# Difference: ThreeDseparationplot (1 vs. 12)

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## 2. Angle Dependence

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

Revision 11
15 Jan 2008 - Main.GeorgSchepers
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## Example on the treatment on the Phase Space Plots

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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.
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(Presented in the PidtagMeeting07). On the Example pbar p to phi phi (find the full set of Phasespaceplots on VrvsMeeting11) 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. Revision 10
14 Jan 2008 - Main.GeorgSchepers
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## Example on the treatment on the Phase Space Plots

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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.
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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. Line: 86 to 86

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

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With a track resulution of 10 mrad: With a track resolution of 30 mrad: -- GeorgSchepers - 29 Nov 2007
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 META FILEATTACHMENT attr="" comment="pbar p to phi phi" date="1197381288" name="ppbartophiphi.jpeg" path="ppbartophiphi.jpeg" size="65283" user="GeorgSchepers" version="1.1" attr="" comment="Cut momentum and theta angle" date="1197381353" name="pbarptophiphi_cutptheta.jpeg" path="pbarptophiphi_cutptheta.jpeg" size="53358" user="GeorgSchepers" version="1.1" attr="" comment="Cut momentum and theta angle and number of sigma larger 4" date="1197381407" name="pbarptophiphi_cutns.jpeg" path="pbarptophiphi_cutns.jpeg" size="49957" user="GeorgSchepers" version="1.1"
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 META FILEATTACHMENT attr="" comment="traqck resulution 10 mrad" date="1200329222" name="goodtrackresolution.jpeg" path="goodtrackresolution.jpeg" size="31218" user="GeorgSchepers" version="1.1"
Revision 9
14 Jan 2008 - Main.GeorgSchepers
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## Example on the treatment on the Phase Space Plots

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pbar p to phi phi:
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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. Revision 8
11 Dec 2007 - Main.GeorgSchepers
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## Example on the treatment on the Phase Space Plots

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pbar p to phi phi: Cut momentum and theta angle: Cut momentum and theta angle and number of sigma larger 4: -- GeorgSchepers - 29 Nov 2007
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• Ref.: Aida Galoyan: META FILEATTACHMENT attr="" comment="Separation power versus momentum" date="1196353043" name="separationpower.gif" path="separationpower.gif" size="3526" user="GeorgSchepers" version="1.1" attr="" comment="Number of sigma" date="1196957565" name="nsigma.gif" path="nsigma.gif" size="2599" user="GeorgSchepers" version="1.1" attr="" comment="Number of measured Cherenkov photons" date="1196957630" name="nphotonp.gif" path="nphotonp.gif" size="4140" user="GeorgSchepers" version="1.1"
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 META FILEATTACHMENT attr="" comment="Number of sigma in dependence of momentum p" date="1197049114" name="nsigma_p_plot.gif" path="nsigma_p_plot.gif" size="3466" user="GeorgSchepers" version="1.1" attr="" comment="Number of sigma in dependence of momentum p (500-5000MeV/c) and angle theta" date="1197049185" name="nsigma_p_theta_500-5000.gif" path="nsigma_p_theta_500-5000.gif" size="22452" user="GeorgSchepers" version="1.1" attr="" comment="Number of sigma in dependence of momentum p (2000-4000MeV/c) and angle theta" date="1197049220" name="nsigma_p_theta_2000-4000.gif" path="nsigma_p_theta_2000-4000.gif" size="21692" user="GeorgSchepers" version="1.1"
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 META FILEATTACHMENT attr="" comment="pbar p to phi phi" date="1197381288" name="ppbartophiphi.jpeg" path="ppbartophiphi.jpeg" size="65283" user="GeorgSchepers" version="1.1" attr="" comment="Cut momentum and theta angle" date="1197381353" name="pbarptophiphi_cutptheta.jpeg" path="pbarptophiphi_cutptheta.jpeg" size="53358" user="GeorgSchepers" version="1.1" attr="" comment="Cut momentum and theta angle and number of sigma larger 4" date="1197381407" name="pbarptophiphi_cutns.jpeg" path="pbarptophiphi_cutns.jpeg" size="49957" user="GeorgSchepers" version="1.1"
Revision 7
10 Dec 2007 - Main.GeorgSchepers
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# ThreeDseparationplot

