Tagpid  ThreeDseparationplot (compare)

# 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 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.

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

## Pathlength:

(see PathLength, Aida Galoyan))with: Angle psi:

Pathlength of a partice in the radiator of the barrel:

## 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:

## 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.

Cut momentum and theta angle:

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

With a track resulution of 10 mrad:

With a track resolution of 30 mrad:

-- GeorgSchepers - 29 Nov 2007

IAttachmentActionSizeDateWhoComment
gifl.gifmanage 1.9 K 06 Dec 2007 - 16:18GeorgSchepers Pathlength of a partice in the radiator of the barrel
gifnsigma.gifmanage 2.5 K 06 Dec 2007 - 16:12GeorgSchepers Number of sigma
gifpsi.gifmanage 2.8 K 06 Dec 2007 - 16:20GeorgSchepers Angle psi
gifnsigma_p_plot.gifmanage 3.4 K 07 Dec 2007 - 17:38GeorgSchepers Number of sigma in dependence of momentum p
gifseparationpower.gifmanage 3.4 K 29 Nov 2007 - 16:17GeorgSchepers Separation power versus momentum
gifnphotonp.gifmanage 4.0 K 06 Dec 2007 - 16:13GeorgSchepers Number of measured Cherenkov photons
gifFull.gifmanage 6.9 K 06 Dec 2007 - 16:21GeorgSchepers Number of sigma in depndence of momentum and theta angle
gifpathlength_thetapsi_plot.gifmanage 12.9 K 07 Dec 2007 - 14:27GeorgSchepers Pathlength
gifnphotonsdetected_plot.gifmanage 16.1 K 07 Dec 2007 - 17:35GeorgSchepers Detected Cherenkov photons
gifnsigma_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
gifnsigma_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
jpegpbarptophiphi_cutns.jpeg goodtrackresolution.jpeg manage48.8 30.5 K 11 Dec 2007 14 Jan 2008 - 13:56 16:47 GeorgSchepersCut momentum and theta traqck resulution 10 mrad angle and number of sigma larger 4
jpegpbarptophiphi_cutptheta.jpeg pbarptophiphi_cutns.jpeg manage52.1 48.8 K 11 Dec 2007 - 13:55 13:56 GeorgSchepersCut momentum and theta angle and number of sigma larger 4
jpegppbartophiphi.jpeg pbarptophiphi_cutptheta.jpeg manage63.8 52.1 K 11 Dec 2007 - 13:54 13:55 GeorgScheperspbar p to phi phi Cut momentum and theta angle
jpegppbartophiphi.jpegmanage 63.8 K 11 Dec 2007 - 13:54GeorgSchepers pbar p to phi phi

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