1 Radiation by Ultrarelativistic Electrons at Ultrahigh Formation Lengths of this Process N. F. Shulga Akhiezer Institute for Theoretical Physics of NSC KIPT Kharkov, Ukraine NPQCD-2011 May 3-6, 2011, Dnepropetrovsk

2 ULTRATRAHIGH FORMATION (COHERENT) LENGTHS The excitation is small

3 Problems Medium influence on radiation Wave and pre-wave zones Detector sizes Radiation process evolution in space and time Methods of description

4 Bethe-Heitler (1933) screening effect

5 SCREENING EFFECT Bethe, Heitler (1933)

6 Coherent length (Ter-Mikaelian, 1953)

7 COHERENT RADIATION IN CRYSTAL Ter-Mikaelian 1953 Landau was agreed that Ter-Mikaelians results were correct, but he said that it is needed to use another way for describing this effect Coherence + Interference Coherent effect

8 COHERENT LENGTH ( Landau-Pomeranchuk 1953, Amorphous Medium )

9 LPM – effect (1953)

10 SLAC experiment E-146

Эффект, подтвержденный через 40 лет! (SLAC – experiment Phys.Let. (1995); Rev.Mod.Phys. (1999) CERN Courier 1994 Е. Фейнберг Природа 1994

12 Излучение на тонкой мишени SLAC – experiment E-146 (1994); Phys.Rev.Lett 75 (1995) N.Shulga, S.Fomin JETP Lett. 27 (1978) 117 Phys.Lett.A114 (1986) 1486 JETP Lett. 63 (1996) 873 JETP 86 (1998) 32

13 RADIATION IN A THIN LAYER OF MATTER Shulga N.F., Fomin S.P., JETP Letters 27 (1978)126; Physics Letters A114 (1986)148. ;

14 RADIATION IN THIN TARGET suppression of radiation N.Shulga, S.Fomin JETP Lett. 1978, 1996

15 QUANTITATIVE THEORY OF RADIATION IN A THIN LAYER OF MATTER Shul'ga N.F., Fomin S.P., JETP Lett. 63 (1996) 873; JETP 86 (1998) 32; NIM B145 (1998) 73.,, :,,,,

16 OTHER PUBLICATIONS : R. Blankenbacler, S.D. Drell. The Landau-Pomeranchuk-Migdal effect for finite targets. Phys.Rev. 1996, v. D53, p R. Blankenbacler. Structured targets and Landau-Pomeranchuk-Migdal Effect. Phys. Rev. 1997, v. D55, p B.G. Zhakharov. Structured targets and Landau-Pomeranchuk-Migdal effect for finite-size targets.JETP Lett. 1996, v. 64, p B.G. Zhakharov. Light-cone path integral approach to the Landau-Pomeranchuk-Migdal effect.Yadernaya Fiz. 1998, v. 61, p R.Baier, Yu.L.Dokshitser, A.H.Mueller, S.Peigne, D.Schiff. The Landau-Pomeranchuk- Migdal effect in QED.Nucl. Phys. 1996, v. B478, p V.N. Baier, V.M. Katkov. Landau-Pomeranchuk-Migdal effect and transition radiation in structured targets.Phys. Rev. 1999, v. D60, , 12 p.....

17

18

19

20 THICKNESS DEPENDENCE

21 CERN experiment NA63 June 2009 U. Uggerhoj : … we have seen the half - bare electron !

Подавление излучения релятивистских электронов в тонком слое вещества (TSF effect) Предсказан в ХФТИ Н.Ф.Шульга, С.П.Фомин, Письма в ЖЭТФ, 27(1978)126. Подтвержден в ЦЕРН H.D.Thomsen et al., Physics Letters B 672 (2009) 323. Продолж. иссл. в ЦЕРН H.D.Thomsen et al., Physical Review D 81 (2010) CERN NA63 SPS = 149 GeV Channeling 2010, Ferrara, Italia A.S.Fomin, S.P.Fomin, N.F.Shulga Nuovo Cimento (2011), in press

23

24 HOW DOES ELECTRON RADIATE? The excitation is small The excitation is increased The excitation is strong

E.Feinberg JETP 50(1966)202, A. Akhiezer, N.Shulga, S.Fomin Sov.Phys.Usp. 30(1987)197 Phys.Let.A 114(1986)148 ELECTROMAGNETIC FIELD OF ELECTRON AT SCATTERING

26 ELECTROMAGNETIC FIELD AFTER ELECTRONS SCATTERING E.Feinberg, JETP, 1966 N.Shulga, Proc. ICACS VII, 1977 A.Akhierzer, N.Shulga, S.Fomin, Sov. Phys. Usp. 1987; Phys. Lett. 1986

27 FOURIER TRANSFORMATION OF ELECTRONS FIELD COHERENT LENGTH, WAVE ZONE

29 GAUSSIAN WAVE PACKET

30 APPROXIMATION OF THE COULOMB FIELD BY THE PACKET OF PLANE WAVES

31 WAVE AND PRE-WAVE ZONES wave zone pre-wave zone N.Shulga, V. Syshchenko, S. Shulga. Phys. Lett. A 374 (2009) 331

32 any z : Extensive detector: Point detector: The Problem of Bremsstrahlung Radiation Measurement N.Shulga, S. Trofymenko, V. Syshchenko JETP Lett., 93 (2011) 1

33 Total field: Boundary condition: Fourier integral for radiation field:

34 z For : It is not the same as in B. Bolotovsky, A. Serov // Phys. Usp., 2009 N.Shulga, S. Trofymenko, V. Syshchenko, Nuovo Cimento (2011)

