Abstract

The S-matrix pole structure of the ${\mathrm{J}}^{\mathrm{\ensuremath{\pi}}}$${=(3/2}^{+}$ resonance in $^{5}\mathrm{He}$ is obtained from R-matrix parameters for the system. Two poles are found on different unphysical Riemann sheets. One is a conventional resonance that is primarily responsible for structure in the n-\ensuremath{\alpha} total cross section. The other is a ``shadow'' pole that contributes to the large values of the cross section for the reaction $^{3}\mathrm{H}$(d,n${)\mathrm{}}^{4}$He at low energies. It is the first experimental evidence for the existence of shadow poles in nuclear and particle physics. The two-pole structure of the resonance accounts for different peak positions and widths in the amplitudes for the n-\ensuremath{\alpha} total cross section and for the $^{3}\mathrm{H}$(d,n) reaction cross section.

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