Unparticle induced baryon number violating nucleon decays

We study baryon number violating nucleon decays induced by unparticle interactions with the standard model particles. We find that the lowest dimension operators which cause nucleon decays can arise at dimension 6+(d-3/2) with the unparticles being a spinor of dimension d=d+1/2. For scalar and vector unparticles of dimension d, the lowest order operators arise at 6+d and 7+d dimensions, respectively. Comparing the spinor unparticle induced n→OUs and experimental bound on invisible decay of a neutron from KamLAND, we find that the scale for unparticle physics is required to be larger than 10 GeV for d<2 if the couplings are set to be of order one. For scalar and vector unparticles, the dominant baryon number violating decay modes are n→ν¯+O(OUμ) and p→e+O(OUμ). The same experimental bound puts the scales for scalar and vector unparticle to be larger than 10⁷ and 10 GeV for d<2 with couplings set to be of order one. Data on p→e invisible puts similar constraints on unparticle interactions.