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H.Tatsuno@20150930 KEK 1 KEK 2015930 X (KEK / NIST)


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H.Tatsuno@20150930 KEK測定器開発セミナー

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KEK測定器開発セミナー 2015年9月30日

荷電粒子ビーム環境における超伝導遷移端 X線検出器の性能評価

頭脳循環プロジェクト「超伝導検出器の原子核実験への応用」

竜野 秀行 (KEK / NIST)

High-resolution Exotic Atom x-ray spectroscopy with Transition-Edge Sensors

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H.Tatsuno@20150930 KEK測定器開発セミナー

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  • 1. Introduction
  • 2. (X-ray) Transition Edge Sensor
  • 3. Test experiment at PSI
  • 4. Analysis
  • 5. Summary and Outlook

Contents

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H.Tatsuno@20150930 KEK測定器開発セミナー

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Introduction

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H.Tatsuno@20150930 KEK測定器開発セミナー

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・QED test (µ-atoms) ・CPT symmetry (H, p-He) ・Proton radius (µ-H) ・Mass (p,π-,K-) ・Strong force (p,π-,K-)

K −

u s

p

uu d

strong force with strangeness

Exotic atom spectroscopy

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SLIDE 5

H.Tatsuno@20150930 KEK測定器開発セミナー

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“強い力の漸近的自由性” 高エネルギーで強い相互作用は弱くなる

  • S. Bethke / Progress in Particle and Nuclear Physics 58 (2007) 351–386

低エネルギーでは相互作用が強 くなり計算は難しい エキゾチック原子はほぼ静止系 での強い相互作用を研究できる → 低エネルギーQCDの理解

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H.Tatsuno@20150930 KEK測定器開発セミナー

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e−

beam stop

K−

Nucleus

Coulomb capture

n∗ ∼ ne

  • m∗

K

me

n*~30 for 4He

mK* reduced kaon mass

・highly excited states ・~103 times reduced mass ・keV order energy levels

Kaonic atoms

me = 0.511 MeV mα = 3727.4 MeV mK = 493.7 MeV

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H.Tatsuno@20150930 KEK測定器開発セミナー

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K−

Nucleus

Auger

Kaonic atoms

X-ray

Cascade down (de-excitation)

・nuclear absorption ・shift and width ・Auger & radiative

Strong interaction

Coulomb + Strong

Coulomb only

X-ray detector ΔE: shift Γ: width ・time scale ~ ps

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H.Tatsuno@20150930 KEK測定器開発セミナー

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K− p Λ(1405)

KN Interaction

Γ1s ~ 500 eV ΔE1s ~ 300 eV

Kaonic Hydrogen

M.Bazzi et al., Phys. Lett. B 704, 113 (2012)

  • T. Yamazaki, Y. Akaishi / Physics Letters B 535 (2002) 70–76

Deser-Truemanの式

∆E1s + iΓ1s 2 = 2α3µ2aK−p

scattering length

high-dense matter

3 quarks (uds)? meson - baryon?

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H.Tatsuno@20150930 KEK測定器開発セミナー

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  • 2. Chiral unitary model
  • 1. Phenomenological approach

Theories: two approaches ‘deep potential’ ‘shallow potential’

  • pen

question!

pp K− K−

4He

pp K− n K−

3He

K-nucleus Interaction

  • 1. C.J. Batty, E. Friedman, and A. Gal, Phys. Rep. 287, 385 (1997)
  • 2. S. Hirenzaki, Y. Okumura, H. Toki, E. Oset, A. Ramos, Phys. Rev. C 61, 055205 (2000)

Kaonic Helium K-nucleus cluster

deep shallow nuclear bound state?

radius

K-nucleus potential

atomic state

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H.Tatsuno@20150930 KEK測定器開発セミナー

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K-He Strong Interaction Shift (Theory)

deep shallow

Phenomenological

Vopt(r=0) ~ - (180 + 73i) MeV

Chiral unitary

Vopt(r=0) ~ - (40 + 55i) MeV

K-4He 3d-2p (6.4 keV)

  • 0.41 eV
  • 0.09 eV

K-3He 3d-2p (6.2 keV) 0.23 eV

  • 0.10 eV

Isotope shift (K-4He - K-3He)

  • 0.64 eV

0.01 eV

A recent theoretical calculation

  • J. Yamagata-Sekihara and S. Hirenzaki :

— Strong-interaction Shift & Width calc.

