Complete description of polarization effects in the nonlinear Compton scattering II. Linearly polarized laser photons
|
|
- Patrick George
- 5 years ago
- Views:
Transcription
1 Complete description of polarization effects in the nonlinear Compton scattering II. Linearly polarized laser photons arxiv:hep-ph/0311v 10 Dec 003 D.Yu. Ivanov 1, G.L. Kotkin, V.G. Serbo 1 Sobolev Institute of Mathematics, Novosibirsk, , Russia Novosibisk State University, Novosibirsk, , Russia December 10, 003 Abstract We consider emission of a photon by an electron in the field of a strong laser wave. Polarization effects in this process are important for a number of physical problems. We discuss a probability of this process for linearly polarized laser photons and for arbitrary polarization of all other particles. We obtain the complete set of functions which describe such a probability in a compact form. 1 Introduction Let us consider emission of a photon by an electron in the field of a strong laser wave. The complete description of polarization effects in the case of the circularly polarized laser wave was considered in our paper [1]. The present paper is a continuation of Ref. [1] and we use the same notations 1. Thus, we deal with the process of nonlinear Compton scattering eq + n γ L k eq + γk, 1 when the electromagnetic laser field is described by 4-potential A µ x = A µ cos kx, where A µ is the amplitude of this field. Such a process with absorbtion of n = 1,, 3, 4 linearly polarized laser photons was observed in recent experiment at SLAC []. The method of calculation for such process was developed by Nikishov and Ritus [3]. It is based on the exact solution of the Dirac equation in the external electromagnetic plane 1 Below we shall quote formulas from paper [1] by a double numbering, for example, Eq. 1.1 means Eq. 1 from Ref. [1]. 1
2 wave. Some particular polarization properties of this process for the linearly polarized laser photons were considered in [3, 4]. In the present paper we give the complete description of the nonlinear Compton scattering for the case of linearly polarized laser photons and arbitrary polarization of all other particles. We follow the method of Nikishov and Ritus in the form presented in [5] 101. In the next section we briefly describe the kinematics. The cross section, including polarization of all particles, is obtained in Sect. 3. In Sect. 4 the polarization of final particles, averaged over azimuthal angle, is obtained. In Sect. 5 we summarize our results and compare them with those known in the literature. In Appendix we give a comparison of the obtained cross section in the limit of weak laser field with the known results for the linear Compton scattering. Kinematics All kinematical relations derived in Sect. of Ref. [1] are valid for the considered case as well. In particular, the parameter of nonlinearity is defined via the mean value of squared 4-potential in the same form ξ = e A mc µ xa µ x = e 1 mc A µa µ, 3 where e and m is the electron charge and mass, c is the velocity of light. Therefore, the amplitude of 4-potential can be presented in the form mc A µ = ξ e µ L e, e Le L = 1, 4 where e µ L is the unit 4-vector describing the polarization of the laser photons. In the frame of reference, in which the electron momentum p is anti-parallel to the initial photon momentum k we call it as a collider system, we direct the z-axis along the initial electron momentum p. For the discussed problem it is convenient to choose the x-axis along the direction of the laser linear polarization, i.e. along the vector e L. Azimuthal angles ϕ, β and β of vectors k and electron polarizations ζ and ζ are defined with respect to this x-axis. After that, the unit 4-vector e L can be presented in the form e L = e 1 sin ϕ e cosϕ, 5 where the unit 4-vectors e 1 and e are given in This equation determines the quantities sin ϕ and cos ϕ in an invariant form, suitable for any frame of reference. As in paper [1], we use the Stokes parameters ξ i and ξ i to describe the polarization of the initial photon and the detector polarization of the final photon, respectively. They are defined 1/. Note, that our definition of this parameter differs from that used in Refs. [3] by additional factor
