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Measurements of b energy spectra in Gamow-Teller decays Oscar Naviliat-Cuncic National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy Michigan State University D.Bazin 1 , S. Chandavar 1 , A.Gade 1 , E, George 3 ,


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SLIDE 1

Measurements of b energy spectra in Gamow-Teller decays

Oscar Naviliat-Cuncic

National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy Michigan State University

D.Bazin1, S. Chandavar1, A.Gade1, E, George3, M.Hughes1, X.Huyan1, S.Liddik1, K.Minamisono1, O.Naviliat- Cuncic1, S.Noji1, S.Paulauskas1, A.Simon1,3, P.Voytas2, D.Weisshaar1

1 NSCL/Michigan State University MI, USA 2 Wittenberg University, OH, USA 3 University of Notre Dame, IN, USA

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SLIDE 2

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 2

Context

  • Search/Constraint exotic (Tensor) couplings in

charged weak current processes.

  • Focus on semi-leptonic processes (nuclear b

decay)

  • Select pure Gamow-Teller decays which are

sensitive to Tensor type interactions.

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SLIDE 3

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 3

Phenomenology guidance

  • M. Gonzalez-Alonso, arXiv:1209.0689v1
  • T. Bhattacharya et al., PRD 85 (2012) 054512
  • V. Cirigliano, S. Gardner, B.R, Holstein, Prog. Part. Nucl. Phys. 71 (2013) 93
  • Is there any niche left by the LHC to constraint new physics?
  • What is the complementarity between low- and high energy

searches and (in any) which is the required precision for low energy experiments?

4

10 

T

  • Largest sensitivity obtained by observables which are linear

in the couplings.

(Current limits from beta decay are at the level 24×10-3)

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SLIDE 4

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 4

  • The Fierz term in the b spectrum
  • The Fierz term is linear in the couplings

Observable and kinematic sensitivity

) ( 1 ) ( ) ( ) (

2

W S b W m W Q W W pW W N

R GT 

       

) (

A T A T GT

C C C C b    

  • M. Gonzalez-Alonso and O. N.-C
  • Phys. Rev. C 94 (2016) 035503

Kinematic sensitivity (6He comparable to neutron decay)

Stat error for 108 events T GT

b  8 

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SLIDE 5

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 5

Selection of candidates

Hadronic effects (weak magnetism) are well under control. They serve as a sensitivity test of the experimental technique.

Gamow-Teller decays in isospin triplets

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SLIDE 6

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 6

Weak magnetism in 6He decay

GT A M

g c 

 

W C W C C W SR / 1 ) (

1 1 

   

Effect on the 6He spectrum shape

2.3%

MC-Simulation

2×107 events

  • The WM form factor, bWM, can be calculated

with sufficient accuracy using the strong form

  • f CVC applied to an isospin triplet.
  • The WM contributes to all terms of the

spectrum shape factor

MeV % ) 9 ( 0802 . 1 3 2

2 1

           

c b M m C

WM

% ) 14 ( 234 . 1 1 3 2           c b M W C

WM

MeV / % ) 69 ( 6502 . 2 5 3 2

1

         c b M C

WM

First goal

79 . 22 . 68  

CVC WM

b

B.R. Holstein and S.B. Treiman, PRC 3 (1971) 1921

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SLIDE 7

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 7

Instrumental effects in b spectra measurements

  • Why such a simple experiment has not been performed so far?

D.W. Hetherington, A. Alousi and R.M. Moore, NPA 494 (1989) 1

Ge Detector response function for a measurement of the shape in 20F decay

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SLIDE 8

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 8

Calorimetric technique

  • We have eliminated all those effects using a calorimetric

technique

Range of b particles Active detector

6He or 20F source

  • Requires the appropriate beam energy to implant ions inside

a detector.

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SLIDE 9

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 9

Experiment with implanted 6He at the NSCL

  • Dp/p = 1%
  • Dx×Dy = 1.5×2 mm2

(Be)

Primary beam

18O, 120 MeV/u

Extraction: 1.2×105 6He/s 72 MeV/u

CsI(Na) NaI(Tl) Al degrader

6He

46 MeV/nucleon after degrader

6He

  • CsI(Na) (2"×2"×5")
  • NaI(Tl) (Ø3"×3")
  • (Ø1"×1") CsI(Na)
  • (Ø1"×1") NaI(Tl)
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SLIDE 10

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 10

Experiment with implanted 20F

99.99% 2.9

0+; T=0 2+; T=0

F

20 9

Ne

20 10

11.0 s stable Eb = 5392 keV 1.63 MeV

20F

  • 22Ne primary beam
  • 20F implanted at132

MeV/nucleon

  • 4 (3"×3"×3") CsI(Na)

for g

  • PVT (Ø3"×3") and

(2"×2"×4") CsI(Na) implantation detectors for b

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SLIDE 11

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 11

Sample spectra (6He)

