A New Formula for Computing Mean Neutron Exposure

We have investigated the characteristics of the distribution of neutron exposures (“DNE” hereafter) in the He-shell nucleosynthesis regions in the model of s-process nucleosynthesis in low-mass AGB (Asymptotic Giant Branch) stars in ¹³C radiatively burning conditions. The result indicates that although the DNE obtained with this model is still approximately exponential, like those of the previous convective s-process scenarios, the relation between the neutron exposure Δτ of each pulse and the mean neutron exposure τ₀ is no longer τ₀ = −Δτ/ln r, rather, it is now approximately τ0 = −Δτ/ ln{q[1.0020 + 0.6602(r − q) + 4.6125(r − q)²− 10.8962(r − q)³+ 13.9138(r − q)⁴]} (r is the overlap factor, q is the mass ratio of the ¹³C shell to the He shell). This formula unifies the stellar model of radiative s-process with the classical model from the angle of DNE.