The differential cross sections for the reactions 9 Be(10 B, 10 B) 9 Be and 9 Be(10 B, 9 Be) 10 B have been measured at an incident energy of 100 MeV. The elastic scattering data have been used to determine the optical model parameters for the 9 Beϩ 10 B system at this energy. These parameters are then used in distorted-wave Born approximation ͑DWBA͒ calculations to predict the cross sections of the 9 Be(10 B, 9 Be) 10 B proton exchange reaction, populating the ground and low-lying states in 10 B. By normalizing the theoretical DWBA proton exchange cross sections to the experimental ones, the asymptotic normalization coefficients ͑ANC's͒, defining the normalization of the tail of the 10 B bound state wave functions in the two-particle channel 9 Beϩp, have been found. The ANC for the virtual decay 10 B(g.s.)→ 9 Beϩp will be used in an analysis of the 10 B(7 Be, 8 B) 9 Be reaction to extract the ANC's for 8 B→ 7 Beϩp. These ANC's determine the normalization of the 7 Be(p,␥) 8 B radiative capture cross section at very low energies, which is crucially important for nuclear astrophysics. ͓S0556-2813͑97͒02109-2͔

The 16 O( 3 He,d) 17 F reaction has been used to determine asymptotic normalization coefficients for transitions to the ground and first excited states of 17 F. The coefficients provide the normalization for the tails of the overlap functions for 17 F→ 16 Oϩp and allow us to calculate the S factors for 16 O(p,␥) 17 F at astrophysical energies. The calculated S factors are compared to measurements and found to be in very good agreement. This provides a test of this indirect method to determine astrophysical direct capture rates using transfer reactions. In addition, our results yield S(0) for capture to the ground and first excited states in 17 F, without the uncertainty associated with extrapolation from higher energies. ͓S0556-2813͑99͒00702-5͔ PACS number͑s͒: 25.40. Lw, 25.55.Hp, 26.20.ϩf, 27.20.ϩn

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Calculations of simultaneous two-particle transfer cross-sections are performed with different overlap factors, using DWBA with the recoil included exactly.The interaction between the particles, taken into account in the overlap functions, lead to enhancements of the cross-sections by factors of 2 to 3, when the overlaps are calculated in a basis with a large number of functions, corresponding to shell model continuum components.