3 with respect to the x y z -axes which are fixed to the scattering plane. The x -axis is the same for both photons and perpendicular to the scattering plane: the y -axes are in that plane, in particular, for the initial photon and x k k ; 6 y k k k = ω k 7 y k k k 8 for the final photon. The azimuthal angle of the linear polarization of the laser photon in the collider system equals zero with respect to the xyz-axes, and it is ϕ π/ with respect to the x y z -axes. Therefore, in the considered case of 100 % linearly polarized laser beam one has ξ 1 = sin ϕ, ξ = 0, ξ 3 = cos ϕ. 9 At small emission angles of the final photon θ γ 1, the final photon moves almost along the direction of the z-axis and k k azimuth is approximately equal to ϕ π/. Let ˇξ be the detected Stokes parameters for the final photons, fixed to the xyz-axes. They are connected with ξ by the relations ξ 1 ˇξ 1 cos ϕ + ˇξ 3 sin ϕ, ξ = ˇξ, ξ 3 ˇξ 3 cos ϕ ˇξ 1 sin ϕ. 10 The polarization properties of the initial and final electrons are described in the same form as in paper [1]. 3 The effective cross section As in paper [1], we present the effective differential cross section in the form 3 dσξ i, ζ = r e 4x n F n dγ n, dγ n = δq + n k q k d3 k ω d 3 q q 0, 11 where r e = α/m is the classical electron radius, and F n = F n =1 We have calculated functions F n F n, G n ξ + G n and i ζ + 3 i,=1 i ζ i ξ. 1 using the standard technic presented in [5] 101. All the necessary traces have been calculated using the package MATEMA- TIKA. In the considered case almost all dependence on the nonlinearity parameter ξ 3 Below we use the system of units in which c = 1, h = 1. 3
4 accumulates in three functions: f n = 4 [A 1 n, a, b] 4A 0 n, a, ba n, a, b, g n = 4n z n [A 0 n, a, b], 13 h n = 4n a A 0n, a, b A 1 n, a, b, where functions A k n, a, b were introduced in [3] as follows A k n, a, b = π π cos k ψ exp [ i nψ a sin ψ + b sin ψ] dψ π. 14 The arguments of these functions are a = e Ap kp Ap, b = 1 1 kp 8 e A kp 1 kp 15 or in more convenient variables they are a = ξ m el p kp e Lp, b = kp y x ξ. 16 In the collider system one has where a = z n cos ϕ, 17 z n = ξ 1 + ξ n s n was defined in Among the functions A 0 n, a, b, A 1 n, a, b and A n, a, b there is a useful relation n b A 0 n, a, b a A 1 n, a, b + 4bA n, a, b = To find the photon spectrum, one needs also functions 13 averaged over the azimuthal angle ϕ: f π dϕ π n = f n 0 π, g dϕ n = g n 0 π. 19 For small values of ξ 0 or y 0, we have a y ξ, b y ξ, 0 A 0, n, a, b y ξ n/, A1 n, a, b y ξ n 1/, f n, g n, h n y ξ n 1, 4
5 in particular, at ξ = 0 or at y = 0 f 1 = f 1 = g 1 = h 1 = 1, g 1 = 1 + cos ϕ. 1 The results of our calculations are the following. First, we define the auxiliary functions where we use the notation X n = f n 1 + c n [ 1 r n g n h n cos ϕ ], Y n = 1 + c n g n h n cos ϕ, V n = f n cos ϕ c n [ 1 r n g n h n cos ϕ ] sin ϕ, = ξ 1 + ξ, c n and r n is defined in 1.10 and 1.11, respectively. The item F n 0, related to the total cross section 1.35, reads F n 0 = y + y f n s n 1 + ξ g n. 3 The polarization of the final photons ξ f is given by Eq where F n 1 = X n sin ϕ, F n 3 = V n + s n 1 + ξ g n, 4 F n = 1 + ξ The polarization of the final electrons ζ f G n 1 = G n = [ hn ζ 1 sin ϕ Y n ζ ] + y f n s n 1 + ξ g n y ζ 3, is given by Eqs. 1.37, 1.38 with f n s n 1 + ξ g n ζ 1 + hn ζ 1 + ξ 3 sin ϕ, f n s n 1 + ξ g n ζ 1 + ξ Y nζ 3, 5 G n 3 = 1 + ξ y + y + hn ζ 1 sin ϕ Y n ζ f n + y s n 1 + ξ g n ζ 3. At last, the correlation of the final particles polarizations are 11 = 1 = y + y y X n ζ 1 sin ϕ y V n s n 1 + ξ g n ζ Y 1 + ξ nζ 3, [ ] y yv n s n 1 + ξ g y + y n ζ 1 + X n ζ sin ϕ 5
