Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1996-12-19
Phys.Rev.C55:2563-2570,1997
Physics
Nuclear Physics
Nuclear Theory
12 pages, REVTeX, 10 PostScript figures, submitted to Phys. Rev. C
Scientific paper
10.1103/PhysRevC.55.2563
The absorption of \pi^+ on ^3He in the $\Delta$-region is evaluated with exact inclusion of the final state interaction among the three emerging protons. The absorption is described by a $\pi N \to \Delta$ vertex and a $N\Delta - NN$ transition t-matrix which are calculated from a phenomenological model for NN and \pi d reactions. In a calculation where the initial pion scattering effects are neglected, the predicted peaks of the pion absorption cross sections for ^2H and ^3He lie too high in energy in relation to the data. The effect of the final state three-nucleon interaction turns out to be too small for changing the magnitude and shifting the peak position of the total absorption cross section for ^3He. We demonstrate that the adjustment of the peak position for the deuteron cross section by small modifications of the $\Delta$-parameters, automatically leads to the correct peak position in ^3He.
Glockle Walter
Golak Jacek
Kamada Hiroyuki
Lee T. S. -H.
Locher M. P.
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