STUDY OF BOUND AND SCATTERING STATES OF FEW-NUCLEON SYSTEMS WITH CORRELATED BASIS FUNCTIONS

The wave functions of the three- and four-nucleon systems have been ex panded on a set of correlated functions given by the product of a corr elation factor and the functions of the hyperspherical-harmonic basis. The correlation factor includes only pair correlation functions, and, in the case of a bound state, the optimal dependence of the wave func tion on the hyperradius is determined by means of a variational techni que. The correlated expansion allows for treating hard-core interactio ns too, and it is suitable also for calculations on scattering states. The results obtained for the ground states of the triton and the alph a particle are in close agreement with those from other methods.