  We investigate a class of models for new physics which could produce a large
difference in sin 2 beta between B0-> J/\psi K(S) and the ``pure penguin'' mode
B0-> phi K(S). In such models, the dominant effect is through a Z-penguin and
therefore a pattern of deviation in sin 2beta as measured in B0-> chi(1) K(S);
eta(c) K(S); J/\psi K(S) and psi-prime K(S) is predicted. If the preliminary
data concerning the discrepancy between J/\psi K(S) and phi K(S) proves correct
in magnitude, discrepancies in these other modes would likely be observable. We
also consider the effects such new physics could have on the B(s) system and
the isospin analysis of B-> K\pi. We compare this scenario with a scenario
where contributions to sin 2beta in various modes is produced by gluino loops
and down squark mixing.
