of the free three-nucleon propagator leading to the moving and logarithmic singularities in standard treatments. The Faddeev equation is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. In its simplest form the Faddeev equation for identical bosons, which we are using, is an integral equation in five variables, magnitudes of relative momenta and angles. The singularities of the free propagator and the deuteron propagator are now both simple poles in two different momentum variables, and thus can both be integrated with standard techniques.

Affiliated with

Also associated with

No associations

Rating

A New Approach to the 3D Faddeev Equation for Three-Body Scattering does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A New Approach to the 3D Faddeev Equation for Three-Body Scattering, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A New Approach to the 3D Faddeev Equation for Three-Body Scattering will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-687839