The radiative capture reaction 'He(a, y)'Be at low energies has been analyzed on the basis of the direct capture model in order to provide a theoretical estimate of the stellar reaction rate. The scattering wave functions of 'He by a and the bound state wave functions of 'Be were constructed by the empirical model, the phenomenological Woods-Saxon potential model, and the orthogonality condition model; these models account for the measured elastic scattering and excitation energies of the low-lying states of 'Be. The total cross section factors $(Ec ) of the E l, M l, and E2 capture from the l = 0-3 partial waves clearly slow a rising behavior as the incident energy goes lower, which agrees with the experimental data. The negative scattering phase shifts, which can be associated with the presence of almost energy-independent inner oscillations in the relative wave function between 'He and a due to the Pauli exclusion principle, seem to be responsible for this behavior.NUCLEAR REACTIONS 3He (u, p)~Be at low energies; direct capture model analysis; othogonality condition model; calculated cr(E), S(E), and branching ratios.

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