A recent measurement of ^ { 4 } He photodisintegration reactions , ^ { 4 } He ( \gamma , p ) ^ { 3 } H and ^ { 4 } He ( \gamma , n ) ^ { 3 } He with laser-Compton photons shows smaller cross sections than those estimated by other previous experiments at E _ { \gamma } \lesssim 30 MeV .
We study big-bang nucleosynthesis with the radiative particle decay using the new photodisintegration cross sections of ^ { 4 } He as well as previous data .
The sensitivity of the yields of all light elements D , T , ^ { 3 } He , ^ { 4 } He , ^ { 6 } Li , ^ { 7 } Li and ^ { 7 } Be to the cross sections is investigated .
The change of the cross sections has an influence on the non-thermal yields of D , ^ { 3 } He and ^ { 4 } He .
On the other hand , the non-thermal ^ { 6 } Li production is not sensitive to the change of the cross sections at this low energy , since the non-thermal secondary synthesis of ^ { 6 } Li needs energetic photons of E _ { \gamma } \gtrsim 50 MeV .
The non-thermal nucleosynthesis triggered by the radiative particle decay is one of candidates of the production mechanism of ^ { 6 } Li observed in metal-poor halo stars ( MPHSs ) .
In the parameter region of the radiative particle lifetime and the emitted photon energy which satisfies the ^ { 6 } Li production above the abundance level observed in MPHSs , the change of the photodisintegration cross sections at E _ { \gamma } \lesssim 30 MeV as measured in the recent experiment leads to \sim 10 % reduction of resulting ^ { 3 } He abundance , whereas the ^ { 6 } Li abundance does not change for this change of the cross sections of ^ { 4 } He ( \gamma , p ) ^ { 3 } H and ^ { 4 } He ( \gamma , n ) ^ { 3 } He .
The ^ { 6 } Li abundance , however , could show a sizable change and therefore the future precise measurement of the cross sections at high energy E _ { \gamma } \gtrsim 50 MeV is highly required .