6533b7d7fe1ef96bd1268fc3

RESEARCH PRODUCT

Complex, energy-independent, local potential reproducing an absorptive phase shift and a bound state

subject

description

The triton binding energy, and the partly real and partly complex neutron-deuteron doublet channel elastic scattering phase shifts, calculated by means of the exact three-body theory, are used as input in the fixed-[ital l] inverse scattering theory of Marchenko. The local potentials obtained hereby are independent of energy, and complex. Their strong imaginary part reflects the strong absorption in the doublet channel arising from the opening of the deuteron breakup channel. For total orbital angular momentum [ital l] different from zero the potentials are unique, reproducing the input phase shift in the whole energy region. For [ital l]=0 where there exists, in addition, a bound state we construct a one-parameter class of complex local potentials which are phase--binding-energy equivalent; that is, each of its members reproduces, in addition to the partly complex phase shifts, the bound state with the physical, i.e., real binding energy. Correlations between the oscilliations in the radial independence of these equivalent potentials and physical properties of the input data are established.