6 31 = 1 = 3 = 13 = 3 = ξ h n ζ 3 sin ϕ, Yn ζ 1 + ξ 1 h n ζ sin ϕ + X n ζ 3 sin ϕ, hn sin ϕ, 1 + ξ = 1 + ξ Y n, [ ] y y f n s n 1 + ξ g n, 6 y + y V n s n 1 + ξ g y y n ζ 1 X nζ sin ϕ + h 1 + ξ n ζ 3 sin ϕ, y y y + y X nζ 1 sin ϕ V n + y + Y 1 + ξ nζ 3, s n 1 + ξ g n ζ 33 = hn ζ 1 + ξ 1 sin ϕ + Y n ζ V n s n 1 + ξ g n ζ 3. 4 Averaged polarization of the final particles In many application it is important to know the averaged over azimuthal angle ϕ polarization of the final photon and electron in the collider system. To find it, we can use the same method as for the linear Compton scattering see Refs. [9], [7] and [8]. We substitute ξ, ζ, ξ and ζ from Eqs. 9, 1.51, 10 and 1.56, respectively, into Eq. 1 and obtain after integration over azimuthal angle ϕ: where dσ n ξ i, ζ dy +G n πr e x ζ ζ + Gn F n 0 = n F 0 + Φ n 1 ˇξ 1 n + F ˇξ + Φn 3 ˇξ ζ 3ζ 3 + ζ i ξ, i,=1 i 1 + f n s n 1 + ξ g n, Φ n 1 = F n 1 cos ϕ F n 3 sin ϕ = 0, F n y = f n s n 1 + ξ g n y ζ 3, Φ n 3 = F n 1 sin ϕ F n 3 cos ϕ, G n = f n s n 1 + ξ g n, 6
7 G n = y + y f n + y s n 1 + ξ g n, As a result, the averaged Stokes parameters of the final photon are n ˇξ f f F f 1n 0, ˇξ n, ˇξ F n 3n 0 Φn 3 F n 0, 8 and the averaged polarization of the final electron is ζ f n Gn F n 0 ζ, ζ f 3n Gn F n 0 ζ 3. 9 Note that averaged Stokes parameters of the final photon do not depend on ζ and that averaged polarization vector of the final electron is not equal zero only if ζ 0. These properties are similar to those in the linear Compton scattering. 5 Summary and comparison with other papers Our main result is given by Eqs. 3 6 which present 16 functions F 0, F, G and H i with i, = 1 3. They describe completely all polarization properties of the nonlinear Compton scattering in a rather compact form. In the literature we found 4 functions which can be compared with ours F 0, F 1, F, F 3. They enter the total cross section 1.35, 1.54, the differential cross sections 1.53, 1.54 and the Stokes parameters of the final photons The function F 0 was calculated in [3], the functions F were obtained in [4]. Our results 3, 4 coincide with the above mentioned ones. The polarization of the final electrons is described by functions G 5. They enter the polarization vector ζ f given by exact 1.38, 1.61 and approximate 1.67 equations. The correlation of the final particles polarizations are described by functions H i given in Eqs. 6. We did not find in the literature any on these functions. At small ξ all harmonics with n > 1 disappear due to properties 0 and 1, dσ n ξ i, ζ ξn 1 at ξ We checked that in this limit our expression for dσξ i, ζ coincides with the result known for the linear Compton effect, see Appendix. Acknowledgements We are grateful to I. Ginzburg, M. Galynskii, A. Milshtein, S. Polityko and V. Telnov for useful discussions. This work is partly supported by INTAS code and RFBR code ; D.Yu.I. acknowledges the support of Alexander von Humboldt Foundation. 7
8 Appendix: Limit of the weak laser field At ξ 0, the cross section 11 has the form where dσξ i, ζ = r e 4x F dγ; dγ = δp + k p k d3 k ω d 3 p E, 31 F = F F ξ + G ζ + H i ζ i ξ. 3 =1 To compare it with the cross section for the linear Compton scattering, we should take into account that the Stokes parameters of the initial photon have values 9 and that our invariants c 1, s 1, r 1 and auxiliary functions transforms at ξ = 0 to Our functions i,=1 c 1 c = 1 r, s 1 s = r1 r, r 1 r = X 1 c, Y 1 c1 ξ 3, V 1 ξ 3. y x, 33 1 F 0 = + s 1 ξ 3, F 1 = cξ 1, F 3 = s c ξ 3, 34 1 F = yscζ + y + c ζ 3 ys ζ 1 ξ 1 + ys cζ + sζ 3 ξ 3 coincide with those in [7]. Our functions G 1 = 1 + c + s ξ 3 ζ s ξ 1ζ 3, G = 1 + c + s ξ 3 ζ ysc 1 ξ 3 ζ 3, 35 [ ] 1 G 3 = ysξ 1 ζ 1 + ysc1 ξ 3 ζ y c + s ξ 3 ζ 3. coincide with functions Φ given by Eqs. 31 in [8]. At last, we check that our functions H 11 = H 1 = y y + y c ζ 1 ξ 1 + y [ ] s + + c ξ 3 ζ1 + [ ] y ξ 3 + s 1 ξ 3 ζ ysc1 ξ 3 ζ 3, y + y cξ 1 ζ ysξ 1 ζ 3, H 31 = ycs 1 ξ 3ζ 1 + ys ξ 1ζ + cξ 1 ζ 3, H 1 = ys H = ycs 1 ξ 3, H 3 = y [ y s 1 ξ 3 ], H 13 = s ζ c + y ξ 3 ζ c y ξ 1 ζ ys ξ 1 ζ 3, 8 ξ 1, 36
