This scan changes the dead time per count to show how detector pressure grows even when the ledger stays small. One second per count accepts 6 counts for 6 dead seconds, 2 seconds per count accepts 4 counts for 8 dead seconds, and 3 seconds per count accepts 3 counts for 9 dead seconds. Real detectors need measured recovery curves, rate-dependent pileup checks, timing calibration, and uncertainty around each per-count dead-time estimate.
Longer dead intervals reduce the accepted count on the same clock. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
One-second dead time accepts six counts
Dead time per count is 1 second. The checked count is 6, so dead time is 6 seconds.
D=Nτ=6×1=6,L=6
Two-second dead time accepts four counts
Dead time per count is 2 seconds. The checked count is 4, so dead time is 8 seconds.
D=Nτ=4×2=8,L=4
Three-second dead time accepts three counts
Dead time per count is 3 seconds. The checked count is 3, so dead time is 9 seconds.