We present new theoretical stellar yields and surface abundances for
asymptotic giant branch (AGB) models with a metallicity appropriate for stars
in the Small Magellanic Cloud (SMC, Z=0.0028, [Fe/H] ≈−0.7). New
evolutionary sequences and post-processing nucleosynthesis results are
presented for initial masses between 1M⊙ and 7M⊙, where the
7M⊙ is a super-AGB star with an O-Ne core. Models above
1.15M⊙ become carbon rich during the AGB, and hot bottom burning
begins in models M≥3.75M⊙. We present stellar surface abundances
as a function of thermal pulse number for elements between C to Bi and for a
selection of isotopic ratios for elements up to Fe and Ni (e.g.,
12C/13C), which can be compared to observations. The integrated
stellar yields are presented for each model in the grid for hydrogen, helium
and all stable elements from C to Bi. We present evolutionary sequences of
intermediate-mass models between 4--7M⊙ and nucleosynthesis results
for three masses (M=3.75,5,7M⊙) including s-process elements for
two widely used AGB mass-loss prescriptions. We discuss our new models in the
context of evolved AGB stars and post-AGB stars in the Small Magellanic Clouds,
barium stars in our Galaxy, the composition of Galactic globular clusters
including Mg isotopes with a similar metallicity to our models, and to
pre-solar grains which may have an origin in metal-poor AGB stars.Comment: 19 pages, accepted for publication in MNRA