# ThreeDseparationplot

part of the DircPlayground

## Calculation of the Separationpower in dependence of momentum and angle

The dependence of N(sigma) from the momentum p and the angle theta is calculated and displayed with Mathematia:

1. Momentum Dependence

Plot Number of sigma in dependence of momentum p:
• Number of sigma:

The plot represents the Numbers of sigmas two particles are separated depending on the mometum with
• "sigma" = 0.01 is the resolution of a single photon
• "sigma/sqrt(nph)" gives the resolution of a track with
• nph = 16 is a typical number of produced photons
• Kaon = 493.68 MeV
• pionn = 139.57
• refractiv index n=1.47

## 2. Angle Dependence

See also
http://www.gae.ucm.es/~emma/tesina/node4.html

## Pathlength:

Pathlength of a partice in the radiator of the barrel:

with: Angle psi:

## Number of measured Cherenkov photons:

Detected Cherenkov photons:

## Number of sigma in dependence of momentum and theta angle:

Number of sigma in dependence of momentum p (500-5000MeV/c) and angle theta:

Number of sigma in dependence of momentum p (2000-4000MeV/c) and angle theta:

-- GeorgSchepers - 29 Nov 2007
Topic attachments
I Attachment Action Size Date Who Comment
gif Full.gif manage 6.9 K 06 Dec 2007 - 16:21 GeorgSchepers Number of sigma in depndence of momentum and theta angle
gif l.gif manage 1.9 K 06 Dec 2007 - 16:18 GeorgSchepers Pathlength of a partice in the radiator of the barrel
gif nphotonp.gif manage 4.0 K 06 Dec 2007 - 16:13 GeorgSchepers Number of measured Cherenkov photons
gif nphotonsdetected_plot.gif manage 16.1 K 07 Dec 2007 - 17:35 GeorgSchepers Detected Cherenkov photons
gif nsigma.gif manage 2.5 K 06 Dec 2007 - 16:12 GeorgSchepers Number of sigma
gif nsigma_p_plot.gif manage 3.4 K 07 Dec 2007 - 17:38 GeorgSchepers Number of sigma in dependence of momentum p
gif nsigma_p_theta_2000-4000.gif manage 21.2 K 07 Dec 2007 - 17:40 GeorgSchepers Number of sigma in dependence of momentum p (2000-4000MeV/c) and angle theta
gif nsigma_p_theta_500-5000.gif manage 21.9 K 07 Dec 2007 - 17:39 GeorgSchepers Number of sigma in dependence of momentum p (500-5000MeV/c) and angle theta
gif pathlength_thetapsi_plot.gif manage 12.9 K 07 Dec 2007 - 14:27 GeorgSchepers Pathlength
gif psi.gif manage 2.8 K 06 Dec 2007 - 16:20 GeorgSchepers Angle psi
gif separationpower.gif manage 3.4 K 29 Nov 2007 - 16:17 GeorgSchepers Separation power versus momentum
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Topic revision: r6 - 07 Dec 2007, GeorgSchepers
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