9 = y y c ξ 1 ζ y s ζ c + y c ys H 33 = ξ 1 ζ sc 1 ξ 3 ζ + s ζ c ξ 3 ζ 3 H 3 ξ 3 ζ + ysc1 ξ 3 ζ 3, coincide with the corresponding functions from [6]. At such a comparison, one needs to take into account that the set of unit 4-vectors, used in our paper see Eqs. 1.19, 1.3, and one used in paper [6] are different. The relations between our notations and the notations used in [6] are given by Eqs References [1] D.Yu. Ivanov, G.L. Kotkin, V.G. Serbo, Complete description of polarization effects in the nonlinear Compton scattering. I. Circularly polarized laser photons. hep-ph/ [] C. Bula, K. McDonald et al., Phys. Rev. Lett. 76, [3] A.I. Nikishov, V.I. Ritus, Zh.Eksp.Teor.Fiz. 46, ; Trudy FIAN Proc. Lebedev Institute, in Russian. [4] Ya.T. Grinchishin, M.P. Rekalo, Yad. Fiz., [5] V.B. Berestetskii, E.M. Lifshitz, L.P. Pitaevskii, Quantum electrodynamics Nauka, Moscow [6] A.G. Grozin, Proc. Joint Inter. Workshop on High Energy Physics and Quantum Field Theory Zvenigorod, ed. B.B. Levtchenko, Moscow State Univ. Moscow, 1994 p. 60; Using REDUCE in high energy physics Cambridge, University Press [7] I.F. Ginzburg, G.L. Kotkin, S.L. Panfil, V.G. Serbo, Yad. Fiz. 38, ; I.F. Ginzburg, G.L. Kotkin, S.L. Panfil, V.G. Serbo, V.I. Telnov, Nucl. Instr. Meth. 19, [8] G.L. Kotkin, S.I. Polityko, V.G. Serbo, Nucl. Instr. Meth. A 405, [9] I.I. Goldman, V.A. Khoze, ZhETF 57, ; Phys. Lett. B 9,
Production of e + e pairs to all orders in Zα for collisions of high-energy muons with heavy nuclei
UL NTZ 14/98 Production of e + e pairs to all orders in Zα for collisions of high-energy muons with heavy nuclei arxiv:hep-ph/9807311v1 9 Jul 1998 D. Ivanov 1,2, E.A. Kuraev 3, A. Schiller 1, and V.G.
More informationCoherent bremsstrahlung at the BEPC collider
Coherent bremsstrahlung at the BEPC collider arxiv:hep-ph/9805466v2 9 Jul 1998 Y.B.Ding Graduate School, USTC at Beijing, Academia Sinica, Beijing 100039, China and Department of Physics, University of
More informationPhoton Colliders at Multi-TeV Energies
Photon Colliders at Multi-TeV Energies Valery Telnov Institute of Nuclear Physics, 630090 Novosibirsk, Russia High energy photon colliders (γγ, γe) based on backward Compton scattering of laser light are
More informationChapter 2 Solutions of the Dirac Equation in an External Electromagnetic Field
Chapter 2 Solutions of the Dirac Equation in an External Electromagnetic Field In this chapter, the solutions of the Dirac equation for a fermion in an external electromagnetic field are presented for
More informationarxiv: v1 [hep-ph] 21 Dec 2010
Nucleon polarization in the process e + e N N near threshold. A.E. Bondar, V.F. Dmitriev, A.I. Milstein, and V.M. Strakhovenko Budker Institute of Nuclear Physics and Novosibirsk State University, 630090
More informationPart III. Interaction with Single Electrons - Plane Wave Orbits
Part III - Orbits 52 / 115 3 Motion of an Electron in an Electromagnetic 53 / 115 Single electron motion in EM plane wave Electron momentum in electromagnetic wave with fields E and B given by Lorentz
More informationSimulating experiments for ultra-intense laser-vacuum interaction
Simulating experiments for ultra-intense laser-vacuum interaction Nina Elkina LMU München, Germany March 11, 2011 Simulating experiments for ultra-intense laser-vacuum interaction March 11, 2011 1 / 23
More informationEUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH CERN - SL DIVISION. Multi-TeV CLIC Photon Collider Option. H. Burkhardt
EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH CERN - SL DIVISION CERN-SL-2000-070 CLIC Note 463 AP Multi-TeV CLIC Photon Collider Option H. Burkhardt Considerations for an option of γγ collisions at multi-tev
More informationarxiv: v2 [physics.acc-ph] 18 Feb 2014
Acceleration of electrons by high intensity laser radiation in a magnetic field Robert Melikian arxiv:1307.5428v2 [physics.acc-ph] 18 Feb 2014 A.I. Alikhanyan National Science Laboratory, Alikhanyan Brothers
More informationIntense laser-matter interaction: Probing the QED vacuum
