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I present a measurement of the t{bar t} production cross section at {radical}s = 1.96 TeV using 2034 pb{sup -1} of CDF Run II data using events with a high transverse momentum electron or muon, three or more jets, and missing transverse energy. The measurement assumes a t {yields} Wb branching fraction of 100 percent. Events consistent with t{bar t} decay are found by identifying jets containing heavy-flavor semileptonic decays to muons. The dominant backgrounds are evaluated directly from the data. Based on 248 candidate events and an expected background of 86.8 {+-} 5.6 events, I measure a production cross section of 8.7 {+-} 1.1{sub -0.8}{sup +0.9} {+-} 0.6 pb, in agreement with the Standard Model

A Measurement of the t $\bar{t}$ Production Cross Section in p $\bar{p}$ Collisions at √s = 1.96-TeV using Soft Muon Tagging