We present a measurement of the total decay width of the top quark using
events with top-antitop-quark pair candidates reconstructed in the final state
with one charged lepton and four or more hadronic jets. We use the full
Tevatron Run~II data set of $sqrt{s} = 1.96$~TeV proton-antiproton collisions
recorded by the CDF II detector. The top-quark mass and the mass of the
hadronically-decaying $W$ boson are reconstructed for each event and compared
with distributions derived from simulated signal and background samples to
extract the top-quark width (gmt) and the energy scale of the calorimeter jets
with {it in-situ} calibration. For a top-quark mass $mtop = gevcc{172.5}$,
we find $1.10<gmt<gev{4.05}$ at 68\% confidence level, which is in agreement
with the standard-model expectation of gev{1.3} and is the most precise direct
measurement of the top-quark width to date.
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