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arXiv · 1205.5730

Three-body breakup within the fully discretized Faddeev equations

O. A. Rubtsova·V. N. Pomerantsev·V. I. Kukulin·Amand Faessler
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Abstract

A novel approach is developed to find the three-body breakup amplitudes and cross sections within the modified Faddeev equation framework. The method is based on the lattice-like discretization of the three-body continuum with a three-body stationary wave-packet basis in momentum space. The approach makes it possible to simplify drastically all the three- and few-body breakup calculations due to discrete wave-packet representations for the few-body continuum and simultaneous lattice representation for all the scattering operators entering the integral equation kernels. As a result, the few-body breakup can be treated as a particular case of multi-channel scattering in which part of the channels represents the true few-body continuum states. As an illustration for the novel approach, an accurate calculations for the three-body breakup process $n+d\to n+n+p$ with non-local and local $NN$ interactions are calculated. The results obtained reproduce nicely the benchmark calculation results using the traditional Faddeev scheme which requires much more tedious and time-consuming calculations.

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O. A. Rubtsova, V. N. Pomerantsev, V. I. Kukulin, Amand Faessler. 2012-05-25. Three-body breakup within the fully discretized Faddeev equations. https://doi.org/10.1103/physrevc.86.034004

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