Abstract
A simple method is proposed for the calculation of the position and residue of low-energy resonances and virtual states located in the unphysical sheet associated with the lowest two body scattering threshold. Instead of analytically continuing the scattering equation for the $t$ matrix into the unphysical sheet we propose an approximate solution of the scattering equation with known analytic properties and continue it analytically into the unphysical sheet. The poles of the analytically continued solution in the unphysical sheet correspond to virtual states and resonances. The present method is applied to study the $^{1}S_{0}$ virtual state of the two nucleon system, the Efimov virtual states in the three-boson Amado model, and the spin doublet virtual state of the three-nucleon system.NUCLEAR REACTIONS Resonances and virtual states, nucleon-nucleon $^{1}S_{0}$ virtual state, Efimov virtual states, three-nucleon spin doublet virtual state.
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