Short summary of a SDD test experiment at PSI -...

Short summary of a SDD test experiment at PSI

4 Sep, 2006 S.Okada

We have measured energy spectra of fluorescence x-rays (Ti,Ni,Cu) induced by 300MeV/c pions and x-rays from 55Fe source simultaneously by a KETEK 100mm2 SDD used in KEK-PS E570.

Period : 14 - 18 Aug. 2006Place : πM1 beamline of the PSI ring cyclotron

K!-K" inconsistencyK"ピークが較正直線から数eVずれるFour points fit and definition of residual

TiKa1 TiKb NiKa1 NiKb ch

eV

TiKa1

TiKb

NiKa1

NiKb

residual

pionでK-shellに穴をあいたときに、一定の確率でL-shell, M-shellにも穴があいた影響と考えられる

27

1500 2000 2500 3000 3500

6000

8000

10000

12000

14000

16000

18000

20000

22000

Motivation• There is no data concerning the energy shifts of pion-induced

fluorescence x-rays due to satellite x-rays attributed to the direct multiple ionization by projectile pions (~480MeV/c).

➡ Since fluorescence x-rays induced by ~480MeV/c pions are used as a energy calibration in E570, we need to clarify whether the energy shift is large enough to be observable by our SDD or not.

• In our analysis of E570, we found ~5eV energy shifts of Kβ for both fluorescence x-rays of Ti and Ni when the energy scale was determined by Kα peaks of Ti and Ni.

Ti NiKα Kα

Kβ Kβ

Existing data of satellite x-rays induced by protonsK.W.Hill et.al. Phys. Rev. A 13 (1976) 1334

Percent of total Kα intensity

Average peak energy positionTitanium Ka x-ray spectra

Ratios of Ti KLn x-ray intensities to total K intensity for incident protons

* KLn denote the x-ray emitted when one K vacancy and n L vacancies exist.

Energy dependence

Energy shift of Kα x-rays induced by 4.0MeV protons can be estimated to be ~2eV.

(weighted average = 4511.0 eV)

Experiment• Aim :

Measurement of the absolute energies of fluorescence x-rays (Kα and Kβ) induced by ~300MeV/c pions

• Means :1) Measure the energy spectra of the pion-induced fluorescence x-rays

and well-known x-rays (from 55Fe) simultaneously

2) Measure the energy spectra of photon-induced fluorescence x-rays (with 57Co) and well-known x-rays (from 55Fe) simultaneously

➡ Make an energy scale by the photon-induced x-ray energy spectra

➡ Apply the energy scale to the pion-induced x-ray energy spectra

Setup (top view)

π- beam300MeV/c

SDD

light shielded

in vacuum

SDD

light shielded

in vacuum

for pion-induced x-ray for photon-induced x-ray

Ti & N

i foils

Ti & Ni foilswith 57Co

55Fe 55Fe

Setup (from upstream)

Beam on Beam off

57Co source rod

Ti & Ni foils

Foils

Foil folder(Ni : Ti = 1 : 4)

Ti & Ni foils

Ti

Ni

57Co folder

57Co souce

Ni foil

8mm

32m

m

55Fe source

55Fe

55Fe

Whole setupbeam

πM1 beamline 2006/08/18 08:15 PMhttp://aea.web.psi.ch/beam2lines/pim1a.html

ページ 1/1http://aea.web.psi.ch/beam2lines/pim1a.html

Fig 1 : Magneticelements in piM1 beam line

our setup

2006/08/18 08:14 PMBeam lines group at PSI

ページ 1/1http://aea.web.psi.ch/beam2lines/beam_pim1.html

piM1 beam linepiM1 is a high resolution pion beam line with a momentum range between 100 and 500 MeV/c. It is attached tothe target station TM at an extraction angle of 22°, which corresponds to the orientation of the target wheel.because of this , the spot where the pions are produced is horizontally as small as the target width of 2 mm.Together with the high dispersion of 7 cm/% and a magnification of 1 at the intermediate focus IF about halfway between the production target and the end of the beam line, a momentum resolution of better than 0.1 % isachieved. The pion momentum can be determined from the hits in a hodoscope made of 64 scintillators strips,located at the intermediate focus. The characteristics of the beam line are listed in the following table.

