A major contribution in nuclear astrophysics is expected now and in the nea
r future from the use of radioactive beams. This paper presents an indirect
method utilizing radioactive beams to determine the astrophysical S-factor
at the very low energies relevant in stellar processes (tens and hundreds
of keV) from measurements at energies more common to the nuclear physics la
boratories (10 MeV/nucleon). The Asymptotic Normalization Coefficient (ANC)
method consists of the determination from peripheral transfer reactions of
the single particle wave function of the outermost charged particle (proto
n or alpha particle) around a core in its asymptotic region only, as this i
s the part contributing to nuclear reactions at very low energies.
It can be applied to the study of radiative proton or alpha capture reactio
ns, a very important class of stellar reactions. The method is briefly pres
ented along with our recent results in the determination of the astrophysic
al factor for the proton capture reactions Be-7(p, gamma)B-8 and C-11 (p ga
mma)N-12. The first reaction is crucial for the understanding of the solar
neutrino production, the second is a reaction that would bypass the mass A
= 8 gap in the hot pp chains. Our study was done at tile K500 superconducti
ng cyclotron of Texas A&M University (TAMU). Proton transfer reactions with
radioactive beams Be-7 and C-11 produced with MARS were measured, as well
as proton transfer reactions involving stable partners. We present the expe
riments, then discuss the results and the uncertainties arising from the us
e of calculated optical potentials between loosely bound radioactive nuclei
.