The inherent nodal structure in the wave functions of 6-nucleon systems is
investigated using group theory. The existence of a group of six low-lying
states composed of mainly an L = 0 component is deduced. In addition to the
{4,2} spatial permutation symmetry, the {2,2,2} symmetry is found to be al
so important for the low-lying states, [S0031-9007(98)08131-9].