, where the lithium abundances exhibit a "plateau" behavior [3]. Several investigations for both astrophysical observation and nucleosynthesis calculation have been attempted to explain the large discrepancies, but none of them has been successful up to now. In addition, due to the difference between the depletion speeds of 6 Li and 7 Li in stars, the 6 Li/ 7 Li ratio could stand for a measure of the time scale for stellar evolution. In the above scenario, 6 Li(n,γ) 7 Li is believed to be one of the important reactions in the SBBN network [4,5], its reaction rates would affect the abundances of both 6 Li and 7 Li.The cross sections of 6 Li(n,γ) 7 Li at astrophysically relevant energies are most likely dominated by the E1 transitions into the ground and first exited states in 7 Li. To date, only one direct measurement of the 6 Li(n,γ) 7 Li cross sections at stellar energies has been performed [6]. The cross sections can also be calculated by the direct capture model with the spectroscopic factors of 7 Li= 6 Li⊗n extracted from the neutron transfer reactions. In the previous studies, the spectroscopic factors were mostly derived by 6 Li(d, p) 7 Li and 7 Li(p, d) 6 Li reactions [7][8][9][10][11], the results are correlative with the neutron spectroscopic factor of deuteron. Thus, it is highly desired to extract the spectroscopic factors through a self- *