  Consistent description of 12C and 16O has been a long standing problem of
microscopic alpha cluster models, where the wave function is fully
antisymmetrized and the effective interaction is applied not between alpha
clusters but between nucleons. When the effective interaction is designed to
reproduce the binding energy of 16O (four alpha), the binding energy of 12C
(three alpha) becomes underbound by about 10 MeV. In the present study, by
taking into account the coupling with the jj-coupling shell model components
and utilizing Tohsaki interaction, which is phenomenological but has
finite-range three-body interaction terms, we show that consistent
understanding of these nuclei can be achieved. The original Tohsaki interaction
gives small overbound of about 3 MeV for 16O, and this is improved by slightly
modifying three-body Majorana exchange parameter. Also, the coupling with the
jj-coupling shell model wave function strongly contributes to the increase of
the binding energy of 12C. So far the application of Tohsaki interaction has
been limited to 4N nuclei, and here, we add Bartlet and Heisenberg exchange
terms in the two-body interaction for the purpose of applying it to
neutron-rich systems, and it is applied to 6He.
