ThreeDseparationplot


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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 in dependence of momentum p
  • Number of sigma:
    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
Pathlength of a partice in the radiator of the barrel:

Pathlength of a partice in the radiator of the barrel with: Angle psi:
Angle psi

Number of measured Cherenkov photons:

Number of measured Cherenkov photons

Detected Cherenkov photons:

Detected Cherenkov photons

Number of sigma in dependence of momentum and theta angle:

Number of sigma in depndence 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 (500-5000MeV/c) and angle theta
Number of sigma in dependence of momentum p (2000-4000MeV/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
Full.gifgif Full.gif manage 6.9 K 06 Dec 2007 - 16:21 GeorgSchepers Number of sigma in depndence of momentum and theta angle
l.gifgif l.gif manage 1.9 K 06 Dec 2007 - 16:18 GeorgSchepers Pathlength of a partice in the radiator of the barrel
nphotonp.gifgif nphotonp.gif manage 4.0 K 06 Dec 2007 - 16:13 GeorgSchepers Number of measured Cherenkov photons
nphotonsdetected_plot.gifgif nphotonsdetected_plot.gif manage 16.1 K 07 Dec 2007 - 17:35 GeorgSchepers Detected Cherenkov photons
nsigma.gifgif nsigma.gif manage 2.5 K 06 Dec 2007 - 16:12 GeorgSchepers Number of sigma
nsigma_p_plot.gifgif nsigma_p_plot.gif manage 3.4 K 07 Dec 2007 - 17:38 GeorgSchepers Number of sigma in dependence of momentum p
nsigma_p_theta_2000-4000.gifgif 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
nsigma_p_theta_500-5000.gifgif 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
pathlength_thetapsi_plot.gifgif pathlength_thetapsi_plot.gif manage 12.9 K 07 Dec 2007 - 14:27 GeorgSchepers Pathlength
psi.gifgif psi.gif manage 2.8 K 06 Dec 2007 - 16:20 GeorgSchepers Angle psi
separationpower.gifgif 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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