Abstract
Customarily one extracts the half-life of a nuclear state from a delayed time spectrum by an analysis of the centroid shift, the slope and lately by the convolution method. Recently there have been two formulas relating the centroid shift to the half-life of the nuclear state. These two procedures can give different results for the half-life when T 1 2 the same order or less than the time width of one channel. An extensive investigation of these two formulas and procedures has been made by measuring the half-life of the first excited state in 207Pb at 569.6 keV. Our analysis confirms Bay's formula relating the centroid shift to the half-life of the state. The half-life of the 569.6 keV level in 207Pb is measured to be (129±3) ps in excellent agreement with Weisskopf's single particle estimate of 128 ps for an E2 transition.
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