35 Verzilov V. // Phys. Lett. A., 2000 Dobrovolsky S., Shulga N. // NIM B, 2003 Эффект больших поперечных радиационных длин в переходном излучении «назад»: Существенная зависимость результатов измерений от размера и положения детектора

36 arbitrary : Extensive detector (infinite plate) : Point detector : Verzilov V. // Phys. Lett. A., 2000 Dobrovolsky S., Shulga N. // NIM B, 2003 The Problem of TR Measurement

37 The total field for : A. Akhiezer, N. Shulga High Energy Electrodynamics in Matter, 1996 N. Shulga, V. Syshchenko, S. Shulga // Phys. Lett. A, 2009 BremsstrahlungTransition radiation

38 Transition radiation by torn away field : does not depend on Transition radiation in wave zone by electron with nonequilibrium field : N.Shulga, S. Trofymenko, V. Syshchenko JETP Lett., 93 (2011) 1

39 suppression of radiation for period of oscillations the oscillations can be observed for – detectors resolution for frequency Transition radiation in wave zone by electron with nonequilibrium field : TRANSITION RADIATION BY HALF-BARE ELECTRON N.Shulga, S. Trofymenko, V. Syshchenko JETP Lett., 93 (2011) 1

40 Radiation in Coulomb field of relativistic particle

41 Coherent radiation at electron-beam collision I. Ginzburg, G. Kotkin, S. Polityko, V. Serbo Phys. Lett. B286 (1992) 395 Phys. Rev. E51 (1995) 2493

42 Coherent radiation in crystal and at electron collision with a short bunch N. Shulga, D. Tyutyunnik, JEPT Lett. 78(2003)700., Proc. of SPIE, v. 5974(2005)60. crystal atomic stringbunch

43 Suppression of coherent radiation (analog of LPM-effect) N. Shulga, D. Tyutyunnik. JETP Lett. 78 (2003) 700. NiM B227 (2005) 152 ε=5 Gev, L=0.1 cm, ρ=0.01 cm, N=10 10,

44 THANK YOU FOR YOUR ATTENTION!

45 N.F. Shulga, V.V. Syshchenko, S.V. Trofymenko Akhiezer Institute for Theoretical Physics of NSC KIPT, Kharkov,Ukraine Belgorod State University, Belgorod, Russian Federation Karazin Kharkov National University, Kharkov, Ukraine Transition radiation electromagnetic field structure The problem of radiation measurement Analogy in Bremsstrahlung Transition radiation by half-bare electron N. Shulga, S. Trofymenko, V. Syshchenko // J. Kharkiv National University, 2010

46 Total field: Boundary condition: Fourier integral for radiation field:

47 z For : It is not the same as in B. Bolotovsky, A. Serov // Phys. Usp., 2009

48 arbitrary : Extensive detector (infinite plate) : Point detector : Verzilov V. // Phys. Lett. A., 2000 Dobrovolsky S., Shulga N. // NIM B, 2003

49 The total field for : A. Akhiezer, N. Shulga High Energy Electrodynamics in Matter, 1996 N. Shulga, V. Syshchenko, S. Shulga // Phys. Lett. A, 2009 BremsstrahlungTransition radiation

50 for both point and extensive detectors – for point detector – for extensive detector

51 suppression of radiation for period of oscillations the oscillations can be observed for – detectors resolution for frequency Transition radiation in wave zone by electron with nonequilibrium field :

52 Analogous electromagnetic field structure for TR and Bremsstrahlung Similar effects in TR and Bremsstrahlung Possibility of measurements in pre-wave zone Same results for point and extensive detectors in wave zone Substantial dependence of results on the detectors size in pre-wave zone Manifestation of electrons state with nonequilibrium field by its transition radiation

53 Суммарное поле: Граничное условие: Разложение Фурье для поля излучения:

54 отличается от Б.М. Болотовский, А.В. Серов // УФН, 2009 z При :

55 Verzilov V. // Phys. Lett. A., 2000 Dobrovolsky S., Shulga N. // NIM B, 2003 Эффект больших поперечных радиационных длин в переходном излучении «назад»: Существенная зависимость результатов измерений от размера и положения детектора

56 Переходное излучение «сорвавшегося» поля: не зависит от Переходное излучение «полуголого» электрона в волновой зоне:

57 Структурная аналогия полей переходного и тормозного излучений Аналогичные эффекты в тормозном и переходном излучениях Возможность проведения измерений в предволновой зоне Одинаковые показания точечного и протяженного детекторов в волновой зоне Существенная зависимость результатов измерений от размера детектора в предволновой зоне Проявление «полуголого» состояния электрона в его переходном излучении

58 1.Шульга Н.Ф., Трофименко С.В., Сыщенко В.В. // Вісник ХНУ, серія фізична: ядра, частинки, поля – – 916, вып. 3(47) – с ; 2.Шульга Н.Ф., Трофименко С.В., Сыщенко В.В. // Письма в ЖЭТФ. – – т. 93, вып. 1, с. 3-7; 3.Shulga N.F., Trofymenko S.V., Syshchenko V.V. – Il Nuovo Cimento (направлено на публикацию); 4.Конференция «Charged and Neutral Particles Channeling Phenomena – Channeling 2010» (Феррара, Италия).

59 Coulomb field of charged particles

60 Radiation as perturbation of force lines Gauss theorem R.Tsien, A.P.J., 1972 H. Ohanian, A.P.J., 1980 S. Arutunian, Sov.Phys.Usp., 1986 B.Bolotovskii, A. Serov, Sov.Phys. Usp., 1987, 2009