Intense laser-matter interaction: Probing the QED vacuum Hartmut Ruhl Physics Department, LMU Munich, Germany ELI-NP, Bucharest March 11, 2011 Experimental configuration Two laser pulses (red) collide
More informationThe SM Higgs-boson production in γγ h bb at the Photon Collider at TESLA
CERN-TH/22-166 IFT - 29/22 hep-ph/28234 July 22 arxiv:hep-ph/28234v2 6 Sep 22 The SM Higgs-boson production in γγ h bb at the Photon Collider at TESLA Piotr Nieżurawski, Aleksander Filip Żarnecki Institute
More informationGeneral amplitude of the n vertex one-loop process in a strong magnetic field
Yaroslavl State University Preprint YARU-HE-0/09 hep-ph/01009 arxiv:hep-ph/01009v 1 Mar 003 General amplitude of the n vertex one-loop process in a strong magnetic field A. V. Kuznetsov, N. V. Mikheev,
More informationVolkov solution for two laser beams and ITER
Volkov solution for two laser beams and ITER arxiv:hep-ph/0507141v1 12 Jul 2005 Miroslav Pardy Laboratory of the Plasma Physics and Department of Physical Electronics Masaryk University Kotlářská 2, 611
More informationarxiv:hep-ph/ v1 15 Apr 1995
RUP-5-95 ITP-SU-95/01 arxiv:hep-ph/9504309v1 15 Apr 1995 Polarization Effects in Chargino Production at High Energy γγ Colliders Masayuki Koike Department of Physics, Rikkyo University, Tokyo 171, Japan
More informationMeasurement of Charged Particle Spectra in Deep-Inelastic ep Scattering at HERA
Measurement of Charged Particle Spectra in Deep-Inelastic ep Scattering at HERA Alexander BYLINKIN ( Institute for Theoretical and Experimental Physics (ITEP), Moscow, Russia) E-mail: alexander.bylinkin@gmail.com
More informationarxiv:nucl-th/ v1 3 Jul 1996
MKPH-T-96-15 arxiv:nucl-th/9607004v1 3 Jul 1996 POLARIZATION PHENOMENA IN SMALL-ANGLE PHOTOPRODUCTION OF e + e PAIRS AND THE GDH SUM RULE A.I. L VOV a Lebedev Physical Institute, Russian Academy of Sciences,
More informationRelativistic Strong Field Ionization and Compton Harmonics Generation
Relativistic Strong Field Ionization and Compton Harmonics Generation Farhad Faisal Fakultaet fuer Physik Universitiaet Bielefeld Germany Collaborators: G. Schlegel, U. Schwengelbeck, Sujata Bhattacharyya,
More informationTHE INTERACTION OF FREE ELECTRONS WITH INTENSE ELECTROMAGNETIC RADIATION
THE ITERACTIO OF FREE ELECTROS WITH ITESE ELECTROMAGETIC RADIATIO M. BOCA, V. FLORESCU Department of Physics and Centre for Advanced Quantum Physics University of Bucharest, MG-11, Bucharest-Mãgurele,
More informationProcesses with the t-channel singularity in the physical. K. Melnikov. Institut fur Physik,Universitat Mainz. and. V.G. Serbo
Processes with the t-channel singularity in the physical region: nite beam sizes make cross sections nite K. Melnikov Institut fur Physik,Universitat Mainz and V.G. Serbo Institut fur Theoretische Physik,
More informationSuppression of Radiation Excitation in Focusing Environment * Abstract
SLAC PUB 7369 December 996 Suppression of Radiation Excitation in Focusing Environment * Zhirong Huang and Ronald D. Ruth Stanford Linear Accelerator Center Stanford University Stanford, CA 94309 Abstract
More informationElectromagnetic effects in the K + π + π 0 π 0 decay
Electromagnetic effects in the K + π + π 0 π 0 decay arxiv:hep-ph/0612129v3 10 Jan 2007 S.R.Gevorkyan, A.V.Tarasov, O.O.Voskresenskaya March 11, 2008 Joint Institute for Nuclear Research, 141980 Dubna,
More informationTop quark pair production and decay at a polarized photon collider
DESY -4 SDU-HEP Top quark pair production and decay at a polarized photon collider arxiv:hep-ph/v Apr A. Brandenburg a,, Z. G. Si b, a DESY-Theorie, 6 Hamburg, Germany b Department of Physics, Shandong
More informationV.G. Baryshevsky. Institute for Nuclear Problems, Belarusian State University, Minsk, Belarus
The phenomena of spin rotation and depolarization of highenergy particles in bent and straight crystals at Large Hadron Collider (LHC) and Future Circular Collider (FCC) energies and the possibility to
More informationTHE POSSIBILITY OF PRECISE MEASUREMENT OF ABSOLUTE ENERGY OF THE ELECTRON BEAM BY MEANS OF RESONANCE ABSORPTION METHOD R.A.
