# Presentation: 071732

## Simulations Report

- E. García, UIC

## Run 1 Geometry

- Radiator (water)
- 1cm x 2cm x 2cm
- with optical properties

- Sensitive Volume
- (hit collector)
- acrylic (with air optical properties)

- World
- optical air

## 1 GeV proton

- Cerenkov photons
- tracking, reflection and
- transition in radiator

- Hits collected in sensitive volume
- stored for further analysis.

## Run 1 properties of optical photons

-  Hits position in detector
-  Momentum angle at detector 44.850
-  Wave length distribution
-  562 out of 718 photons hit the detector

## Run 2

- 10 GeV pi-

- Radiator C4F10
- 2 x 2 m

- Detector

## Run 2 properties of optical photons

-  Hits position in detector
-  Momentum angle at   detector 3.130
-  Wave length distribution
-  911 photons produced 449 leave track in detector

## Does it make sense?

- KE (input) = 1 GeV proton (10 GeV pi-)
- E = KE + m0 = 1.938 GeV (10.139 GeV)
- p2 = E2 – m02 = 1.69582   (100.13892)
-  = p/E = 0.875 (0.999)
- cos = 1/n
- nW =1. 3435 --> W= 31.37o
- nC4F10 =  1.0015 --> Q= 3.02o
- Then take into account snell law’s from water (C4F10) to air
- W(at detector) = sin-1(1.3435*sin(31.37)) =  44.92o
- C4F10(at detector) = sin-1(1.0015*sin(3.02)) =  3.024o
- OK

## Run 3 ARich model 1 

- Mirror
-  Material quartz
-  Curvature radius (r) 1.2 m
-  Arc cut at r /10
-  Small absorption length

- Mirror
-  Material quartz
-  Curvature radius (r) 1.2 m
-  Arc cut at r /10
-  Small absorption length

- Mirror
-  Material quartz
-  Curvature radius (r) 1.2 m
-  Arc cut at r /10
-  Small absorption length

- Detector
-  Acrylic
-  Large interaction lenght
-  Non optical

- Radiator
-  C4F10 @ 1 atm and 24o c
-  60 x 90 x 90 cm

## Run 3 results

- 10 GeV pi-

- reflected photons

- hits collected in detector

- produced cerenkov photons: 117
- detected : 72

- hit position in detector

## Run 3 detector resolution

-  Particles were shot perpendicularly to the center of the detector (mirror)
- The points are the mean of a Gaussian fit to the distribution of optical photon angular position in the detector from 100 events, the error is the sigma of the fit

## Run 3 number of photons produced and detected

## Run 5  

- Run 5

- C5F12

- same geometry as
- Run 4

- Cut in energy of tracks of
- detectedphotons

- 10 GeV kaon : 100 events
- averaged number of cerenkov photons: 240
- average number of detected photon tracks
- with energy cut applied: 36

- wave length distribution of produced photons

- cut for detected photons

- hits in detector (100 events - no cuts)

## Run 5 Results

## Run 6: non zero incidence  angle

- incident angle 240, for this run
- initial position of the particle is at
- R (120 cm) at center of mirror

- tracks from photons in detector (100 events)

- Using the average position of the ring' s center in XY's detector plane,  the
- anglular distribution is generated

## Run 6 Results

- resolution for 24o  incidence

- The angle is the mean to the gaus fit to the angular
-  distributions and the error bar is the sigma of the fit

- resolution for scanned angles: mean  and sigma

- black 0o, red 5o, green 10o, blue 15o, pink 20o
- brown 24o

## Run 7 position scanning

- incident particle offset in X
- 50 cm off the center

- tracks of photons in detector
- (100 events)

- calculating the angle from the center
- does not work here, this looks more
- like ellipse than a circle
- (see next transparency)

## Run 7 results

- black 0 cm, red 10 cm, green 20 cm, blue 30 cm,
- pink 40 cm and brown 50 cm

- We may need different variable to resolve particles
- for example: the  minor axis of the
- ellipse

## Run 7: minor axis parameter

- minor axis

- The minor axis distribution (on the right) is generated by:
-  Finding the “center” point  (xo , yo)  (geometric mean of the 2D distribution)
-  Then within an interval (dX) around the xo calculating the distance |y- yo|
- The mean of the fit to the |y-yo| distribution is the minor axis, and the sigma of the fit the is the error.

