Two-particle scattering on the lattice: Phase shifts,spin-orbit coupling,and mixing angles |
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Authors: | B Borasoy E Epelbaum H Krebs D Lee U -G Meißner |
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Institution: | 1.Helmholtz-Institut für Strahlen- und Kernphysik (Theorie),Universit?t Bonn,Bonn,Germany;2.Institut für Kernphysik (Theorie),Forschungszentrum Jülich,Jülich,Germany;3.Department of Physics,North Carolina State University,Raleigh,USA |
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Abstract: | We determine two-particle scattering phase shifts and mixing angles for quantum theories defined with lattice regularization.
The method is suitable for any non-relativistic effective theory of point particles on the lattice. In the center-of-mass
frame of the two-particle system we impose a hard spherical wall at some fixed large radius. For channels without partial-wave
mixing the partial-wave phase shifts are determined from the energies of the nearly spherical standing waves. For channels
with partial-wave mixing further information is extracted by decomposing the standing wave at the wall boundary into spherical
harmonics, and we solve coupled-channels equations to extract the phase shifts and mixing angles. The method is illustrated
and tested by computing phase shifts and mixing angles on the lattice for spin-1/2 particles with an attractive Gaussian potential
containing both central and tensor force parts. |
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Keywords: | 13 75 Cs Nucleon-nucleon interactions (including antinucleons deuterons etc ) 21 30 -x Nuclear forces 34 50 -s Scattering of atoms and molecules |
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