  • E. Hiyama :

— Charge-density dist calc. for 4He&3He

two typical models : [Pheno.] Mares, Friedman, Gal, NPA770(06)84 [Chiral] Ramos, Oset, NPA671(00)481

preliminary

Width : 2 ~ 4 eV

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H.Tatsuno@20150930 KEK測定器開発セミナー

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K-He Strong Interaction Shift (Theory)

deep shallow

Phenomenological

Vopt(r=0) ~ - (180 + 73i) MeV

Chiral unitary

Vopt(r=0) ~ - (40 + 55i) MeV

K-4He 3d-2p (6.4 keV)

  • 0.41 eV
  • 0.09 eV

K-3He 3d-2p (6.2 keV) 0.23 eV

  • 0.10 eV

Isotope shift (K-4He - K-3He)

  • 0.64 eV

0.01 eV

A recent theoretical calculation

  • J. Yamagata-Sekihara and S. Hirenzaki :

— Strong-interaction Shift & Width calc.

  • E. Hiyama :

— Charge-density dist calc. for 4He&3He

two typical models : [Pheno.] Mares, Friedman, Gal, NPA770(06)84 [Chiral] Ramos, Oset, NPA671(00)481

preliminary

Width : 2 ~ 4 eV Dominant systematic uncertainty (~0.15 eV) due to kaon-mass uncertainty will be cancelled.

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H.Tatsuno@20150930 KEK測定器開発セミナー

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2p Level Shift [eV]

20 10

  • 10
  • 20

E1 E2 E3

@KEK-PS (Japan) @DAΦNE (Italy)

Publication year

: K - He

3

: K - He

4

  • 2

6 2 7 2 8 2 9 2 1 2 1 1 2 1 2

. . .

K-He Strong Interaction Shift

Detector: SDD ΔE2p [eV]

M.Bazzi et al., Phys. Lett. B 697, 199 (2011) M.Bazzi et al., Phys. Lett. B 681, 310 (2009) S.Okada et al., Phys. Lett. B 653, 387 (2007)

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H.Tatsuno@20150930 KEK測定器開発セミナー

2 − 1.5 − 1 − 0.5 − 0.5 1 1.5 2

13

2p Level Shift [eV]

20 10

  • 10
  • 20

E1 E2 E3

@KEK-PS (Japan) @DAΦNE (Italy)

Publication year

: K - He

3

: K - He

4

  • 2

6 2 7 2 8 2 9 2 1 2 1 1 2 1 2

. . .

K-He Strong Interaction Shift

SDD ±2 eV

Isotop shift (K4He - K3He) [eV]

Phen Chiral ΔE2p [eV]

preliminary

M.Bazzi et al., Phys. Lett. B 697, 199 (2011) M.Bazzi et al., Phys. Lett. B 681, 310 (2009) S.Okada et al., Phys. Lett. B 653, 387 (2007)

Detector: SDD

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H.Tatsuno@20150930 KEK測定器開発セミナー

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2p Level Shift [eV]

20 10

  • 10
  • 20

E1 E2 E3

@KEK-PS (Japan) @DAΦNE (Italy)

Publication year

: K - He

3

: K - He

4

  • 2

6 2 7 2 8 2 9 2 1 2 1 1 2 1 2

. . .

TES ±0.2 eV

K-He Strong Interaction Shift

SDD ±2 eV

Isotop shift (K4He - K3He) [eV]

Phen Chiral Goal ΔE2p [eV]

preliminary

New measurement technique !

M.Bazzi et al., Phys. Lett. B 697, 199 (2011) M.Bazzi et al., Phys. Lett. B 681, 310 (2009) S.Okada et al., Phys. Lett. B 653, 387 (2007)

J-PARC E62

Detector: SDD

2 − 1.5 − 1 − 0.5 − 0.5 1 1.5 2

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H.Tatsuno@20150930 KEK測定器開発セミナー

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Transition Edge Sensor

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H.Tatsuno@20150930 KEK測定器開発セミナー

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normal conducting sate super- conducting sate Temperature Resistance ~ 100 mK Width of transition edge ΔE~ a few mK

  • -> developed by Stanford / NIST at the beginning

Ener Thermometer sensitivity

Absorber Heat capacity : C Thermal conductance : G Low temperature heat sink

~ pJ/K ~ nW/K

Thermometer

T

X-ray energy : E

TES and electro-thermal feedback

Ib Rsh

L

SQUID Readout

吸収体 Bi

T2 C2 T1 C1 Tb

Si3N4

Si

G2 G1

SQUID

ΔT bias point R0/RN~0.2 RN

TES

τrise~L/(Rsh+R0)

