  We extend the high-momentum antisymmetrized molecular dynamics (HMAMD) by
incorporating the short-range part of the unitary correlation operator method
(UCOM) as the variational method of finite nuclei. In this HMAMD+UCOM
calculation of light nuclei, the HMAMD is mainly in charge of the tensor
correlation with up to the four-body correlation, while the short-range
correlation is further improved by using the UCOM. The binding energies of the
3H and 4He nuclei are calculated with this HMAMD+UCOM using the AV8' bare
nucleon-nucleon (NN) interaction. The different roles of the short-range and
tensor correlations from the HMAMD and UCOM are analyzed in the numerical
results. Compared with the previous calculations based on the different
variational methods, this newly extended HMAMD+UCOM method can almost provide
the consistent results with the ab initio results.
