Abstract
This chapter reviews three-nucleon bound-state properties using delta-shell nucleon–nucleon interactions. Two reasons for the use of delta-shell potential are (1) with an appropriate choice of the potential parameters, an amazingly good fit to the 1 S 0 and 3 S 1 phase shifts is obtained and (2) as the potential is local, several three-nucleon properties can be calculated easily using the hyperspherical harmonics formalism. The bound-state properties are much more sensitive with respect to variations in the effective ranges than to variations in the scattering lengths. There is almost no dependency on the singlet scattering length. The large sensitivity for the singlet effective range is interesting as its experimental error is considerable and a change of the parameter within its error could give a variation in binding energy of about 500keV. Until the value of that parameter is better known, not much can be done with the dependency on the other parameters.
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