R0

τfall~C/G

∝E/C

α = d log R d log T

a few mK

super- conducting state normal- conducting state

∆E = 2.355 r kBT 2C α

Emax ∝ C α

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SLIDE 17

TES TES TES TES TES TES

Out M Feedback M Out 2

TES TES TES

Out 1 Feedback 1 I2(t) IN(t) I1(t)

Detector Bias

SQUID Bias Feedback 2 time I1(t) time I2(t) time IN(t) Boxcar Modulation Functions

RSH RSH RSH RSH RSH RSH RSH RSH RSH RA RA RA RA RA RA RA RA RA RA RA

Time Division Multiplexing (TDM)

K.D. Irwin and G.C. Hilton, Cryogenic Particle Detection

column row trow=320ns 30 rows tflame=9.6μs

time

9.6μs

electrical cross talk in a column

17

1ch

8 columns

SQUID noise √Nrow

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H.Tatsuno@20150930 KEK測定器開発セミナー

NIST TES system

8

J.N. Ullom et al., Synchrotron Radiation News, Vol. 27, 24 (2014)

Bi + TES Au coated Si collimator

33 cm

1cm

Photo credit : J. Uhlig

  • NIST designed cryostat
  • Pulse tube (60K,3K) + ADR (1K, 50mK)
  • ADR hold time: > 1 day
  • Manufactured by High Precision Devices, Inc. 


http://www.hpd-online.com/102_cryostat.php

  • Detector snout
  • 240 pixel Mo-Cu bilayer TES


30 ch TDM(time division multiplexing) readout

  • 1 pixel : 300 x 320 um
  • 4 um Bi absorber → efficiency ~0.85@6 keV, ~0.4@10 keV

18

TES Spectrometer

Cryostat ・Pulse tube (50K, 3K) + ADR (1K, 50mK) ・Temp regulation (75mK) hold time 36 hours ・Manufactured by HPD, designed at NIST TES array ・240 pixel Mo-Cu bilayer TES ・4-µm thick Bi absorber → 85% efficiency at 6 keV ・pixel area: 305 µm x 320 µm → total 23mm2

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SLIDE 19

salt pills 1K and 50mK stages

GGG FAA GGG

Gadolinium-Gallium Garnet ~600mK Ferric- Ammonium Alum ~40mK

NbTi magnet coil (9A, 4T)

19

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Experiment

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H.Tatsuno@20150930 KEK測定器開発セミナー

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How to measure?

π-/K- beam

~ ~

Target

scattered charged particles

Degrader

NIST designed 240-pixel TES array (Mo-Cu bilayer, 4 μm Bi absorber)

1 pixel 320um x 300um, total ~23 mm2

Photos by D.R. Schmidt (NIST)

8 x 30 ch TDM chips

TES current (abr.)

slow down

4 2

  • 2

6

Time [ms]

  • 6cm
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H.Tatsuno@20150930 KEK測定器開発セミナー

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How to measure?

π-/K- beam

~ ~

Target

scattered charged particles

Degrader

  • Q1. Can the TES work in the charged-particle environment ?
  • Q2. How looks the X-ray pulse with charged particle hit?

Test experiment at a pion beam line of Paul Scherrer Institute (Switzerland)

  • Q3. Can achieve the 0.2 eV precision ?

NIST designed 240-pixel TES array (Mo-Cu bilayer, 4 μm Bi absorber)

1 pixel 320um x 300um, total ~23 mm2

Photos by D.R. Schmidt (NIST)

8 x 30 ch TDM chips

TES current (abr.)

slow down

4 2

  • 2

6

Time [ms]

  • 6cm
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H.Tatsuno@20150930 KEK測定器開発セミナー

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Feasibility test at the PSI πM1 beam line

!"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~

BC1 BC2 BC4 Carbon moderator Lead collimator π beam ~170 MeV/c TES array Carbon target X-ray tube

Overhead view

BC3 Lead shield

6cm

ADR cryostat

Beam intensity monitor

✓ TES in-beam performance study ✓ measured πC 4-3 transition x-rays ~6.4 keV ✓ in-situ energy calibration (Cr and Co fluorescence)

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H.Tatsuno@20150930 KEK測定器開発セミナー

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Measurement at the πM1 beam line of PSI

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Measurement at the πM1 beam line of PSI

Cryostat Beam Electronics Target

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H.Tatsuno@20150930 KEK測定器開発セミナー

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  • T. Hashimoto@JPS 70th annual meeting

Frequency (Hz)

