We search for excited and exotic muon states mu(*) using an integrated luminosity of 371 pb(-1) of p (p) over bar collision data at root s=1.96 TeV. We search for associated production of mu mu(*) followed by the decay mu(*)->mu gamma. We compare the data to model predictions as a function of the mass of the excited muon M(mu)(*), the compositeness energy scale Lambda, and the gauge coupling factor f. No signal above the standard model expectation is observed. We exclude 107 < M(mu)(*)< 853 GeV/c(2) for Lambda=M(mu)(*) in the contact interaction model, and 100 < M(mu)(*)< 410 GeV/c(2) for f/Lambda=10(-2) GeV(-1) in the gauge-mediated model, both at the 95% confidence level. RI Ruiz, Alberto/E-4473-2011; Robson, Aidan/G-1087-2011; De Cecco, Sandro/B-1016-2012; St.Denis, Richard/C-8997-2012; Prokoshin, Fedor/E-2795-2012; Azzi, Patrizia/H-5404-2012
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