3N scattering in a three-dimensional operator formulation |
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| Authors: | W?Gl?ckle I?Fachruddin Ch?Elster J?Golak R?Skibiński H?Wita?a |
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| Institution: | 1.Institut für theoretische Physik II,Ruhr-Universit?t Bochum,Bochum,Germany;2.Departemen Fisika Universitas Indonesia,Depok,Indonesia;3.Institute of Nuclear and Particle Physics, Department of Physics and Astronomy,Ohio University,Athens,USA;4.M. Smoluchowski Institute of Physics,Jagiellonian University,Kraków,Poland |
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| Abstract: | A recently developed formulation for a direct treatment of the equations for two- and three-nucleon bound states as set of
coupled equations of scalar functions depending only on vector momenta is extended to three-nucleon scattering. Starting from
the spin-momentum dependence occurring as scalar products in two- and three-nucleon forces together with other scalar functions,
we present the Faddeev multiple scattering series in which order by order the spin degrees can be treated analytically leading
to 3D integrations over scalar functions depending on momentum vectors only. Such formulation is especially important in view
of awaiting extension of 3N Faddeev calculations to projectile energies above the pion production threshold and applications
of chiral perturbation theory 3N forces, which are to be most efficiently treated directly in such three-dimensional formulation
without having to expand these forces into a partial-wave basis. |
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