CsI-run145-segs:0,1,2-TwS:0400-0500 CsI-run145-segs:0,1,2-TwB:1000-1100 CsI-run145-segs:0,1,2-Ew:1000-5000

Ambient background Beam induced background

6He decay

No traces of “short lived” beam induced background

  • Collected typically 107 events in 1 h run
  • Define slices between 3.5 and 5.0 s, with:
  • 106 events in each spectrum
  • Rate < 20 kcps
  • S/B > 20
  • ~50 spectra with CsI(Na)
  • ~50 spectra with NaI(Tl)

Beam ON/OFF sequence

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SLIDE 12

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 12

Theoretical spectrum and Geant4 simulation

M R S C L W Z F W Q       ) , ( ) (

  • EM and radiative corrections

CsI(Na) Generated Absorbed (G4)

  • The measured spectrum is distorted due

to the escape of Bremsstrahlung radiation.

  • The absorbed energy spectrum was

determined using G4 simulations.

G4 simulations:

  • X. Huyan et al. submitted to NIM-A
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SLIDE 13

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 13

Systematics: gain of detection system

) 1 )( ( ) (

1W

C W P W N  

  • The technique relies on the extraction of the system gain for each measured

spectrum (“auto-calibration”).

Gain

Afit (chan/keV) (AMC/ Afit – 1)103 C1 – fit (%/MeV)

C1-MC

Gain stretch - 1

  • There is no correlation between the

actual value of the system gain and the form factor.

MC simulation: 106 events/run

  • There is a correlation between

individual systematic errors made in the determination of the system gain and the form factor.

bWM (fit)

1000 MC runs

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SLIDE 14

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 14

Systematics: “fast” pile-up

Experiment Pile-up calculation Digitizer simulation

26 kcps 12 kcps

Measured spectrum

NO FIT

CsI(Na) signal waveform

Full pile-up Partial pile-up

NO FIT

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SLIDE 15

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 15

Data analysis: example of Monte-Carlo fit

) / 1 )( ( ) (

1 1

W C W C C W G W N

   

Free parameters

  • Overall normalization N0
  • bWM
  • System gain (Ch = AE+B)

Fit data with G4 simulated spectra convoluted with the detector response, including pile-up contribution bWM = 97±32 c2/n = 0.934

Electron energy (ADC units)

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SLIDE 16

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 16

Current results (CsI detector)

E = 650-8000 keV S/B > 22 Tmin = 3.5 s B = 32 csi_ET_00muS

  • The rate correlated change of gain is about 2-3% over this range.
  • This would potentially induce a systematic effect by a factor 6 to 9!!!

No indication of a rate dependent effect over this range No indication of a slow drift variation during the duration

  • f the run
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SLIDE 17

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 17

Status and Outlook

  • We have performed high statistics measurements of the b

spectrum shape in 6He and 20F decays.

  • We have analyzed half of the collected data in 6He. This

will enable the determination of the weak magnetism form factor with a relative statistical uncertainty of about 6%.

  • Assuming CVC the measurement will allow the

determination of the Fierz term at the 0.2% statistical level.

  • The full collected statistics in 6He and 20F will allow us to

reach a statistical precision of 0.1% on bGT

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SLIDE 18
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SLIDE 19

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 19

Systematic effects

  • 1. Theoretical corrections to beta spectrum
  • 2. Bremsstrahlung escape (Geant4)
  • 3. Detector response function (convolution)
  • 4. “Fast” pile-up (digital DAQ)
  • 5. After-glow pile-up (system gain)
  • 6. Detection system gain (calibration)
  • 7. Calibration offset (base line)
  • 8. Background subtraction with gain correction
  • 9. Detection system linearity

      

= systematic error smaller than or comparable to stat. uncertainty

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SLIDE 20

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 20

Sample spectra 20F experiment

1.63 MeV

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SLIDE 21

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 21

20F half-life analysis

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SLIDE 22

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 22

Geant4 simulations: photon yields

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SLIDE 23

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 23

Geant4 simulations: absorption fractions

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SLIDE 24

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 24

Pile-up: response of digitizer

CsI(Na) signal waveform External parameters (Trapezoidal filter) 840 ns

Digitizer

“delta” distribution Pile-up response 10 kcps

RATE

For the 6He run, we didn’t record

  • traces. Need to determine pile-up

response from measured distributions.

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SLIDE 25

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 25

Pile-up: benchmark response of digitizer

137Cs

Digitizer simulation

Measured distribution

  • Experiment
  • Pile-up calculation

40 kcps 20 kcps 10 kcps

NO FIT !

(Does not include pile-ups beyond the trapezoidal time window)

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SLIDE 26

Workshop on The Electroweak Box, UMass Amherst Sep. 28-30, 2017 26

Beam purity and measuring sequence

Beam energy measured with implantation detector

(operating detector at low gain)

Implantation

2.5 s 10-15 s

Decay

NaI-run182-segs:0,1-Ew:500-2500