HYPERFINE SPLITTING COMPUTATION IN THE 1S(1 2)(E)2S(1/2)(MU) STATE OFTHE EXOTIC (HE-4(2+)-MU-E-)0 AND (HE-3(2+)-MU-E-)0 ATOMS/

An ab initio calculation of the hyperfine splitting (HFS) intervals in the 2s1/2(mu)1s1/2(e) state of the exotic (He-4(2+)-mu-e-)0 and (He-3 (2+)-mu-e-)0 atoms is carried out. The samllness of beta = m(e)/m(mu) approximately 1/200 (the electron and the mu-meson mass ratio) enables us to take into account the non-relativistic interparticle correlatio nal interaction perturbatively. Corresponding corrections, which give the dominant contribution to the HFS, are calculated to logarithmic ac curacy analytically and exactly. Together with the leading relativisti c and radiative corrections the HFS values obtained tum out to be in a ccord with the results of other calculations.