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15th International Seminar on Electromagnetic Interactions of Nuclei (EMIN-2018), Moscow, 9 th Oct. 2018 Delbruck Scattering using linearly polarized Laser Compton Scattering gamma-rays National Institutes for Quantum and Radiological Science


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Delbruck Scattering using linearly polarized Laser Compton Scattering gamma-rays

National Institutes for Quantum and Radiological Science and Technology (QST)

  • T. Hayakawa

15th International Seminar on Electromagnetic Interactions of Nuclei (EMIN-2018), Moscow, 9th Oct. 2018

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Contents

Proposal of selective measurement of Delbruck scattering using linearly polarized laser Compton scattering beam

  • J. Koga and T. Hayakawa, Phys. Rev. Lett. 118, 204801 (2017).

Generation of 1-MeV quasi-monochromatic gamma-ray for precise measurement of Delbrück scattering by laser Compton scattering H Zen, T Hayakawa, E Salehi, M Fujimoto, T Shizuma, J K Koga, T Kii, M Katoh and H Ohgaki, J. Phys. Coference series, 1067, 092003 (2018). Introduction: photon-photon interactions

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Interactions between photon and photon

QED predicated that a photon can interact with another photon. From 1930’s, the photon-photon interaction has been studied experimentally and theoretically. However, the cross sections are extremely low, and it has been an open question. Photon-photon combing Photon splitting Photon-photon scattering Delbrück Scattering

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Photon-photon scattering

X-rays scattering using XFEL・SALCA

  • T. Inada,
  • Phys. Lett. B, 732, 356 (2014)

High energy new Vol.34 No.2 2015/07.08.09 in Japanese First measurement of photon-photon scattering. 5 TeV gamma-rays with uncertainty of 25% Only 13 events. ATLAS Collaboration, Nat. Phys. (2017). Pb-Pb heavy ion collision ATLAS Experiment using LHC 11 keV X-ray

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Photon splitting

  • Sh. Zh. Akhmadaliev, Phys. Rev. Lett. 89, 061802 (2002)

The measurement of the gamma-ray energy after the target with the incident 450-MeV gamma-ray beam. Detector LCS gamma-rays Target Double Compton scattering made background events. Laser Electron

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NASA X-ray energy spectra show two components. A candidate for lower component is photon splitting in strong magnetic fields. Candidate is a magnetar (neutron star with strong magnetic fields.)

  • G. Younes, Astrophys. J. 785, 52 (2014)

X-rays from soft gamma-ray repeater

X-ray pattern

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Electron Nucleus Gamma-ray Scattered gamma-ray Pair creation Annihilation Positron

The energy of scattered photon is almost identical to the incident photon energy.

Delbrück Scattering

Scattering of a photon by Coulomb field of nucleus

  • L. Meitner, H. Kỏsters (including M. Delbrück’s idea), Z. Phys. 84 (1933)

137

The cross section for Delbrück scattering is much larger than other photon-photon interactions.

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  • Sh. Zh. Akhmadaliev, Phys. Rev. C

58, 2448 (1998).

Previous experiments for Delbrück Scattering

Measurement using LCS gamma-ray in the energy range of 140-480 MeV

  • P. Rullhusen, Nucl. Phys. A 313, 307 (1979).

24Na(T1/2=15.02h)

150 mCi Scattering samples: Th and Bi (500g ) Ge: 76cc Many experiments were carried out using radioactivity and neutron capture gamma-rays at nuclear reactors with energies lower than 3 MeV.

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Delbruck scattering

Elastic scattering

Incident photon Scattered photon Energy E Energy E’

E ≈ E’

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?

Elastic scattering

Incident photon Scattered photon Energy E Energy E’

E ≈ E’

There is the interference between several elastic scattering.

  • atomic Rayleigh (R)
  • nuclear Thomson (T)
  • GDR
  • Delbrück (D)
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Total coherent elastic scattering amplitude

4 COHERENT CONTRIBUTIONS TO THE ELASTIC SCATTERING

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Higher orders

Lowest order Feynman diagrams Higher order Feynman Diagrams

g g' x x e- e- e+ e+ x x g g' x x e- e- e+ e+ x x e- e+ x x Higher order (Za)2n n=2,3,4

lowest order (Za)2 Higher orders of Delbruck scattering proportional to Z^4, Z^6,,,,

  • k, k’ incoming and outgoing g
  • i, j polarization
  • X Coulomb field
  • D momentum transfer

Higher orders in gamma-ray energy has not been calculated.

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Delbrück Rayleigh

  • P. Rullhusen et al., Nucl. Phys. A382, 79 (1982)

Z = 92

Candidates of Higher orders

Contribution of Delbrück larger than Rayleigh Photon energies>1 MeV Signatures of higher orders of Delbruck scattering on 238U were observed. However, the enhancements

  • riginated from resonances
  • n unobserved levels.

Higher orders were not clearly measured.

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la laser C Compt pton sc scat atterin ing gam amma-ray ay be beam am

  • Semi-monochromatic energy

dE/E =1~10%

  • Energy Turntable
  • Almost 100% Linear (Circular)

polarization

HIgS (Duke Uni.) NewSUBARU

MeV energy facilities

UVSOR-III

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New idea

Differential cross sections depends

  • n the angle between the scattered

plane and the linear polarization plane. We search a specific condition at which we can observe selectively the amplitude of Delbruck scattering .

