  In view of a possible upgrade of the RHIC-Spin program at BNL, concerning
both the machine and the detectors, we give some predictions concerning the
potentialities of New Physics detection with polarized proton beams. We focus
on parity-violating asymmetries in one-jet production due to contact terms or
to a new leptophobic neutral gauge boson. We comment on the main uncertainties
and we compare with unpolarized searches at Tevatron.
