# Difference: ThreeDseparationplot (r10 vs. r9)

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

# ThreeDseparationplot

part of the DircPlayground

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:

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

1. Momentum Dependence

1. Momentum Dependence

Plot Number of sigma in dependence of momentum p:

Plot 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

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
• "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.

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

## Pathlength:

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

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

Pathlength of a partice in the radiator of the barrel:

Pathlength of a partice in the radiator of the barrel:

## 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 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 it is shown which fraction of produced kaons can be separated from 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 kaons over the limit of numbers of sigma separation beeing 4. The latter conditions is done for the two track resolutions "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.

On the Example pbar p to phi phi: is shown which numbers of kaon 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 of the detector and last but not least the kaon over the limit of numbers of sigma separation beeing 4. The latter conditions shows that 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 the Barel DIRC.

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:

With a track resolution of 30 mrad:

-- GeorgSchepers - 29 Nov 2007

-- GeorgSchepers - 29 Nov 2007

IAttachmentActionSizeDateWhoComment
gifFull.gifmanage 6.9 K 06 Dec 2007 - 16:21GeorgSchepers Number of sigma in depndence of momentum and theta angle
jpeg goodtrackresolution.jpeg manage30.5 K 14 Jan 2008 - 16:47 GeorgScheperstraqck resulution 10 mrad
gifl.gif manage1.9 K 06 Dec 2007 - 16:18 GeorgSchepersPathlength of a partice in the radiator of the barrel
gifnphotonp.gif manage4.0 K 06 Dec 2007 - 16:13 GeorgSchepersNumber of measured Cherenkov photons
gifnphotonsdetected_plot.gif manage16.1 K 07 Dec 2007 - 17:35 GeorgSchepersDetected Cherenkov photons
gifnsigma.gif manage2.5 K 06 Dec 2007 - 16:12 GeorgSchepersNumber of sigma
gifnsigma_p_plot.gif manage3.4 K 07 Dec 2007 - 17:38 GeorgSchepersNumber of sigma in dependence of momentum p
gifnsigma_p_theta_2000-4000.gif manage21.2 K 07 Dec 2007 - 17:40 GeorgSchepersNumber of sigma in dependence of momentum p (2000-4000MeV/c) and angle theta
gifnsigma_p_theta_500-5000.gif manage21.9 K 07 Dec 2007 - 17:39 GeorgSchepersNumber of sigma in dependence of momentum p (500-5000MeV/c) and angle theta
gif pathlength_thetapsi_plot.gif manage12.9 K 07 Dec 2007 - 14:27 GeorgSchepersPathlength
jpegpbarptophiphi_cutns.jpeg manage48.8 K 11 Dec 2007 - 13:56 GeorgSchepersCut momentum and theta angle and number of sigma larger 4
jpegpbarptophiphi_cutptheta.jpeg manage52.1 K 11 Dec 2007 - 13:55 GeorgSchepersCut momentum and theta angle
jpeg ppbartophiphi.jpeg manage63.8 K 11 Dec 2007 - 13:54 GeorgScheperspbar p to phi phi
gifpsi.gif manage2.8 K 06 Dec 2007 - 16:20 GeorgSchepersAngle psi
gifseparationpower.gifmanage 3.4 K 29 Nov 2007 - 16:17GeorgSchepers Separation power versus momentum
IAttachmentActionSizeDateWhoComment
gifFull.gifmanage 6.9 K 06 Dec 2007 - 16:21GeorgSchepers Number of sigma in depndence of momentum and theta angle
gif l.gif manage1.9 K 06 Dec 2007 - 16:18 GeorgSchepersPathlength of a partice in the radiator of the barrel
gifnphotonp.gif manage4.0 K 06 Dec 2007 - 16:13 GeorgSchepersNumber of measured Cherenkov photons
gifnphotonsdetected_plot.gif manage16.1 K 07 Dec 2007 - 17:35 GeorgSchepersDetected Cherenkov photons
gifnsigma.gif manage2.5 K 06 Dec 2007 - 16:12 GeorgSchepersNumber of sigma
gifnsigma_p_plot.gif manage3.4 K 07 Dec 2007 - 17:38 GeorgSchepersNumber of sigma in dependence of momentum p
gifnsigma_p_theta_2000-4000.gif manage21.2 K 07 Dec 2007 - 17:40 GeorgSchepersNumber of sigma in dependence of momentum p (2000-4000MeV/c) and angle theta
gifnsigma_p_theta_500-5000.gif manage21.9 K 07 Dec 2007 - 17:39 GeorgSchepersNumber of sigma in dependence of momentum p (500-5000MeV/c) and angle theta
gifpathlength_thetapsi_plot.gif manage12.9 K 07 Dec 2007 - 14:27 GeorgSchepersPathlength
jpeg pbarptophiphi_cutns.jpeg manage48.8 K 11 Dec 2007 - 13:56 GeorgSchepersCut momentum and theta angle and number of sigma larger 4
jpegpbarptophiphi_cutptheta.jpeg manage52.1 K 11 Dec 2007 - 13:55 GeorgSchepersCut momentum and theta angle
jpegppbartophiphi.jpeg manage63.8 K 11 Dec 2007 - 13:54 GeorgScheperspbar p to phi phi
gif psi.gif manage2.8 K 06 Dec 2007 - 16:20 GeorgSchepersAngle psi
gifseparationpower.gif manage3.4 K 29 Nov 2007 - 16:17 GeorgSchepersSeparation power versus momentum
r10 - 14 Jan 2008 - 16:06 - GeorgSchepers r9 - 14 Jan 2008 - 14:31 - GeorgSchepers

View topic | View difference interwoven |  | More topic actions

Copyright © by the contributing authors. All material on this collaboration platform is the property of the contributing authors.
Ideas, requests, problems regarding PANDA Wiki? Send feedback
Imprint (in German)