- kaon 50 cm and 14 GeV
- 100 events

## Run 7 minor axis parameter results

- Using the minor axis parameter we have resolution for:
-  Within 50 cm up to 12 GeV
-  Within  40 cm up to 14 GeV
-  Within 30 cm up to  18 GeV

- Color scheme: black 0 cm, red 10 cm, green 20 cm, blue 30 cm,
- pink 40 cm and brown 50 cm

## Run 7 continuation

- Color scheme: black 0 cm, red 10 cm, green 20 cm, blue 30 cm,
- pink 40 cm and brown 50 cm

- These are 100 events for k and pions
- at 14 GeV, the kaons are for 50 cm position and the pions for 20 cm position. The minor axis can't resolve
- them, may be the positive mayor axis
- (pma) will resove better.

## Run 7 Positive minor axis parameter try

-  The resolution is actually worst with this parameter. A pattern recognition approach may be needed.
-  For the present studies we will fold back to the mayor axis parameter for the resolution and work on further aspects of the design.

## Run 7 Number of photon tracks

- Color scheme: black 0 cm, red 10 cm, green 20 cm, blue 30 cm,
- pink 40 cm and brown 50 cm

## Run 8 angular scan 2

- angular scan

- Photon tracks in detector for
- a 18 GeV kaon at 5 deg (brown)
- and for a 18 GeV pion at 3 deg
- (blue). One event, 56 photon tracks
- detected for kaon and 79 for pion

- Photon wavelength distribution for 18
- GeV and 5 deg. kaons (brown)  and 3 deg.
- pions (blue). The distributions are normalized
- to the number of events (100). No CsI QE
- effects simulated in this run

## Run 8 results

- Color scheme: black 0 deg, red 1 deg, green 2 deg, blue 3 deg,
- pink 4 deg and brown 5 deg

- Ellipsoide ring minor axis. The points are the
- mean of of the gaussian fit to 100 event distributions
- and the errors the sigma of the fit, using this parameter
- it is possible to resolve up to 16 GeV

- Average of the number of photon tracks detected.

## Run 9 variation of the distance of detector to mirror

- For this run the length of the detector is reduced,
- the dimensions of the mirror are the same, and the
- distance from the detector to the mirror is varied
- around the focal point (R/2 = 60 cm).
- The particle gun aims to the center of the detector

- Top: The average number of photons
- and averaged ring minor axis resolution for
- 100 events . Only cut in photon energy here
- no QE of CsI (25%) included in runs.
- Right: Photon tracks in detector for 33 GeV
- pion (blue), kaon (red) and proton (black)
- one event.
- The detector is at f = 60 cm and the gun
- aiming at the center of the mirror.

- x - xO (cm)

- y - yO (cm)

## Run 9   f = 55 cm

- f = 55 cm

- Right  top: the average ring minor axis resolution for
- 100 events with the detector at f = 55 cm .
- Right bottom : the average ring minor axis for f = 55cm
- (black) and for f = 60 cm = R/2  (green).
- Left bottom: photon tracks in the detector for proton
- at 33 GeV for f = 55 cm (black), and f = 60 cm (green).

## Run 9   f = 50 cm

- Right  top: the average ring minor axis resolution for
- 100 events with the detector at f = 50 cm .
- Right bottom : the average ring minor axis for f = 50cm
- (black) and for f = 60 cm = R/2  (green).
- Left bottom: photon tracks in the detector for proton
- at 33 GeV for f = 50 cm (black), and f = 60 cm (green).

- f = 50 cm

## Run 9   f = 65 cm

- Right  top: the average ring minor axis resolution for
- 100 events with the detector at f = 65 cm .
- Right bottom : the average ring minor axis for f = 65 cm
- (black) and for f = 60 cm = R/2  (green).
- Left bottom: photon tracks in the detector for proton
- at 33 GeV for f = 65 cm (black), and f = 60 cm (green).

- f = 65 cm

## Run 9   f = 70 cm

- Right  top: the average ring minor axis resolution for
- 100 events with the detector at f = 70 cm .
- Right bottom : the average ring minor axis for f = 70 cm
- (black) and for f = 60 cm = R/2  (green).
- Left bottom: photon tracks in the detector for proton
- at 33 GeV for f = 50 cm (black), and f = 70 cm (green).

- f = 70 cm

## Run 10 increase the radius of the mirror and tank (R = 180 cm)

- Left  top: the average number of photons
- tracks in detectors for 100 events
- Right bottom : the resulution using the
- average ring  minor axis
- Left bottom: the resulution using
-  the detected angle
- No CsI QE in simulation

## Run 11 horizontal scann for R = 180 cm geometry 

- This is one event for 18 GeV particles: proton at
- 0 cm (black) , pion at 20 cm (green) and kaon at 50 cm (brown). Top position, bottom normalized position (for comparison)

- Color scheme: black 0 cm, red 10 cm, green 20 cm,
- blue 30 cm,pink 40 cm and brown 50 cm. Bottom, zoom of top
- Resolution up to ~ 18 GeV within 50 cm