THE POSSIBILITY OF PRECISE MEASUREMENT OF ABSOLUTE ENERGY OF THE ELECTRON BEAM BY MEANS OF RESONANCE ABSORPTION METHOD R.A. Melikian Yerevan Physics Institute, Yerevan, Armenia Abstract In this report
More informationfor the production of lepton pairs and photons in collisions of relativistic nuclei
Strong-field effects for the production of lepton pairs and photons in collisions of relativistic nuclei Valery G. Serbo and Ulrich D. Jentschura Novosibirsk State University, Novosibirsk, Russia Institut
More informationPhysics Letters A 374 (2010) Contents lists available at ScienceDirect. Physics Letters A.
Physics Letters A 374 (2010) 1063 1067 Contents lists available at ScienceDirect Physics Letters A www.elsevier.com/locate/pla Macroscopic far-field observation of the sub-wavelength near-field dipole
More informationarxiv: v1 [nucl-ex] 9 Jul 2013
Study of the partial wave structure of π η photoproduction on protons A. Fix 1, V.L. Kashevarov 2,3, M. Ostrick 2 1 Tomsk Polytechnic University, Tomsk, Russia 2 Institut für Kernphysik, Johannes Gutenberg-Universität
More informationarxiv:hep-th/ v1 26 Jul 1994
INFN-NA-IV-94/30 DSF-T-94/30 NONCLASSICAL LIGHT IN INTERFEROMETRIC MEASUREMENTS arxiv:hep-th/9407171v1 6 Jul 1994 N. A. Ansari, L. Di Fiore, R. Romano, S. Solimeno and F. Zaccaria Dipartimento di Scienze
More informationarxiv: v2 [hep-ex] 12 Feb 2014
arxiv:141.476v2 [hep-ex] 12 Feb 214 on behalf of the COMPASS collaboration Technische Universität München E-mail: stefan.huber@cern.ch The value of the pion polarizability is predicted with high precision
More informationarxiv: v1 [hep-ex] 10 May 2016
Chapter 1 A method to measure vacuum birefringence at FCC-ee Ulrik I. Uggerhøj and Tobias N. Wistisen arxiv:165.2861v1 [hep-ex] 1 May 216 Abstract It is well-known that the Heisenberg-Euler-Schwinger effective
More informationD Göttingen, Germany. Abstract
Electric polarizabilities of proton and neutron and the relativistic center-of-mass coordinate R.N. Lee a, A.I. Milstein a, M. Schumacher b a Budker Institute of Nuclear Physics, 60090 Novosibirsk, Russia
More informationRemarks on the tunneling limit of strong-field photoionization
Remarks on the tunneling limit of strong-field photoionization Jarosław H. Bauer * Katedra Fizyki Teoretycznej Uniwersytetu Łódzkiego, Ul. Pomorska 149/153, 90-36 Łódź, Poland Some results from a recent
More informationHadronic structure functions in the e + e ΛΛ reaction
Hadronic structure functions in the e + e ΛΛ reaction Göran Fäldt a, Andrzej Kupsc a a Division of Nuclear Physics, Department of Physics and Astronomy, Uppsala University, Box 516, 75120 Uppsala, Sweden
More information48 K. B. Korotchenko, Yu. L. Pivovarov, Y. Takabayashi where n is the number of quantum states, L is the normalization length (N = 1 for axial channel
Pis'ma v ZhETF, vol. 95, iss. 8, pp. 481 { 485 c 01 April 5 Quantum Eects for Parametric X-ray Radiation during Channeling: Theory and First Experimental Observation K. B. Korotchenko 1), Yu. L. Pivovarov,
More informationNeutrino wave function and oscillation suppression.
