Pion interaction with the trinucleon up to the eta production threshold

Details Pion interaction with the trinucleon up to the eta production threshold Pion interaction with the trinucleon up to the eta production threshold

1993-01-06

arxiv.org/abs/nucl-th/9301004v1

Phys.Rev.C47:941-956,1993

Physics

Nuclear Physics

Nuclear Theory

40 pages, 12 figures (available from the authors), Mainz preprint MKPH-T-92-13

Scientific paper

10.1103/PhysRevC.47.941

Pion elastic, charge exchange scattering and induced eta production on the trinucleon systems are investigated in a coupled-channels approach in momentum space with Fadeev wave functions. The channel $\pi N \rightarrow \eta N$ is included using an isobar model with S-, P-, and D-wave resonances. While the coherent reactions like $^3$He($\pi,\pi)^3$He can be reasonably well reproduced up to $T_{\pi}$=500 MeV, large discrepancies appear for the incoherent processes, $^3$He($\pi^-,\pi^0)^3$H and $^3$He($\pi^-,\eta)^3$H at backward angles and energies above $\Delta$-resonance. In the forward direction the $(\pi,\eta)$ calculations underestimate the experimental measurements very close to threshold but agreement with the data improves with increasing pion energy. Predictions are made for the asymmetries of the various reactions on polarized $^3$He.

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