We examine the effect of isospin-violating meson-nucleon coupling cons
tants and of pi-eta mixing on the binding-energy differences of mirror
nuclei in a model that possesses no contribution from rho-omega mixin
g. The He-3-H-3 binding-energy difference is computed in a nonrelativi
stic approach using a realistic wave function. We find the He-3-H-3 bi
nding-energy difference very sensitive to the short-distance behavior
of the nucleon-nucleon potential. We conclude that for the typically h
ard Bonn form factors such models cannot account for the observed bind
ing-energy difference in the three-nucleon system. For the medium-mass
region (A = 15-41) the binding-energy differences of mirror nuclei ar
e computed using a relativistic mean-field approximation to the Waleck
a model. We obtain large binding-energy differences - of the order of
several hundred keV - arising from the pseudoscalar sector, Two effect
s are primarily responsible for this new finding: a) the inclusion of
isospin breaking in the pion-nucleon coupling constant and b) the in-m
edium enhancement of the small components of the bound-state wave func
tions, We look for off-shell ambiguities in these results and find the
m to be large; while 70-85% of the anomaly can be explained with a pse
udoscalar coupling only 30% of it can be accounted for with a pseudove
ctor vertex.