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

Line: 19 to 18 The plot represents the Numbers of sigmas two particles are separated depending on the mometum with
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• "sigma" = 0.01 is the resolution of a single photon
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• "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
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## 2. Angle Dependence

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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
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## Pathlength:

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(see PathLength, Aida Galoyan))with:
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Pathlength of a partice in the radiator of the barrel: ## Number of measured Cherenkov photons: Changed:
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Detected Cherenkov photons:
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-- GeorgSchepers - 29 Nov 2007
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• Ref.: Aida Galoyan: META FILEATTACHMENT attr="" comment="Separation power versus momentum" date="1196353043" name="separationpower.gif" path="separationpower.gif" size="3526" user="GeorgSchepers" version="1.1" attr="" comment="Number of sigma" date="1196957565" name="nsigma.gif" path="nsigma.gif" size="2599" user="GeorgSchepers" version="1.1" attr="" comment="Number of measured Cherenkov photons" date="1196957630" name="nphotonp.gif" path="nphotonp.gif" size="4140" user="GeorgSchepers" version="1.1"
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07 Dec 2007 - Main.GeorgSchepers
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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
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The dependence of N(sigma) from the momentum p and the angle theta is calculated and displayed with Mathematia
Nsigma= (Kaon^2 - pion^2) / ((2 * p^2 * sigma/Sqrt[nph] * Sqrt[n^2 - 1]))

Plot Number of sigma in dependence of momentum p: Line: 29 to 28

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2. Angle Dependence
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## 2. Angle Dependence

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

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## Pathlength:

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## Number of measured Cherenkov photons:

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• Number of sigma in depndence of momentum and theta angle: >
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## Number of sigma in dependence of momentum and theta angle: Changed:
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• Number of sigma in dependence of momentum p (500-5000MeV/c) and angle theta:
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Number of sigma in dependence of momentum p (500-5000MeV/c) and angle theta: Changed:
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• Number of sigma in dependence of momentum p (2000-4000MeV/c) and angle theta:
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Number of sigma in dependence of momentum p (2000-4000MeV/c) and angle theta: Revision 5
07 Dec 2007 - Main.GeorgSchepers
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1. Momentum Dependence
The dependence of N(sigma) from the momentum p and the angle theta is calculated and displayed with Mathematia
Nsigma= (Kaon^2 - pion^2) / ((2 * p^2 * sigma/Sqrt[nph] * Sqrt[n^2 - 1]))
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Plot
Separation power versus momentum: >
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Plot Number of sigma in dependence of momentum p: • Number of sigma: Line: 33 to 33

http://www.gae.ucm.es/~emma/tesina/node4.html
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• Pathlength: Changed:
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-- GeorgSchepers - 29 Nov 2007
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• 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

 META FILEATTACHMENT attr="" comment="Separation power versus momentum" date="1196353043" name="separationpower.gif" path="separationpower.gif" size="3526" user="GeorgSchepers" version="1.1" attr="" comment="Number of sigma" date="1196957565" name="nsigma.gif" path="nsigma.gif" size="2599" user="GeorgSchepers" version="1.1"
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 META FILEATTACHMENT attr="" comment="Angle psi" date="1196958016" name="psi.gif" path="psi.gif" size="2848" user="GeorgSchepers" version="1.1" attr="" comment="Number of sigma in depndence of momentum and theta angle" date="1196958065" name="Full.gif" path="Full.gif" size="7072" user="GeorgSchepers" version="1.1" attr="" comment="Pathlength" date="1197037638" name="pathlength_thetapsi_plot.gif" path="pathlength_thetapsi_plot.gif" size="13258" user="GeorgSchepers" version="1.1"
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 META FILEATTACHMENT attr="" comment="Detected Cherenkov photons" date="1197048918" name="nphotonsdetected_plot.gif" path="nphotonsdetected_plot.gif" size="16436" user="GeorgSchepers" version="1.1" attr="" comment="Number of sigma in dependence of momentum p" date="1197049114" name="nsigma_p_plot.gif" path="nsigma_p_plot.gif" size="3466" user="GeorgSchepers" version="1.1" attr="" comment="Number of sigma in dependence of momentum p (500-5000MeV/c) and angle theta" date="1197049185" name="nsigma_p_theta_500-5000.gif" path="nsigma_p_theta_500-5000.gif" size="22452" user="GeorgSchepers" version="1.1" attr="" comment="Number of sigma in dependence of momentum p (2000-4000MeV/c) and angle theta" date="1197049220" name="nsigma_p_theta_2000-4000.gif" path="nsigma_p_theta_2000-4000.gif" size="21692" user="GeorgSchepers" version="1.1"
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07 Dec 2007 - Main.GeorgSchepers
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The dependence of N(sigma) from the momentum p and the angle theta is calculated and displayed with Mathematia
Nsigma= (Kaon^2 - pion^2) / ((2 * p^2 * sigma/Sqrt[nph] * Sqrt[n^2 - 1]))

