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Tagpid  ThreeDseparationplot (compare)

Difference: ThreeDseparationplot (r10 vs. r9)


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 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 track
  • "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

The number of produced photons denpends on the pathlength in the radiator which depends again on the incident angle.

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

Pathlength:

Pathlength of a partice in the radiator of the barrel (see PathLength, Aida Galoyan))with: Angle psi:
Angle psi


Pathlength of a partice in the radiator of the barrel:


Pathlength

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


Example on the treatment on the Phase Space Plots


On the Example pbar p to phi phi: phi it is shown which numbers fraction of kaon produced kaons can be separated from the pions with the help of the Barrel Dirc. First one sees all the kaons produced, secondly the kaons in the solid angle and the lower threshold (of the Kaon detection) of the Cherenkov detector and last but not least all the kaon kaons over the limit of numbers of sigma separation beeing 4. The latter conditions shows that is done we loose for higher monenta a not minor amount of kaons (meaning having a not sufficient resolution to separate them from pions) in the angular region of two track resolutions the Barel DIRC. "sigma" (track) = 10 mrad and 30 mrad. It shows that we loose with a bad track resolution for higher monenta a not minor amount of kaons (meaning having a not sufficient resolution to separate them from pions) in the angular region of the Barel DIRC. Remark: The calculations are peliminary and the separation limit arbitrary.


pbar p to phi phi


Cut momentum and theta angle:


Cut momentum and theta angle


Cut momentum and theta angle and number of sigma larger 4:


Cut momentum and theta angle and number of sigma larger 4 With a track resulution of 10 mrad:
traqck resulution 10 mrad

With a track resolution of 30 mrad:
Cut momentum and theta angle and number of sigma larger 4

-- GeorgSchepers - 29 Nov 2007

IAttachmentActionSizeDateWhoCommentSorted ascending
psi.gifgifpsi.gifmanage 2.8 K 06 Dec 2007 - 16:20GeorgSchepers Angle psi
pbarptophiphi_cutptheta.jpegjpegpbarptophiphi_cutptheta.jpegmanage 52.1 K 11 Dec 2007 - 13:55GeorgSchepers Cut momentum and theta angle
pbarptophiphi_cutns.jpegjpegpbarptophiphi_cutns.jpegmanage 48.8 K 11 Dec 2007 - 13:56GeorgSchepers Cut momentum and theta angle and number of sigma larger 4
nphotonsdetected_plot.gifgifnphotonsdetected_plot.gifmanage 16.1 K 07 Dec 2007 - 17:35GeorgSchepers Detected Cherenkov photons
nphotonp.gifgifnphotonp.gifmanage 4.0 K 06 Dec 2007 - 16:13GeorgSchepers Number of measured Cherenkov photons
nsigma.gifgifnsigma.gifmanage 2.5 K 06 Dec 2007 - 16:12GeorgSchepers Number of sigma
nsigma_p_plot.gifgifnsigma_p_plot.gifmanage 3.4 K 07 Dec 2007 - 17:38GeorgSchepers Number of sigma in dependence of momentum p
nsigma_p_theta_2000-4000.gifgifnsigma_p_theta_2000-4000.gifmanage 21.2 K 07 Dec 2007 - 17:40GeorgSchepers Number of sigma in dependence of momentum p (2000-4000MeV/c) and angle theta
nsigma_p_theta_500-5000.gifgifnsigma_p_theta_500-5000.gifmanage 21.9 K 07 Dec 2007 - 17:39GeorgSchepers Number of sigma in dependence of momentum p (500-5000MeV/c) and angle theta
Full.gifgifFull.gifmanage 6.9 K 06 Dec 2007 - 16:21GeorgSchepers Number of sigma in depndence of momentum and theta angle
pathlength_thetapsi_plot.gifgifpathlength_thetapsi_plot.gifmanage 12.9 K 07 Dec 2007 - 14:27GeorgSchepers Pathlength
l.gifgifl.gifmanage 1.9 K 06 Dec 2007 - 16:18GeorgSchepers Pathlength of a partice in the radiator of the barrel
ppbartophiphi.jpegjpegppbartophiphi.jpegmanage 63.8 K 11 Dec 2007 - 13:54GeorgSchepers pbar p to phi phi
separationpower.gifgifseparationpower.gifmanage 3.4 K 29 Nov 2007 - 16:17GeorgSchepers Separation power versus momentum
goodtrackresolution.jpegjpeggoodtrackresolution.jpegmanage 30.5 K 14 Jan 2008 - 16:47GeorgSchepers traqck resulution 10 mrad

Revision r10 - 14 Jan 2008 - 16:06 - GeorgSchepers
Revision r9 - 14 Jan 2008 - 14:31 - GeorgSchepers
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