Detector LCS gamma-rays Linear polarization plane Target Scattered gamma-rays 70 degree

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A new code with Feynman diagram by J. Koga

New code using the lowest

  • rder Feynman diagram.

Present algorism package to calculate qucikly. An example of calculated results J.Koga, T.Hayakawa, IFSA 2013, proceedings. We found that the calculation can not be finished even if we use the supercomputer K.

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Return to Classical calculation

・Nuclear Tomson scattering ・GDR Well known ・Rayleigh Second order s-matrix calculation

  • L. Kissel is the last researcher, who

was retired around 2000. We got his code from him. ・Delbruck scattering De Tollis’s calculatioin

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Differential Cross section

We use the formulae obtained by:

  • B. De Tollis, M. Lusignoli, and G. Pistoni, Il Nuovo Cimento A Series 11 32, 227 (1976)
  • B. De Tollis and G. Pistoni, Il Nuovo Cimento A Series 11 42, 499 (1977)
  • B. De Tollis and L. Luminari, Il Nuovo Cimento A Series 11 81, 633 (1984).

Linear polarization (perpendicular/parallel to scattering plane) Circular polarization

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  • Real part
  • Imaginary part

Negative ! Gamma-ray energy : 1.1 MeV Target: Tin

Results by J. Koga

Angle Angle We found that the real part corresponding to virtual process has negative values lower than about 70 degree.

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Proposal of a new experiment

Cross sections If we use a linearly polarized gamma-rays as the incident beam, we can selectively measure the cross section of the Delbruck scattering at 70 degree. Proposed experiment

Detector LCS gamma-rays Linear polarization plane Target Scattered gamma-rays 70 degree

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Energy Dependence by J. Koga

Minimum near ~71o

The minimum angle dose not depend on the energy of the incident photon.

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Possible experiment at ELI-NP

http://www.eli-np.ro/

฀ g  5103 /s /eV Eg =1.1 MeV DEg  510−3Eg  5.5keV   2.75107 /s

฀ D = 0.8  D = 2(1−cos D 2 ) =1.510−4

Expected gamma-ray beam Detector detection angle EI-NP has constructed the next generation of highly intense laser Compton scattering gamma- ray source. We can obtain the cross section with statistical uncertainty of 1% with only 76 day measurement.

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How about detecting below 1.022 MeV

Energy Gamma-rays

Real pair creation Virtual pair creation

+

Imaginary Part Real Part

1.022 MeV

Low energy High energy Virtual pair creation

Below 1.022 MeV real,

  • nly vacuum contribution
  • H. E. Jackson and K. J. Wetzel,

PRL 22 (1969) 1008

We generate 1-MeV LCS gamma-ray beam at anywhere

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MeV energy LCS gamma-ray facilities

HIgS in Duke University TERAS in AIST

Shutdown by the 2011 tohoku earthquake

1990’s ~

Compton scattering with FEL 2005年 ~

NewSUBARU in Spring-8 UVSOR-III in Okazaki ELI-NP high flux gamma-ray source

24

LCS gamma-ray generation with 2 um fiver laser H.Zen, et al. Energy Procedia 89 ( 2016 ) 335. Near future

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UVSOR-III

NewSUBARU

1 GeV top-up mode operation + CO2 laser LCS gamma-ray energy is 1.7 MeV

HIgS

1.7 MeV is table in low energy region

ELI-NP

Not available

UVSOR-III

750 MeV top-up mode operation + CO2 laser LCS gamma-ray energy is just below 1 MeV

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LCS gamma-rays at UVSOR-III

LCS γ-rays CO2 laseer BL1U beam line Detector UVSOR-III Energy: 750MeV Energy Spread: 5.3x10-4 Current: 300mA Bunch length: 128 ps Access Laser LASY20D Polarization : random

  • Ave. Power:20W(28V)

Beam diameter:2.4mm M2:below 1.2 Wave length:10.59 μm Inverse Compton scattering

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Generation of 1-MeV gamma-ray at UVSOR-III

500 1000 1500 0.0 0.5 1.0 1.5 2.0 2.5 3.0

w/o CO2 Laser with CO2 Laser

789 keV,

138La

Counts [#/keV/s] Gamma-ray Energy [keV]

138La 40K

500 1000 1500 200 400 600 Counts per Channel Energy [keV]

1 MeV

Measured spectrum with and without CO2 laser injection. The CO2 laser power was 1.1 W and the electron beam current was 1.3 mA. Difference spectrum which was calculated by subtracting the spectrum without the CO2 laser from the spectrum with the CO2 laser.

LaBr3(Ce) Scintillator 3.5”×4”

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Summary

  • Photon-photon interaction is one of most important topics in QED
  • The cross section of Delbruck scattering is much larger than other processes.
  • In previous experiments, it, in principle, is difficult to separate the Delbruck

scattering from other elastic scattering.

  • We propose a new experiment using linearly polarized LCS gamma-ray beam and

found the specific conidian at which we can measure selectively Delbruck scattering.

  • We have started the study for virtual process in Delbruck scattering at UVSOR-III.
  • J. Koga and T. Hayakawa, Phys. Rev. Lett. 118, 204801 (2017).

H Zen, T Hayakawa, E Salehi, M Fujimoto, T Shizuma, J K Koga, T Kii, M Katoh and H Ohgaki, J. Phys. Coference series, 1067, 092003 (2018).