Accidental Purity Floor Three-Row Scan - Detector Physics: Dead Time and Coincidence Timing Step by Step

Accidental rate grows the denominator and lowers coincidence purity. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Small accidental product stays above the floor

Rates 1 hertz and 2 hertz make accidental rate 4 hertz.

p=4/8=1/2,\quad p_{\min}=1/3,\quad\text{pass}

Middle accidental product lands on the floor

Rates 2 hertz and 2 hertz make accidental rate 8 hertz.

p=4/12=1/3,\quad p_{\min}=1/3,\quad\text{pass}

Larger accidental product drops below the floor

Rates 2 hertz and 3 hertz make accidental rate 12 hertz.

p=4/16=1/4,\quad p_{\min}=1/3,\quad\text{fail}