  We demonstrate a possibility to create a new state of ultracold atoms which
we call a Bose-Einstein-Young condensate. Atoms are supposed to be in different
hyperfine state of the same isotope. The wave function of such a state,
although totally symmetric with respect to simultaneous permutation of
co-ordinates and spins of any pair of atoms, has more complicated structure
than a simple product of totally symmetric co-ordinate and spin parts. Its
properties with respect to permutations of only co-ordinates or only spins are
characterized by a particular Young diagram, a symbol denoting an irreducible
representation of the permutation group.