A layout of experimental area and of the magnetic components are shown in Fig 1 and Fig 2

Table 1 : Characteristics of the piM1 beam line

Total path length 21 m

Momentum range 100-500 MeV/c

Solide angle 6 msr

Momentum acceptance (FWHM) 2.9 %

Momentum resolution 0.1 %

Dispersion at focal plane 7 cm/%

Spot size on target (FWHM) 15 mm horizontal

10 mm vertical

Angular Divergence on target(FWHM) 35 mrad horizontal

75 mrad vertical

The beam line contains an electrostatic separator built at CERN ("2 m" type), which can reduce the protoncontamination in a pi+ beam from 400% to about 5% at 300 MeV/c momentum. Figure 3 gives the measuredparticle fluxes for the standard beam-line tune as a function of momentum with an uncertainty of 10% at thepeak of the yield curves. The flux of muons is 100 times smaller than the corresponding pion flux at momentaarround 300 MeV/c, and falls more slowly than for the pions toward low momenta. Since piM1 is the only beamline with a vacuum system separated from the proton-channel vacuum by a thin window, there are no "surface"muons available.

The coordinator for this beam line is D. Renker F. Foroughi .

2006/08/18 08:20 PMhttp://aea.web.psi.ch/beam2lines/pim1c.html

ページ 1/1http://aea.web.psi.ch/beam2lines/pim1c.html

Fig 3 : Pion an electron fluxes in piM1Fig 3 : Pion and electron fluxes in piM1

Fig 1 : Magnetic elements in iM1 beam line

Trigger logic (self trigger)

beam monitor

Run summary

run title beam foil / thickness source time

18 Cu production 300MeV/c π- 1.4mA Ti 100µm, Cu 100µm 55Fe - ~11 hours

19 Cu calib. - Cu 100µm (w/57Co) 55Fe 57Co ~5 hours

20 Ni calib. - Ni 125µm (w/57Co) 55Fe 57Co ~4 hours

22 Ni production 300MeV/c π- 1.4mA Ti 50µm, Ni 125µm 55Fe - ~11 hours


26 w/o 55Fe 300MeV/c π- 1.4mA Ti 50µm, Ni 125µm - - ~5 hours

27 w/o 55Fe calib. - Ni 125µm (w/57Co) - 57Co ~8 hours

Detailed run summary : http://ag.riken.jp/e570/doc/spix-runsummary.xls

beam condition : 1.4 mA (full) = 107 ~ 108 π- / sec

run18 (Cu production)

Entries 4793500

Mean 4951

RMS 2508

Underflow 0

Overflow 0

0 1000 2000 3000 4000 5000 6000 7000 8000

1

10

210

310

410

Entries 4793500

Mean 4951

RMS 2508

Underflow 0

Overflow 0

run18 all

Entries 4793500

Mean 4951

RMS 2508

Underflow 0

Overflow 0

0 1000 2000 3000 4000 5000 6000 7000 80000

50

100

150

200

250

300

350

400

450

500Entries 4793500

Mean 4951

RMS 2508

Underflow 0

Overflow 0

run18 all


18 Cu production 300MeV/c π- 1.4mA Ti 100µm, Cu 100µm 55Fe - ~11 hours

MnKαKβMnKαKβ escape

TiKαCuKαKβ

ZnKα

TiKα CuKαClKα

Entries 1527500

Mean 3600

RMS 1606

Underflow 0

Overflow 0

0 1000 2000 3000 4000 5000 6000 7000 8000

1

10

210

310

410 Entries 1527500

Mean 3600

RMS 1606

Underflow 0

Overflow 0

run19 all

Entries 1527500

Mean 3600

RMS 1606

Underflow 0

Overflow 0

0 1000 2000 3000 4000 5000 6000 7000 80000

10

20

30

40

50

60

70

80

90

100Entries 1527500

Mean 3600

RMS 1606

Underflow 0

Overflow 0

run19 all

run19 (Cu calib.)


