For a theoretical description of the nuclear system, it is necessary to extract the properties observed on the ground and the excited states of the nucleus. Another important application of computing, data B (E2) is for nuclear reaction calculations, which are essential as library parameters and nuclear reaction calculation codes such as EMPIRE and TALYS. Also, by applying the results of the reduced transition probability calculation, the cross-sections of the reaction can be easily determined and quantities such as the astrophysical S factor and the reaction rate can be obtained. The probability of a reduced electric quadrupole transition B (E2) between the ground state and the excited states in the 5He (p, γ) 6Li radiation capture reaction with the Woods-Saxon and M3Y potentials are calculated. The value of B(E2) in the 6Li nucleus between the excited states 3+ and 2+ (with excitation energies of 2.18 MeV and 4.31 MeV) and the ground state with Woods-Saxon potential obtained equal to 10.2 e2fm4 and 4.678 e2fm4, respectively. Also by using the M3Y potential obtained equal to 10.25 e2fm4 and 3.78 e2fm4, respectively. There is a good agreement between the experimental data and the computational results.
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