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The potential discovery of unparticles could have far-reaching implicationsfor particle physics and cosmology. For over a decade, high-energy physicistshave extensively studied the effects of unparticles. In this study, we derivesix types of nonrelativistic potentials between fermions induced by unparticleexchange in coordinate space. We consider all possible combinations of scalar,pseudo-scalar, vector, and axial-vector couplings to explore the full range ofpossibilities. Previous studies have only examined scalar-scalar (SS),pseudoscalar-pseudoscalar (PP), vector-vector (VV), and axial-axial-vector (AA)type interactions, which are all parity even. We propose SP and VA interactionsto extend our understanding of unparticle physics, noting that parityconservation is not always guaranteed in modern physics. We explore thepossibilities of detecting unparticles through the long-range interactions theymay mediate with ordinary matter. Dedicated experiments using precisionmeasurement methods can be employed to search for such interactions. We discussthe properties of these potentials and estimate constraints on several couplingconstants based on existing experimental data. Our findings indicate that thecoupling between vector unparticles and fermions is constrained by up to 9orders of magnitude more tightly than the previous limits.

Exotic spin-dependent interactions through unparticle exchange