Neutrino wave function and oscillation suppression. A.D. Dolgov a,b, O.V. Lychkovskiy, c, A.A. Mamonov, c, L.B. Okun a, and M.G. Schepkin a a Institute of Theoretical and Experimental Physics 11718, B.Cheremushkinskaya
More informationMeasurement of beam polarisation and beam energy in one device
58th ICFA Advanced Beam Dynamics Workshop on High Luminosity Circular e + e Colliders 24-27 October 26, Cockcroft Institute at Daresbury Laboratory, UK Measurement of beam polarisation and beam energy
More informationLepton pair production by high-energy neutrino in an external electromagnetic field
Yaroslavl State University Preprint YARU-HE-00/03 hep-ph/000316 Lepton pair production by high-energy neutrino in an external electromagnetic field A.V. Kuznetsov, N.V. Mikheev, D.A. Rumyantsev Division
More informationarxiv:hep-ph/ v2 1 Feb 2000
Final-state interaction phase difference in J/ψ ρη and ωη decays arxiv:hep-ph/991393v 1 Feb 000 N.N. Achasov and V.V. Gubin Laboratory of Theoretical Physics, Sobolev Institute for Mathematics, Academician
More informationarxiv:hep-lat/ v6 11 Dec 2003
ITEP-LAT/2003-32 A hidden symmetry in the Standard Model B.L.G. Bakker a, A.I. Veselov b, M.A. Zubkov b arxiv:hep-lat/0301011v6 11 Dec 2003 a Department of Physics and Astronomy, Vrije Universiteit, Amsterdam,
More informationElementary processes in the presence of super-intense laser fields; beyond perturbative QED
Elementary processes in the presence of super- ; beyond perturbative QED University of Bucharest, Faculty of Physics madalina.boca@g.unibuc.ro 30 June 2016 CSSP 2016, June 26-July 09, Sinaia 1 Overview
More informationarxiv:hep-ph/ v1 4 Feb 1997
DOUBLE SPIN TRANSVERSE ASYMMETRIES IN DRELL YAN PROCESSES V. Barone a,b, T. Calarco c and A. Drago c a Dipartimento di Fisica Teorica, Università di Torino and INFN, Sezione di Torino, 10125 Torino, Italy
More informationEnergy-energy and transversal energy-energy correlations in e + e and pp collisions
Energy-energy and transversal energy-energy correlations in e + e and pp collisions A. Ali, 1, E. A. Kuraev, 2, 1 DESY, Hamburg, Germany 2 JINR, BLTP, Dubna, Moscow region, Russia July 14, 2013 A. Ali,
More informationASYMPTOTIC BEHAVIOR OF NUCLEON ELECTROMAGNETIC FORM FACTORS IN SPACE- AND TIME-LIKE REGIONS
ASYMPTOTIC BEHAVIOR OF NUCLEON ELECTROMAGNETIC FORM FACTORS IN SPACE- AND TIME-LIKE REGIONS Egle Tomasi-Gustafsson (1) and Michail P. Rekalo (2) (1) DAPNIA/SPhN, CEA/Saclay, 91191 Gif-sur-Yvette Cedex,
More informationarxiv:hep-ph/ v1 22 Dec 2000
ON THE σ L /σ T RATIO IN POLARIZED VECTOR MESON PHOTOPRODUCTION S.V.Golosoov Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 980, Moscow region, Russia E-mail:
More informationTriangle diagrams in the Standard Model
Triangle diagrams in the Standard Model A. I. Davydychev and M. N. Dubinin Institute for Nuclear Physics, Moscow State University, 119899 Moscow, USSR Abstract Method of massive loop Feynman diagrams evaluation
More informationSLAC{PUB{7776 October 1998 Energy Spectrum of Electron-Positron Pairs Produced via the Trident Process, with Application to Linear Colliders in the De
SLAC{PUB{7776 October 1998 Energy Spectrum of Electron-Positron Pairs Produced via the Trident Process, with Application to Linear Colliders in the Deep Quantum Regime Kathleen A. Thompson and Pisin Chen
More information2 Feynman rules, decay widths and cross sections
2 Feynman rules, decay widths and cross sections 2.1 Feynman rules Normalization In non-relativistic quantum mechanics, wave functions of free particles are normalized so that there is one particle in
More informationarxiv: v1 [hep-th] 10 Dec 2015
arxiv:52.03203v [hep-th] 0 Dec 205 Influence of an Electric Field on the Propagation of a Photon in a Magnetic field V.M. Katkov Budker Institute of Nuclear Physics, Novosibirsk, 630090, Russia e-mail:
More informationDoes the E791 experiment have measured the pion wave function. Victor Chernyak. Budker Institute of Nuclear Physics, Novosibirsk, Russia
Does the E791 experiment have measured the pion wave function profile? Victor Chernyak Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia Abstract The cross section of hard diffractive dissociation
