Dominant resonance pole of the three-neutron system

The resonance behaviour of a system of three neutrons is considered. For the quantum numbers (T. S, L) = (2/3, 1/2, 1^–) and s-wave Yamaguchi two-particle interaction the dominating pole pair of the S-matrix is determined. To find the pole positions and the asymptotic normalization parameters contour deformation technique has been applied to solve the homogeneous Faddeev equation on the unphysical sheets of the S-matrix. For the positions and the asymptotic normalization constants of the dominating pole pair the values z_p=(–88·0i27·9) keV and C _p ² = –0.05±i0·1 are obtained. Although the pole pair is close to the real axis in the complex energy plane it is not expected to cause an observable experimental effect due to the smallness of the asymptotic normalization constant.Presented at the symposium Mesons and Light Nuclei, Liblice, Czechoslovakia, June 1981.