  The Tohsaki-Horiuchi-Schuck-Roepke (THSR) wave function has been successfully
used for the studies of gas-like nature of alpha clusters in various nuclei
including the so-called Hoyle state of 12C and four alpha states of 16O. In
standard alpha cluster models, however, each alpha cluster wave function has
spin zero because of its spatial symmetry and antisymmetrization effect. Thus
the non-central interactions do not contribute, and this situation is the same
in the THSR wave function. In this work, the spin-orbit contribution, which is
found to be quite important at short alpha-alpha distances, is taken into
account in the THSR wave function by combing it with antisymmetrized quasi
cluster model (AQCM). The application to 12C is presented. The
multi-integration in the original THSR wave function is carried out by using
Monte Carlo technique, which is called Monte Carlo THSR wave function. For the
nucleon-nucleon interaction, the Tohsaki interaction, which contains
finite-range three-body terms and simultaneously reproduces the saturation
properties of nuclear systems, the alpha-alpha scattering phase shift, and the
size and binding energy of 4He, is adopted.