## Run 11 angular scann for R = 180 cm geometry 

- Run 11 angular scann for R = 180 cm geometry

- This is one event for 24 GeV particles: proton at
- 00 (black) , pion at 20 (green) and kaon at 50 (brown). Top position, bottom normalized position (for comparison)

- Color scheme: black 00, red 100, green 20,
- blue 30,pink 40  and brown 50. Bottom, zoom of top
- Resolution up to ~ 24 GeV within 50

## Run 12 QE of CsI effect on simulation (geometry R = 180 cm)

- Effect of QE on the spectra of the
- detected photons

-  QE of CsI detector

## Run 12  (R = 240 cm) CsI Q.E. simulated for this run 

- Momentum spectra of removed background (e+, e- and )

- Average number of photon tracks (top) and
- resolution (bottom)

## Run 12 angular and position scann for R = 240 cm geometry 

- Resolution plot, color scheme: black 00, red 100, green 20,
- blue 30,pink 40  and brown 50, aqua 60
- Resolution up to ~ 26 GeV within 60

- Resolution plot, color scheme: black 0 cm, red 10 cm, green 20 cm,
- blue 30 cm, pink 40 cm  and brown 50 cm, aqua 60 cm
- Resolution up to ~ 22 GeV within 60 cm

## Hexagonal mirror  

- Hexagonal mirror: curvature radius R = 240 cm. Hexagon
- radius r = 120 cm, apothem ~ 104 cm. Detector located at
- R/2

## Hexagonal mirror Array 

- Hexagonal array: 6 mirrors with curvature radius 240 cm, hexagon
- radius 120 cm, apothem ~ 104 cm. Detector located at half of the curvature
- radius  (120 cm)

- Front view of hexagonal array. R is tha path choosen for
- ths angular and position scanning

## Position scann

- Gun located at z = 5.5 m and perpendicular to mirror array. The distance to the center of the array then is changed along R:  black 0 cm, red 20 cm,
- green 40 cm, blue 60 cm, pink 80 cm,  brown 100 cm and aqua 120 cm. Right panel is a zoom of the left panel.
- Resolution up to ~ 24 GeV along all the surface of array

## Angular scann

- Gun located at z = 5.5 m at the center of mirror array. The partile gun direction is then changed to aim along R:  black 0 deg, red 3 deg,
- green 6 deg, blue 9 deg,  pink 12 deg and  brown 14 deg (edge of second mirror) . There seems to be an anomaly for 6 deg scanning, it seems
- to be due to the method used to find the minor axis.

## Patter recognition method update for “slated” scanning

- Image for 100 events, incident partilces kaons at 21 GeV.
- Gun psoition x = y = 0 (array plane), z = 5.5 m. Gun direction
- polar angle = 6 deg and azimuthal angle = 26 deg.
- Problem with patter recognition method: “minor axis”
-  calculated along Y direction, not along the 26 degree path

- 26 deg scanning path

- Image for 100 events, incident partilces kaons at 21 GeV.
- Gun psoition x = y = 0 (array plane), z = 5.5 m. Gun direction
- polar angle = 6 deg and azimuthal angle = 26 deg. Coordenates
- of image are rotated along the slanted scanning path.
- minor axis calculation now is acuarate

## Improved pattern recognition method Results

- Resolution (minor axis plot) using old and improved patter
- recognition method. Gun psoition x = y = 0 (array plane),
-  z = 5.5 m. Gun direction  polar angle = 6 deg and
- azimuthal angle = 26 deg.
- Coordenates of image for improved method are rotated along
- the slanted scanning path.

- Gun located at z = 5.5 m at the center of mirror array. The partile gun
- direction is then changed to aim along R:  black 0 deg, red 3 deg,
- green 6 deg, blue 9 deg,  pink 12 deg and  brown 14 deg
- (edge of second mirror) . Good resolution for all particles
- along the array up to ~ 24 GeV

## Individual ring images (one event)

- Bottom: 16 GeV pi (black), k (blue) p (brown)
- gun position R = 60 cm, direction
- phi = theta = 0 deg

- Top: 21 GeV pi (black), k (blue) p (brown)
- gun position R = 0 cm, direction
- phi = 25 deg,  theta = 14 deg

- Top: 16 GeV pi (black), k (blue) p (brown)
- gun position R = 0 cm, direction
- phi = theta = 0 deg

- Left: 18 GeV pi (black), k (blue) p (brown)
- gun position X= 60 cm, Y = 0 and
- direction phi = theta = 0 deg, photon tracks
- hit edge of 3 mirrors
- Right: 18 GeV pi (black), k (blue) p (brown)
- gun position X= 100 cm, Y = 0 and
- direction phi = theta = 0 deg, photon tracks
- hit edge of 2 mirrors

## Latest Geometries