Formation of the Neutron Donor C13 in AGB Stars by Overshoot and   Rotation
  (abridged) Observations clearly show that low-mass AGB stars can provide a nucleosynthesis site of the s-process. Recent stellar evolution models indicate that radiative burning of C13 between thermal pulses in low-mass AGB stars may indeed provide the needed neutrons. Some mixing between the proton-rich envelope and the carbon-rich core may lead to the production of C13. However, the responsible physical mechanism is not yet unambiguously identified. We present stellar model calculations with overshoot and rotation. Overshoot, with a time-dependent and exponentially decaying efficiency, leads to a partial mixture of protons and C12 during the third dredge-up. According to the depth-dependent ratio of protons and C12, a small C13-pocket forms underneath a N14-rich layer. Overshoot does not allow for any mixing during the interpulse phase. Rotation introduces mixing driven by large angular velocity gradients which form at the envelope-core interface in AGB stars, in particular after a thermal pulse. This leads to partial mixing after a pulse, as in the case of overshoot. However, rotation continues to mix the region of the C13-pocket with a diffusion coefficient of log D ~ 2...3 [cm**2 / s]. This does not only spread the C13-pocket, but also the more massive N14-rich layer, and finally leads to mixture of both layers. By the time when the temperature there has risen to about 9*10E7K and neutron production sets in, the N14 abundance exceeds the C13 abundance by a factor of 5...10. We analyze the role of N14 as a neutron poison by considering the recycling of neutrons via N14(n,p)C14 and C12(p,gamma)N13(beta+)C13 qualitatively. We find that as long as X(N14) << X(C12), the s-process will still be possible to occur under radiative conditions. 
Falk Herwig (1) and Norbert Langer (2), ((1) Universitaet Potsdam,   Germany, (2) Universitet Utrecht, The Netherlands)