2

10

3

10

4

10

/ Hz)

2

PSD (Counts

3 −

10

2 −

10

1 −

10

Noise Noise

Pulse Analysis

9

“Optimal filtering”

Time past trigger (ms)

2 − 1 − 1 2 3 4 5 6 7

Normalized pulse height

0.0 0.2 0.4 0.6 0.8 1.0

Average pulse Average pulse Time past trigger (ms)

2 − 1 − 1 2 3 4 5 6 7 0.03 − 0.02 − 0.01 − 0.00 − 0.01 0.02

Optimal Filter Optimal Filter

Sample #

250 252 254 256 258 260 262 264

Pulse Height

1000 2000 3000 4000 5000 6000 7000 8000

Lag [sample #]

2.0 − 1.5 − 1.0 − 0.5 − 0.0 0.5 1.0 1.5 2.0

Pulse Height

13280 13300 13320 13340 13360 13380 13400

This filtering is equivalent to fitting for pulse height and timing lag. Average pulse 1024 samples Noise PSD Filter to convolute with data + autocorrelation 320 ns x 30 ch =9.6 us

lag= -2 lag= -1 lag= 2 lag= 1 filtering result

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Energy [eV] 6000 7000 8000 9000 10000 11000 12000 ) [eV] σ FWHM (2.355 4 6 8 10 12 14

■ beam 1.45 MHz

  • beam off

▲ beam 2.8 MHz

CrKa FeKa GaKa GeKa AsKa SeKa BrKa CoKa

Energy dependence of energy resolution

CuKa MnKa max. dynamic range ~14 keV

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Energy [keV] 5 6 7 8 105 104 103 102 10 1 Counts / 1 eV FeKα CrKα CrKβ CoKα CoKβ CuKα

Energy calibration lines

πC 4-3 position

X-ray energy [eV]

5500 6000 6500 7000 7500

Pulse height

13000 14000 15000 16000 17000 18000

cubic spline interpolation ch 3

FeKα each pixel FeKα (from stainless steal): useful to verify the energy calibration

CoKα CrKα CrKβ CoKβ

Beam off

✓ ΔEFWHM ~ 5 eV (beam off) at 6.4 keV

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H.Tatsuno@20150930 KEK測定器開発セミナー

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Analysis to achieve the 0.1 eV systematic uncertainty

  • 1. low-E tail of response function
  • 2. thermal crosstalk due to charged particle hits
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H.Tatsuno@20150930 KEK測定器開発セミナー

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Energy [eV] 6840 6860 6880 6900 6920 6940 6960 6980 7000 Counts / 1 eV 2000 4000 6000 8000 10000 12000 14000 16000 18000 20000

Co Kα1,2 peaks (beam off)

Co Kα1 Co Kα2

Fit line with CoKa complex FWHM 6.1 eV

Co Kα calibration lines

Red: simple fit with Voigt profiles (Hölzer fit)

Hölzer et al., PRA 56 (1997) 4554

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Energy [eV] 6840 6860 6880 6900 6920 6940 6960 6980 7000 Counts / 1 eV

2

10

3

10

4

10

Lorentzians Δ Energy -0.5 eV

・Peak location shift = −0.5 eV

LE tail

What creates the LE tail ? Thermally evaporated Bi absorber

・Bi grains structure ? ・Heat trapping in lattice ?

Energy [eV] 6840 6860 6880 6900 6920 6940 6960 6980 7000 Counts / 1 eV 2000 4000 6000 8000 10000 12000 14000 16000 18000 20000

Co Kα1,2 peaks (beam off)

Co Kα1 Co Kα2

Fit line with CoKa complex FWHM 6.1 eV

Co Kα calibration lines

Red: simple fit with Voigt profiles (Hölzer fit)

Hölzer et al., PRA 56 (1997) 4554

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Energy [eV] 6840 6860 6880 6900 6920 6940 6960 6980 7000

Fit residual

800 − 600 − 400 − 200 − 200 400 600 800

Energy [eV] 6840 6860 6880 6900 6920 6940 6960 6980 7000 Counts / 1 eV

2

10

3

10

4

10

Fit residual and ±3σ lines fit line with LE tail (16.7%)

Co Kα1 Co Kα2

with LE tail ・<ΔEFWHM> = 5.2 eV ・LE tail fraction = 16.7% ・LE tail slope β = 28.6 eV

