  We derive and explicitly display the internal wave function of a color-,
flavor- and spin- singlet dibaryon composed of uuddss quarks in a spatially
symmetric state, in the approximation of exact SU(3) flavor symmetry. This
wavefunction shows that the often-used superposition of Lambda Lambda, N Xi and
Sigma Sigma baryons, relevant for di-baryon molecules, accounts for only 1/5 of
a spatially symmetric six-quark color-flavor-spin-singlet state, with the
remaining 4/5 consisting of products of color-octet baryons. Using the correct
wavefunction has important implications for calculations of the mass of the
lowest-lying flavor-singlet dibaryon, as we illustrate using the Cornell
potential. We also provide a compact representation of the state in terms of
creation operators, and comment on the impact of not using the optimal operator
in lattice studies of this system.
