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mdoucet committed Jan 9, 2025
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2 changes: 1 addition & 1 deletion docs/index.html
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Expand Up @@ -204,5 +204,5 @@ <h2 id="developer-guide">Developer Guide</h2>

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2 changes: 1 addition & 1 deletion docs/search/search_index.json

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12 changes: 6 additions & 6 deletions docs/user/event_processing/index.html
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Expand Up @@ -148,15 +148,15 @@ <h2 id="loading-events-and-dead-time-correction">Loading events and dead time co
after the dead time period [1].</p>
<p>The dead time correction to be multiplied by the measured detector counts is given by
the following for the paralyzing case:</p>
<p>$$
<div class="arithmatex">\[
C_{par} = -{\cal Re}W_0(-R\tau/\Delta_{TOF}) \Delta_{TOF}/R
$$
where <span class="arithmatex">\(R\)</span> is the number of triggers per accelerator pulse within a time-of-flight bin <span class="arithmatex">\(\Delta_{TOF}\)</span>.
\]</div>
<p>where <span class="arithmatex">\(R\)</span> is the number of triggers per accelerator pulse within a time-of-flight bin <span class="arithmatex">\(\Delta_{TOF}\)</span>.
The dead time for the current BL4B detector is <span class="arithmatex">\(\tau=4.2\)</span> <span class="arithmatex">\(\mu s\)</span>. In the equation avove, <span class="arithmatex">\({\cal Re}W_0\)</span> referes to the principal branch of the Lambert W function.</p>
<p>The following is used for the non-paralyzing case:
$$
<p>The following is used for the non-paralyzing case:</p>
<div class="arithmatex">\[
C_{non-par} = 1/(1-R\tau/\Delta_{TOF})
$$</p>
\]</div>
<p>By default, we use a paralyzing dead time correction with <span class="arithmatex">\(\Delta_{TOF}=100\)</span> <span class="arithmatex">\(\mu s\)</span>. These parameters can be changed.</p>
<p>The BL4B detector is a wire chamber with a detector readout that includes digitization of the
position of each event. For a number of reasons, like event pileup, it is possible for the
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