Empirical fit of low-energy tail

exponential tail

= convolution Exp*Gauss

A exp ✓E − E0 β ◆ Erfc ✓E − E0 √ 2σ + σ √ 2β ◆

LETail (E, σ, β) =

w/o LE tail ・Energy shift = −0.5 eV ・<ΔEFWHM> = 6.1 eV

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H.Tatsuno@20150930 KEK測定器開発セミナー

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Energy [eV] 6000 7000 8000 9000 10000 11000 12000 Low-energy tail fraction 0.12 0.14 0.16 0.18 0.2 0.22 0.24 0.26 0.28 0.3

CrKa FeKa GaKa GeKa AsKa SeKa BrKa CoKa CuKa MnKa

Energy dependence of the LE tail fraction

E Peak shift ・Peak location shift affects the E scale w/o LE tail

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Energy [eV] 6000 7000 8000 9000 10000 11000 12000 Low-energy tail fraction 0.12 0.14 0.16 0.18 0.2 0.22 0.24 0.26 0.28 0.3

CrKa FeKa GaKa GeKa AsKa SeKa BrKa CoKa CuKa MnKa

Energy dependence of the LE tail fraction

Estimate the LE tail fraction for pionic atom X-rays

π-C 4-3

→ reduce the systematic uncertainty

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H.Tatsuno@20150930 KEK測定器開発セミナー

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0.2 − 0.2 0.4 0.6 0.8 1 3 4 5 6 7 8 9 10 11 12

Energy [eV] 6840 6860 6880 6900 6920 6940 6960 6980 7000 Normalized

5 −

10

4 −

10

3 −

10

2 −

10

1 −

10

Co Kα1 Co Kα2 LE tail HE tail

beam 1.45 MHz beam off beam 2.8 MHz

・What degrades ΔE ? ・What causes the low-E and high-E tails ?

Co Kα calibration lines (beam ON)

Thermal crosstalk due to the charged particle hits

ΔEFWHM [eV]

beam off 1.45 MHz 2.8 MHz Charged particle hit rate Hz/pixel

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Position Y [mm]

2 4

  • 4
  • 2

Triggered pules (Mn X-rays + beam)

Thermal crosstalk due to charged particle hits

Time [ms]

  • 1

1 2

  • 2

Mn X-ray pulse height

zoom

3

  • 3

TES current (abr.) TES current (abr.)

  • 1

1 2

  • 2

3

  • 3

Position X [mm]

2 4

  • 4
  • 2
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Position Y [mm]

2 4

  • 4
  • 2

Triggered pules (Mn X-rays + beam)

small pulses (far from the cluster)

Thermal crosstalk due to charged particle hits

same timing pulses (cluster)

Time [ms]

  • 1

1 2

  • 2

zoom

3

  • 3

TES current (abr.) TES current (abr.)

  • 1

1 2

  • 2

3

  • 3

Position X [mm]

2 4

  • 4
  • 2

cluster events

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H.Tatsuno@20150930 KEK測定器開発セミナー

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Position Y [mm]

2 4

  • 4
  • 2

Triggered pules (Mn X-rays + beam)

small pulses

Thermal crosstalk due to charged particle hits

same timing pulses (cluster)

Time [ms]

  • 1

1 2

  • 2

Mn X-ray pulse height

zoom

3

  • 3

TES current (abr.) TES current (abr.)

  • 1

1 2

  • 2

3

  • 3

Position X [mm]

2 4

  • 4
  • 2

275µm Si substrate High energy particle ~100 keV

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H.Tatsuno@20150930 KEK測定器開発セミナー

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Thermal crosstalk due to charged particle hits

Heat transport time in Si : ~µsec

diffused & attenuated

Pulse height of cluster events (data) Thermal diffusion calculation

Simple diffusion calculation in Si High-E particle

~100 keV

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Thermal crosstalk due to charged particle hits

Heat transport time in Si : ~µsec

diffused & attenuated

Pulse height of cluster events (data) Thermal diffusion calculation

Simple diffusion calculation in Si High-E particle

~100 keV

・large xtalk pulses: yes ・small xtalk pulses: cannot cut → degrade ΔE ・if xtalk coincident with X-ray, cannot cut → high-E tail

Time [ms]

4 6

  • 2

2

TES current (abr.)

Can cut the xtalk events ?