Plot
Separation power versus momentum:
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• 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
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• Number of sigma in depndence of momentum and theta angle: >
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• Pathlength: META FILEATTACHMENT attr="" comment="Separation power versus momentum" date="1196353043" name="separationpower.gif" path="separationpower.gif" size="3526" user="GeorgSchepers" version="1.1" attr="" comment="Number of sigma" date="1196957565" name="nsigma.gif" path="nsigma.gif" size="2599" user="GeorgSchepers" version="1.1" attr="" comment="Number of measured Cherenkov photons" date="1196957630" name="nphotonp.gif" path="nphotonp.gif" size="4140" user="GeorgSchepers" version="1.1" attr="" comment="Pathlength of a partice in the radiator of the barrel" date="1196957932" name="l.gif" path="l.gif" size="1960" user="GeorgSchepers" version="1.1" attr="" comment="Angle psi" date="1196958016" name="psi.gif" path="psi.gif" size="2848" user="GeorgSchepers" version="1.1" attr="" comment="Number of sigma in depndence of momentum and theta angle" date="1196958065" name="Full.gif" path="Full.gif" size="7072" user="GeorgSchepers" version="1.1"
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 META FILEATTACHMENT attr="" comment="Pathlength" date="1197037638" name="pathlength_thetapsi_plot.gif" path="pathlength_thetapsi_plot.gif" size="13258" user="GeorgSchepers" version="1.1"
Revision 3
06 Dec 2007 - Main.GeorgSchepers
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-- GeorgSchepers - 29 Nov 2007
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• Number of sigma: • Number of measured Cherenkov photons: • Pathlength of a partice in the radiator of the barrel: • Angle psi: • Number of sigma in depndence of momentum and theta angle: META FILEATTACHMENT attr="" comment="Separation power versus momentum" date="1196353043" name="separationpower.gif" path="separationpower.gif" size="3526" user="GeorgSchepers" version="1.1"
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 META FILEATTACHMENT attr="" comment="Number of sigma" date="1196957565" name="nsigma.gif" path="nsigma.gif" size="2599" user="GeorgSchepers" version="1.1" attr="" comment="Number of measured Cherenkov photons" date="1196957630" name="nphotonp.gif" path="nphotonp.gif" size="4140" user="GeorgSchepers" version="1.1" attr="" comment="Pathlength of a partice in the radiator of the barrel" date="1196957932" name="l.gif" path="l.gif" size="1960" user="GeorgSchepers" version="1.1" attr="" comment="Angle psi" date="1196958016" name="psi.gif" path="psi.gif" size="2848" user="GeorgSchepers" version="1.1" attr="" comment="Number of sigma in depndence of momentum and theta angle" date="1196958065" name="Full.gif" path="Full.gif" size="7072" user="GeorgSchepers" version="1.1"
Revision 2
30 Nov 2007 - Main.GeorgSchepers
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 META TOPICPARENT name="DircPlayground"

# ThreeDseparationplot

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## part of the DircPlayground

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part of the DircPlayground

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

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1. Momentum Dependence

The dependence of N(sigma) from the momentum p and the angle theta is calculated and displayed with Mathematia
Nsigma= (Kaon^2 - pion^2) / ((2 * p^2 * sigma/Sqrt[nph] * Sqrt[n^2 - 1]))
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* Separation power versus momentum:

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Plot
Separation power versus momentum: The plot represents the Numbers of sigmas two particles are separated depending on the mometum with
Line: 24 to 27

• refractiv index n=1.47

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2. Angle Dependence