19 Cu calib. - Cu 100µm (w/57Co) 55Fe 57Co ~5 hours


TiKαCuKαKβ

ZnKαClKα

TiKα CuKα

Entries 1255500

Mean 3485

RMS 1531

Underflow 0

Overflow 0

0 1000 2000 3000 4000 5000 6000 7000 8000

1

10

210

310

410

Entries 1255500

Mean 3485

RMS 1531

Underflow 0

Overflow 0

run20 all

Entries 1255500

Mean 3485

RMS 1531

Underflow 0

Overflow 0

0 1000 2000 3000 4000 5000 6000 7000 80000

20

40

60

80

100

120

140Entries 1255500

Mean 3485

RMS 1531

Underflow 0

Overflow 0

run20 all

run20 (Ni calib.)




NiKαKβ

ZnKαClKα

NiKα

Entries 5232500

Mean 5000

RMS 2526

Underflow 0

Overflow 0

0 1000 2000 3000 4000 5000 6000 7000 8000

1

10

210

310

410

Entries 5232500

Mean 5000

RMS 2526

Underflow 0

Overflow 0

run22 all

Entries 5232500

Mean 5000

RMS 2526

Underflow 0

Overflow 0

0 1000 2000 3000 4000 5000 6000 7000 80000

100

200

300

400

500

600

700Entries 5232500

Mean 5000

RMS 2526

Underflow 0

Overflow 0

run22 all

run22 (Ni production)


22 Ni production 300MeV/c π- 1.4mA Ti 50µm, Ni 125µm 55Fe - ~11 hours


TiKαNiKαKβ

ZnKαClKαTiKα

NiKα

Entries 2236500

Mean 3438

RMS 1490

Underflow 0

Overflow 0

0 1000 2000 3000 4000 5000 6000 7000 8000

1

10

210

310

410

Entries 2236500

Mean 3438

RMS 1490

Underflow 0

Overflow 0

run23 all

Entries 2236500

Mean 3438

RMS 1490

Underflow 0

Overflow 0

0 1000 2000 3000 4000 5000 6000 7000 80000

50

100

150

200

250

300Entries 2236500

Mean 3438

RMS 1490

Underflow 0

Overflow 0

run23 all

run23 (Ni calib.)




NiKαKβ

ZnKαClKα NiKα

Entries 1060500

Mean 7595

RMS 1542

Underflow 0

Overflow 0

0 1000 2000 3000 4000 5000 6000 7000 80001

10

210

Entries 1060500

Mean 7595

RMS 1542

Underflow 0

Overflow 0

run26 all

Entries 1060500

Mean 7595

RMS 1542

Underflow 0

Overflow 0

0 1000 2000 3000 4000 5000 6000 7000 80000

50

100

150

200

250

300Entries 1060500

Mean 7595

RMS 1542

Underflow 0

Overflow 0

run26 all

run26 (w/o 55Fe)


26 w/o 55Fe 300MeV/c π- 1.4mA Ti 50µm, Ni 125µm - - ~5 hours

FeKα

Fe contamination !

TiKαKβNiKαKβ

ZnKα

TiKα

NiKα

Rough fit : run 22 (all)

Entries 5232500

Mean 5000

RMS 2526

Underflow 0

Overflow 0

Channel

0 1000 2000 3000 4000 5000 6000 7000 8000

Co

un

ts

1

10

210

310

410

Entries 5232500

Mean 5000

RMS 2526

Underflow 0

Overflow 0

run22 all

•Ti Ka1Number of event : 2.5 * 104

Sigma : 72.3 eV➡ 72.3/sqrt(2.2*104) = 0.48 eV

•Ni Ka1Number of event : 2.9 * 104

Sigma : 85.2 eV➡ 85.2/sqrt(2.9*104) = 0.50 eV

Determination accuracy of center value of Ti & Ni Ka1 peak : ~0.5 eV

w/o gain adjustment

backup slides

For the fitting method, I referred to

‘‘Simulations of Si(Li) x-ray detector response’’,X-ray spectrom. 2001;30:230-241

Figure 1: Typically encountered line shape described in empirical terms.

Gaussian primary peak : G(i) = HG exp

[!(i ! i0)2

2!2

]

Shelf : S(i) =1

2HS erfc

(i ! i0!"