These small thermal crosstalk create “second pulses”

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H.Tatsuno@20150930 KEK測定器開発セミナー

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Energy [eV] 6840 6860 6880 6900 6920 6940 6960 6980 7000 Counts / 1 eV 0.005 0.01 0.015 0.02 0.025 0.03

Cut of thermal crosstalk piled-up events

CoKα CoKβ CrKα CrKβ CoKα

Normalized Corrected pulse area

1 2 3 1 2 3 CoKα

(Pulse area - baseline) / nSamples

  • 1. pileup in post trigger timing
  • 3. pileup in pre trigger timing

6% 4% 90%

~6% low-E component contains high-E component baseline shift, gain shift,

Filtered pulse height Energy [eV] Energy [eV]

  • 2. remains ~90% of events

energy dependent slope

reject reject

(logZ)

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Energy [eV] 6840 6860 6880 6900 6920 6940 6960 6980 7000 Normalized

5 −

10

4 −

10

3 −

10

2 −

10

1 −

10 Energy [eV] 6840 6860 6880 6900 6920 6940 6960 6980 7000 Normalized

5 −

10

4 −

10

3 −

10

2 −

10

1 −

10

Co Kα1 Co Kα2

beam 1.45 MHz beam off beam 2.8 MHz

with correlation cut

Fit for 1.45 MHz beam data ・<ΔEFWHM> = 7.1 eV ・LE tail fraction = 23.1% ・HE tail fraction = 9.1%

with cut

suppressed the LE tail

Cut of thermal crosstalk pileup events

・<ΔEFWHM> = 6.9 eV ・LE tail fraction = 17.3% ・HE tail fraction = 8.3%

・suppressed the LE tail ・slightly improved ΔE

Fit with the correlation cut

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πC 4-3 X rays

10

π-atom peak with clear timing correlation

FWHM ~ 7 eV

Preliminary

✓ Excellent energy resolution even in the hadron beam ✓ Good timing resolution comparable with SDDs ✓ Accurate energy calibration
 using Cr&Co lines ✓ piC x-ray energies
 agree with EM calc.

5 eV (beam off)→7 eV (beam on) [FWHM@ 6.4 keV] < 0.1 eV accuracy @ FeKa

πC 4→3 x-ray measurement with TESs

✓ ΔEFWHM ~ 7eV (beam on) at 6.4 keV ✓ ΔtFWHM =1.2 µs ✓ FeKα energy uncertainty ±0.04 eV ✓ πC 4f-3d syst uncertainty~ ±0.1 eV

Fe Kα fluorescence (stainless steel) excited by x-ray tube

preliminary

TESs work!!

slide-44
SLIDE 44

H.Tatsuno@20150930 KEK測定器開発セミナー

44 Energy [eV] 6340 6360 6380 6400 6420 6440 6460 Counts / 1 eV 50 100 150 200 250 300 350

Pionic Carbon X-rays

・Data taking 13.5 hours ・Beam (π- & e-) 1.45 MHz ・Calib. X-ray 4.4 Hz/pixel ・Beam hit (pixel) 0.4 Hz/pixel ・Beam hit (array) ~400 Hz/cm2 ・Temp regulated 75mK ±7µK

FeKα1 FeKα2 πC 4f-3d

πC 4d-3p ・<ΔEFWHM> (beam off) = 4.7 eV at FeKα ・<ΔEFWHM> (beam on) = 6.8 eV at FeKα

209 pixels FWHM 6.8 eV

・Energy uncertainty (πC 4f-3d) = ±0.13 (stat) ±0.09 (syst) eV

The dominant uncertainty source is the background (tail of FeKα) ±0.07 eV Energy calibrated with Cr and Co lines

slide-45
SLIDE 45

H.Tatsuno@20150930 KEK測定器開発セミナー

45 Energy [eV] 6340 6360 6380 6400 6420 6440 6460 Counts / 1 eV 50 100 150 200 250 300 350

Pionic Carbon X-rays

・Data taking 13.5 hours ・Beam (π- & e-) 1.45 MHz ・Calib. X-ray 4.4 Hz/pixel ・Beam hit (pixel) 0.4 Hz/pixel ・Beam hit (array) ~400 Hz/cm2 ・Temp regulated 75mK ±7µK

FeKα1 FeKα2 πC 4f-3d

πC 4d-3p ・<ΔEFWHM> (beam off) = 4.7 eV at FeKα ・<ΔEFWHM> (beam on) = 6.8 eV at FeKα

