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/docs/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


(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.

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:

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
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
goodtrackresolution.jpegjpeg goodtrackresolution.jpeg manage 30.5 K 14 Jan 2008 - 16:47 GeorgSchepers traqck resulution 10 mrad
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
pbarptophiphi_cutns.jpegjpeg pbarptophiphi_cutns.jpeg manage 48.8 K 11 Dec 2007 - 13:56 GeorgSchepers Cut momentum and theta angle and number of sigma larger 4
pbarptophiphi_cutptheta.jpegjpeg pbarptophiphi_cutptheta.jpeg manage 52.1 K 11 Dec 2007 - 13:55 GeorgSchepers Cut momentum and theta angle
ppbartophiphi.jpegjpeg ppbartophiphi.jpeg manage 63.8 K 11 Dec 2007 - 13:54 GeorgSchepers pbar p to phi phi
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
Topic revision: r12 - 15 Feb 2008, LarsSchmitt
 
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