Abstract
Recently it has been suggested that as in the neutron deuteron problem the theoretically calculated spin-doublet S wave proton deuteron scattering length /sup 2/a/sub pd/ is correlated with /sup 3/He binding energy. This strongly suggests that /sup 2/a/sub pd/approx. =0. In this paper we study various properties of the low energy trinucleon system including this correlation among scattering length and binding energy for the spin-doublet neutron deuteron and the proton deuteron systems in an ad hoc two-body model. The two-body potential models we employ have a long range tail of r/sup -2/ type and have been parametrized to produce the correct binding energies of /sup 3/H and /sup 3/He and the correct s wave spin-doublet neutron deuteron scattering lengths /sup 2/a/sub nd/. The present study predicts the low energy nucleon deuteron phase shifts and predicts the proton deuteron scattering length to be /sup 2/a/sub pd/approx. =(0.15 +- 0.1) fm.
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