209 pixels FWHM 6.8 eV

Energy calibrated with Cr and Co lines E-calib accuracy ±0.04 eV

・Energy uncertainty (πC 4f-3d) = ±0.13 (stat) ±0.09 (syst) eV

The dominant uncertainty source is the background (tail of FeKα) ±0.07 eV

slide-46
SLIDE 46

H.Tatsuno@20150930 KEK測定器開発セミナー

46 Energy [eV] 6340 6360 6380 6400 6420 6440 6460 Counts / 1 eV 50 100 150 200 250 300 350

Pionic Carbon X-rays

・Data taking 13.5 hours ・Beam (π- & e-) 1.45 MHz ・Calib. X-ray 4.4 Hz/pixel ・Beam hit (pixel) 0.4 Hz/pixel ・Beam hit (array) ~400 Hz/cm2 ・Temp regulated 75mK ±7µK

FeKα1 FeKα2 πC 4f-3d

πC 4d-3p ・<ΔEFWHM> (beam off) = 4.7 eV at FeKα ・<ΔEFWHM> (beam on) = 6.8 eV at FeKα

209 pixels FWHM 6.8 eV

・Energy uncertainty (πC 4f-3d) = ±0.13 (stat) ±0.09 (syst) eV

The dominant uncertainty source is the background (tail of FeKα) ±0.07 eV Energy calibrated with Cr and Co lines

slide-47
SLIDE 47

H.Tatsuno@20150930 KEK測定器開発セミナー

47 Energy [eV] 6340 6360 6380 6400 6420 6440 6460 Counts / 1 eV 50 100 150 200 250 300 350

Pionic Carbon X-rays

FeKα1 FeKα2 πC 4f-3d

πC 4d-3p ・<ΔEFWHM> (beam off) = 4.7 eV at FeKα ・<ΔEFWHM> (beam on) = 6.8 eV at FeKα

209 pixels FWHM 6.8 eV

The TESs work well ! Achieved the precision goal !!

Energy calibrated with Cr and Co lines

・Data taking 13.5 hours ・Beam (π- & e-) 1.45 MHz ・Calib. X-ray 4.4 Hz/pixel ・Beam hit (pixel) 0.4 Hz/pixel ・Beam hit (array) ~400 Hz/cm2 ・Temp regulated 75mK ±7µK ・Energy uncertainty (πC 4f-3d) = ±0.13 (stat) ±0.09 (syst) eV

The dominant uncertainty source is the background (tail of FeKα) ±0.07 eV

slide-48
SLIDE 48

H.Tatsuno@20150930 KEK測定器開発セミナー

48 Energy [eV] 6340 6360 6380 6400 6420 6440 6460 Counts / 1 eV 50 100 150 200 250 300 350

Pionic Carbon X-rays

FeKα1 FeKα2 πC 4f-3d

πC 4d-3p ・<ΔEFWHM> (beam off) = 4.7 eV at FeKα ・<ΔEFWHM> (beam on) = 6.8 eV at FeKα

209 pixels FWHM 6.8 eV

The TESs work well ! Achieved the precision goal !!

Energy calibrated with Cr and Co lines

・Data taking 13.5 hours ・Beam (π- & e-) 1.45 MHz ・Calib. X-ray 4.4 Hz/pixel ・Beam hit (pixel) 0.4 Hz/pixel ・Beam hit (array) ~400 Hz/cm2 ・Temp regulated 75mK ±7µK ・Energy uncertainty (πC 4f-3d) = ±0.13 (stat) ±0.09 (syst) eV

The dominant uncertainty source is the background (tail of FeKα) ±0.07 eV

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SLIDE 49

H.Tatsuno@20150930 KEK測定器開発セミナー

49

J-PARC E62 experiment K- 3He and 4He

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SLIDE 50

H.Tatsuno@20150930 KEK測定器開発セミナー

50

∗Spokesperson †Co-spokesperson ‡Co-spokesperson

J-PARC E62 Collaboration

  • M. Bazzia, D.A. Bennettb, C. Beruccic, D. Bosnard, C. Curceanua, W.B. Dorieseb,

J.W. Fowlerb, H. Fujiokae, C. Guaraldoa, F. Parnefjord Gustafssonf, T. Hashimotog, R.S. Hayanoh∗, J.P. Hays-Wehleb, G.C. Hiltonb, T. Hiraiwai, M. Iioj, M. Iliescua,

  • S. Ishimotoj, K. Itahashig, M. Iwasakig,l, Y. Mag, H. Noumii, G.C. O’Neilb, H. Ohnishig,
  • S. Okadag†, H. Outag‡, K. Piscicchiaa, C.D. Reintsemab, Y. Sadai, F. Sakumag,
  • M. Satog, D.R. Schmidtb, A. Scordoa, M. Sekimotoj, H. Shia, D. Sirghia, F. Sirghia,
  • K. Suzukic, D.S. Swetzb, K. Tanidak, H. Tatsunob,i, M. Tokudal, J. Uhligf,