2

)

Truncated Shelf : TS(i) =1

2HTS

[

erfc

(i ! i0!"

2

)

! erfc

(i ! iT!"

2

)]

Exponential-like feature : D(i) =1

2HD exp

(i ! i0

"

)

# erfc

(i ! i0!"

2+

!

""

2

)

i : channel number

i0 : the centroid channel corresponding to the incident photon energy E0

iT : the inflection point of lower extremity of the truncated shelf is equivalent to energy0.4 E0 to 0.85 E0.

! : the standard deviation of the Gaussian component

" : the slope of the exponential feature

2

2006/08/18 08:14 PMBeam lines group at PSI

ページ 1/1http://aea.web.psi.ch/beam2lines/beam_pim1.html

piM1 beam linepiM1 is a high resolution pion beam line with a momentum range between 100 and 500 MeV/c. It is attached tothe target station TM at an extraction angle of 22°, which corresponds to the orientation of the target wheel.because of this , the spot where the pions are produced is horizontally as small as the target width of 2 mm.Together with the high dispersion of 7 cm/% and a magnification of 1 at the intermediate focus IF about halfway between the production target and the end of the beam line, a momentum resolution of better than 0.1 % isachieved. The pion momentum can be determined from the hits in a hodoscope made of 64 scintillators strips,located at the intermediate focus. The characteristics of the beam line are listed in the following table.

A layout of experimental area and of the magnetic components are shown in Fig 1 and Fig 2

Table 1 : Characteristics of the piM1 beam line

Total path length 21 m

Momentum range 100-500 MeV/c

Solide angle 6 msr

Momentum acceptance (FWHM) 2.9 %

Momentum resolution 0.1 %

Dispersion at focal plane 7 cm/%

Spot size on target (FWHM) 15 mm horizontal

10 mm vertical

Angular Divergence on target(FWHM) 35 mrad horizontal

75 mrad vertical

The beam line contains an electrostatic separator built at CERN ("2 m" type), which can reduce the protoncontamination in a pi+ beam from 400% to about 5% at 300 MeV/c momentum. Figure 3 gives the measuredparticle fluxes for the standard beam-line tune as a function of momentum with an uncertainty of 10% at thepeak of the yield curves. The flux of muons is 100 times smaller than the corresponding pion flux at momentaarround 300 MeV/c, and falls more slowly than for the pions toward low momenta. Since piM1 is the only beamline with a vacuum system separated from the proton-channel vacuum by a thin window, there are no "surface"muons available.

The coordinator for this beam line is D. Renker F. Foroughi .

Incident Kaon / Pion momentum calculation for E471 setup

Name Material Density Thickness Kaon Momentum Pion momentum

ini 655.0 MeV/c 655.0 MeV/c

WSD+Degrader C 1.91 g/cm3 14 cm 575.2 MeV/c 607.1 MeV/c

LC1 + LC2 Lucite 1.18 g/cm3 11 cm 527.8 MeV/c 582.2 MeV/c

T2 Scinti 1.032 g/cm3 2 cm 519.7 MeV/c 578.2 MeV/c

Degrader C 1.91 g/cm3 25 cm 246.0 MeV/c 492.0 MeV/c

T1 + T0 Scinti 1.032 g/cm3 3 cm 183.1 MeV/c 486.9 MeV/c

Cap Al 2.70 g/cm3 0.06 cm 179.3 MeV/c 486.7 MeV/c

Degrader C 1.91 g/cm3 0.3 cm 160.9 MeV/c 485.6 MeV/c

Radiation shield Al 2.70 g/cm3 0.02 cm 159.1 MeV/c 485.5 MeV/c

Target He4 0.145 g/cm3 15 cm [email protected] cm 481.2 MeV/c

(Momentum bite for incident momentum: Δp / p = +-2 % Δp = 26.2 MeV/c)

Expected pion momentum at target region : 481.2 MeV/c (+- 13 MeV/c mom. bite)(assuming incident pion momentum bite is also Δp / p = +-2 %)

mailto:[email protected]

mailto:[email protected]

Short summary of a SDD test experiment at PSI -...

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