Experimental Sensitivity to Solenoidal Field
From GlueXWiki
References
- GlueX-doc-1471 Electromagnetic Background Rate Studies (for different solenoid magnet fields and FDC hole sizes)
- GlueX-doc-1425 Magnetic Field Studies Status
- GlueX-doc-1469 Studies of particle reconstruction for $\omega$ and X(2000) events
Figure-of-Merit
We construct a Figure-of-Merit (FOM) based on the calculated electromagnetic background rates in the detector and the resolution for reconstructing omega mesons. The validity for this FOM is based on the following argument:
- Statistical sensitivity ~ signal/sqrt(background)
- signal ~ time x luminosity
- background ~ time x luminosity x width of signal peak
In addition, we assume that the luminosity is limited by the rates in the detectors which is dominated by electromagnetic background. Therefore
- luminosity ~ , where is the rate in one of the inner detectors, either the start counter or the FDC. (We use the start counter rate)
Therefore,
- Sensitivity ~ time x luminosity / sqrt (time x luminosity x width) ~ sqrt (time x luminosity / width) ~ sqrt (time / ( x width)
- For constant sensitivity the time ~ x width = 1/FOM.