J.N. Ullomb,m, S. Yamadan, T. Yamazakih, and J. Zmeskalc

a Laboratori Nazionali di Frascati dell’ INFN, Frascati, RM, I-00044, Italy b National Institute of Standards and Technology (NIST), Boulder, CO, 80303, USA c Stefan-Meyer-Institut f¨

ur subatomare Physik, Vienna, A-1090, Austria

d Department of Physics, University of Zagreb, Zagreb, HR-10000, Croatia e Department of Physics, Kyoto University, Kyoto, 606-8502, Japan f Department of Chemical Physics, Lund University, Lund, 221 00, Sweden g RIKEN Nishina Center, RIKEN, Wako, 351-0198, Japan h Department of Physics, The University of Tokyo, Tokyo, 113-0033, Japan i Research Center for Nuclear Physics (RCNP), Osaka University, Osaka, 567-0047, Japan j High Energy Accelerator Research Organization (KEK), Tsukuba, 305-0801, Japan k Japan Atomic Energy Agency (JAEA), Tokai, 319-1184, Japan l Department of Physics, Tokyo Institute of Technology, Tokyo, 152-8551, Japan m Department of Physics, University of Colorado at Boulder, Boulder, CO, 80309-0390, USA n Department of Physics, Tokyo Metropolitan University, Tokyo, 192-0397, Japan

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SLIDE 51

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51

Experimental setup at J-PARC K1.8BR

K- beam

existing target system for Liq. Helium 3 & 4

(used for K-pp search, E15 expt.)

stop K- in a target

NIST TES system Kaon beam detectors

J-PARC E62 setup at K1.8BR beam line

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SLIDE 52

H.Tatsuno@20150930 KEK測定器開発セミナー

52

beam off 1.45 MHz 2.8 MHz

Estimated energy resolution at J-PARC K1.8BR

J-PARC K1.8BR

PSIπM1

simulation

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SLIDE 53

H.Tatsuno@20150930 KEK測定器開発セミナー

53

TES operation in the J-PARC kaon beam

12

Energy (eV)

2000 4000 6000 8000 10000

Counts / 1 eV

50 100 150 200 250 300

Data MC(all) beam)

  • π

MC( beam)

  • µ

MC( beam)

  • MC(e

absorption)

  • π

MC(

e- beam incident

Good reproducibility of hit rate & spectral shape

Comparison of PSI data with the simulation

Sim result for each initial particles

TES trigger rate /pixel Measured 0.71 ± 0.11 /sec Simulation 0.64 / sec

J-PARC will be less severe compared with PSI

πM1 at PSI K1.8BR at J-PARC Beam momentum 173 MeV/c 900 MeV/c Total beam intensity 2.8×106 /sec 8.0×105 / spill K−/π−/µ−/e− ratio —/ 40% / 5% / 55% 20% / 60% / 10% / 10% TES trigger rate / pixel 0.64/sec 0.17 /spill Energy deposit on Si 152 MeV/sec 46 MeV/spill

(@ 50 kW) ( normalized by # of incident beam )

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SLIDE 54

H.Tatsuno@20150930 KEK測定器開発セミナー

54 13

Energy (eV)

6000 6100 6200 6300 6400 6500 6600 6700

Counts / 2 eV

20 40 60 80 100 50 kW beam intensity 2 week data taking 2p → 3d He

3

kaonic

1

α

Fe K

2

α

Fe K 2p → 3d He

4

kaonic

  • Stat. accuracies

K-4He : ~0.2 K-3He : ~0.35

Assuming 6 eV FWHM resolution

240 counts 120 counts

Asynchronous bg. : 1.5 counts /eV Synchronous bg. : 6 counts /eV Fe Kα intensities are controllable with applied voltage of x-ray tube

Expected K-He X-ray Spectrum

precision

eV eV

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SLIDE 55

H.Tatsuno@20150930 KEK測定器開発セミナー

55

Summary and Outlook

✓ First application of the TES-based hadronic atom spectroscopy ✓ We have understood… ✓ Absolute energy of π-C 4-3 X-rays

・ E uncertainty ±0.13(stat) ±0.09 (syst) eV

✓ LE tail elimination with different Bi fabrication process

・ energy calibration accuracy ±0.04 eV

✓ Kaonic helium x-ray measurement with TESs at J-PARC

・ low-energy tail (linear E) ・ thermal crosstalk (LE and HE tails) ・ ΔE degrades ・ area correlation cut for LE tail ↓