Thermohaline instability and rotation-induced mixing I. Low- and intermediate-mass solar metallicity stars up to the end of the AGB

Context. Numerous spectroscopic observations provide compelling evidence for non-canonical processes that modify the surface abundances of low-and intermediate-mass stars beyond the predictions of standard stellar theory. Aims. We study the effects of thermohaline instability and rotation-induced mixing in the 1-4 M-circle dot range at solar metallicity. Methods. We present evolutionary models by considering both thermohaline and rotation-induced mixing in stellar interior. We discuss the effects of these processes on the chemical properties of stars from the zero age main sequence up to the end of the second dredge-up on the early-AGB for intermediate-mass stars and up to the AGB tip for low-mass stars. Model predictions are compared to observational data for lithium, C-12/C-13, [N/C], [Na/Fe], O-16/O-17, and O-16/O-18 in Galactic open clusters and in field stars with well-defined evolutionary status, as well as in planetary nebulae. Results. Thermohaline mixing simultaneously accounts for the observed behaviour of C-12/C-13, [N/C], and lithium in low-mass stars that are more luminous than the RGB bump, and its efficiency is increasing with decreasing initial stellar mass. On the TP-AGB, thermohaline mixing leads to lithium production, although the Li-7 yields remain negative. Although the He-3 stellar yields are much reduced thanks to this process, we find that solar-metallicity, low-mass stars remain net He-3 producers. Rotation-induced mixing is found to change the stellar structure so that in the mass range between similar to 1.5 and 2.2 M-circle dot the thermohaline instability occurs earlier on the red giant branch than in non-rotating models. Finally rotation accounts for the observed star-to-star abundance variations at a given evolutionary status, and is necessary to explain the features of CN-processed material in intermediate-mass stars. Conclusions. Overall, the present models account for the observational constraints very well over the whole mass range presently investigated.