Microscopic calculations of $$^6$$ 6 He and $$^6$$ 6 Li with real-time evolution method

The low-lying cluster states of $$^6$$ He ( $$\alpha $$ +n+n) and $$^6$$ Li ( $$\alpha $$ +n+p) are calculated by the real-time evolution method (REM) which generates basis wave functions for the generator coordinate method (GCM) from the equation of motion of Gaussian wave packets. The $$0^+$$ state of $$^6$$ He as well as the $$1^+$$ , $$0^+$$ and $$3^+$$ states of $$^6$$ Li are calculated as a benchmark. We also calculate the root-mean-square (r.m.s.) radii of the point matter, the point proton, and the point neutron of these states, particularly for the study of the halo characters of these two nuclei. It is shown that REM can be one constructive way for generating effective basis wave functions in GCM calculations.