The F-19 production during the first dozen thermal pulses of AGE stars
with masses M and metallicities Z (M = 3 M., Z = 0.02), (M = 6 M., Z
= 0.02) and (M = 3 M., Z = 0.001) is investigated on grounds of detail
ed stellar models and of revised rates for N-15(alpha,gamma)F-19 and O
-18(alpha, gamma)Ne-22. These calculations confirm an early expectatio
n that F-19 is produced in AGE thermal pulses. They also enlarge subst
antially these previous results by showing that the variations of the
level of F-19 production during the evolution is very sensitive to the
maximum temperature reached at the base of the pulse. These variation
s are analyzed in detail, and are shown to result from a subtle balanc
e between different nuclear effects (mainly F-19 production or destruc
tion in a pulse, and N-15 synthesis during the interpulse), possibly s
uperimposed on dilution effects in more or less extended pulse convect
ive tongues. Our calculations, as most others, do not predict the thir
d dredge-up self-consistently. When parametrized, it appears that our
models of intermediate-mass AGE stars are able to account only for the
lowest F-19 overabundances observed in solar-metallicity MS, S and C
stars. That conclusion is expected to hold true for low-mass stars whe
n fluorine production results from secondary C-13 only. Massive AGE st
ars, on the other hand, are not expected to build up large surface F a
bundances. Therefore, the large fluorine overabundance reported for th
e super Li-rich star WZ Cas (where hot bottom burning is supposed to b
e operating) remains unexplained so far. Our results for the (3 M., Z
= 0.001) star indicate that fluorine surface overabundances can also b
e expected in low-metallicity stars provided that third dredge-ups occ
ur after the early cool pulses. The relative increase in the surface F
-19/C-12 ratio is, however, lower in the low-metallicity than in the s
olar-metallicity star. No observations are reported yet for these star
s, and are urgently called for.