Virtual state of the three nucleon system

Abstract

The existence of a virtual state of the three nucleon system is established on the basis of three different analyses. Values for its pole position and residue in the doublet, $s$-wave, $n\ensuremath{-}d$ elastic scattering amplitude, are obtained from a fit to the experimental data, from partial wave dispersion relations, and from an exact three-particle, separable potential calculation. The calculations indicate that these parameters are determined mainly by the one-nucleon exchange mechanism and the doublet scattering length ${a}_{2}$. For ${a}_{2}=0.65$ fm our best calculation gives an energy of 0.482 MeV below the elastic threshold, on the second Riemann sheet, and a residue parameter ${{C}_{\ensuremath{\nu}}}^{2}=0.0504$, where ${{C}_{\ensuremath{\nu}}}^{2}$ is defined in analogy to the triton asymptotic normalization parameter.NUCLEAR REACTIONS Three-nucleon virtual state; fits to data; dispersion relations; separable potential calculations.