New treatment of breakup continuum in the method of continuum discretized coupled channels

Details New treatment of breakup continuum in the method of continuum discretized coupled channels New treatment of breakup continuum in the method of continuum discretized coupled channels

2003-02-14

arxiv.org/abs/nucl-th/0302034v2

Phys.Rev. C68 (2003) 064607

Physics

Nuclear Physics

Nuclear Theory

10 pages, 14 Postscript figures, uses REVTeX 4, submitted to Phys. Rev. C

Scientific paper

10.1103/PhysRevC.68.064607

A new method of pseudo-state discretization is proposed for the method of continuum discretized coupled channels (CDCC) to deal with three-body breakup processes. We propose real- and complex-range Gaussian bases for the pseudo-state wave functions, and show that they form in good approximation a complete set in the configuration space which is important for breakup processes. Continuous S-matrix elements are derived with the approximate completeness from discrete ones calculated by CDCC. Accuracy of the method is tested quantitatively for two realistic examples, d+$^{58}$Ni scattering at 80 MeV and $^{6}$Li+$^{40}$Ca scattering at 156 MeV with the satisfactory results. Possibility of application of the method to four-body breakup processes is also discussed.

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