Abstract
Wave functions for 3H and 4He are formed by combining K-harmonics of definite permutation symmetry with spin-isospin functions of adjoint symmetry. Applying Young operators to K-harmonics formed by vector coupling gives the required symmetrized functions, which are then expressed as linear combinations of the vector-coupled K-harmonics to allow potential matrix elements to be written down by techniques used in shell-model calculations. Explicit formulas are given for central and tensor potentials. Results obtained by other authors suggest that for convergence expansions in K-harmonics should be taken to about K = 8, so that some selection of states is essential. A rule used previously in variational calculations is to take only those states coupled by the potential to the zeroth approximation ( K = 0). The form obtained here for the matrix elements and some properties of Young operators lead to a method of constructing these states.
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