We present a search for possible spin dependent interactions of the neutron with matter through exchange of spin 1 bosons with axial vector couplings as envisioned in possible extensions of the Standard Model. This was sought using a slow neutron polarimeter that passed transversely polarized slow neutrons by unpolarized slabs of material arranged so that interactions would tilt the plane of polarization and develop a component along the neutron momentum. The result for the rotation angle, φ = [2.8 ± 4.6(stat.) ± 4.0(sys.)] × 10 −5 rad/m is consistent with zero. This result improves the upper bounds on the neutron-matter coupling g 2 A by about three orders of magnitude for force ranges in the mm -µm regime.in the 1 meV to 1 eV range and with very weak couplings to matter has begun to attract renewed scientific attention. Particles which might act as the mediators are sometimes referred to generically as WISPs (Weakly-Interacting sub-eV Particles) [1,2] in recent theoretical literature. Many theories beyond the Standard Model, including string theories, possess extended symmetries which, when broken at a high energy scale, lead to weakly-coupled light