More informationThe Interaction of Three Fields in ECE Theory: The Inverse Faraday Effect
8 The Interaction of Three Fields in ECE Theory: The Inverse Faraday Effect by Myron W. Evans, Alpha Institute for Advanced Study, Civil List Scientist. (emyrone@aol.com and www.aias.us) Abstract The simultaneous
More informationInstantons and Monopoles in Maximal Abelian Projection of SU(2) Gluodynamics
ITEP-95-34 hep-th/9506026 arxiv:hep-th/9506026v2 11 Jun 1995 Instantons and Monopoles in Maximal Abelian Projection of SU(2) Gluodynamics M.N. Chernodub and F.V. Gubarev ITEP, Moscow, 117259, Russia and
More informationApplied Nuclear Physics (Fall 2006) Lecture 19 (11/22/06) Gamma Interactions: Compton Scattering
.101 Applied Nuclear Physics (Fall 006) Lecture 19 (11//06) Gamma Interactions: Compton Scattering References: R. D. Evans, Atomic Nucleus (McGraw-Hill New York, 1955), Chaps 3 5.. W. E. Meyerhof, Elements
More informationarxiv:hep-ph/ v2 2 May 1997
PSEUDOSCALAR NEUTRAL HIGGS BOSON PRODUCTION IN POLARIZED γe COLLISIONS arxiv:hep-ph/961058v May 1997 M. SAVCI Physics Department, Middle East Technical University 06531 Ankara, Turkey Abstract We investigate
More informationMAGNETIC MOMENT OF THE TWO-PARTICLE BOUND STATE IN QUANTUM ELECTRODYNAMICS 1
Preprint SSU-HEP-00/09 Samara State University MAGNETIC MOMENT OF THE TWO-PARTICLE BOUND STATE IN QUANTUM ELECTRODYNAMICS R.N. Faustov Scientific Council Cybernetics RAS 7, Moscow, Vavilov, 40, Russia,
More informationHelicity conservation in Born-Infeld theory
Helicity conservation in Born-Infeld theory A.A.Rosly and K.G.Selivanov ITEP, Moscow, 117218, B.Cheryomushkinskaya 25 Abstract We prove that the helicity is preserved in the scattering of photons in the
More informationMEASUREMENT OF THE PROTON ELECTROMAGNETIC FORM FACTORS AT BABAR arxiv: v1 [hep-ex] 29 Nov 2013
MEASUREMENT OF THE PROTON ELECTROMAGNETIC FORM FACTORS AT BABAR arxiv:1311.7517v1 [hep-ex] 29 Nov 213 V. P. Druzhinin, on behalf of the BABAR Collaboration Budker Institute of Nuclear Physics SB RAS, Novosibirsk
More informationABSTRACT. A N 1 (x, Q2 )=(1+γ 2 ) gn 1 (x, Q2 ) F N 1 (x, Q2 )
hep-ph/0302101 The constraints on the non-singlet polarised parton densities from the infrared-renormalon model A.L. Kataev Institute for Nuclear Research of the Academy of Sciences of Russia, 117312,
More informationStudy of Inclusive Jets Production in ep Interactions at HERA
HEP 003 Europhysics Conference in Aachen, Germany Study of Inclusive Jets Production in ep Interactions at HERA Mónica Luisa Vázquez Acosta Universidad Autónoma de Madrid On behalf of the ZEUS & H1 Collaborations
More informationThe boundary state from open string fields. Yuji Okawa University of Tokyo, Komaba. March 9, 2009 at Nagoya
The boundary state from open string fields Yuji Okawa University of Tokyo, Komaba March 9, 2009 at Nagoya Based on arxiv:0810.1737 in collaboration with Kiermaier and Zwiebach (MIT) 1 1. Introduction Quantum
More informationSubcritical Fission Reactor and Neutrino Factory Based on Linear Collider
2005 International Linear Collider Workshop - Stanford, U.S.A. Subcritical Fission Reactor and Neutrino Factory Based on Linear Collider I. F. Ginzburg Sobolev Institute of Mathematics and Novosibirsk
More informationarxiv:hep-ph/ v1 18 Nov 1996
TTP96-55 1 MPI/PhT/96-122 hep-ph/9611354 November 1996 arxiv:hep-ph/9611354v1 18 Nov 1996 AUTOMATIC COMPUTATION OF THREE-LOOP TWO-POINT FUNCTIONS IN LARGE MOMENTUM EXPANSION K.G. Chetyrkin a,b, R. Harlander
More informationVirtual observation of the Unruh effect
*Instituto de Física Teórica (IFT) - UNESP 03/03/2017 Outline What is the Unruh effect? What does it mean to observe the Unruh effect? The Unruh effect and Larmor radiation. Quantum field theory reminder
More information1 Why laser acceleration?
Quantum Field Theory of the Laser Acceleration Miroslav Pardy Department of Theoretical Physics and Astrophysics, Masaryk University, Faculty of Science, Kotlářská, 611 37 Brno, Czech Republic e-mail:pamir@physics.muni.cz
More informationNonresonant Transparency Channels of a Two-Barrier Nanosystem in an Electromagnetic Field with an Arbitrary Strength
ISSN 0021-3640, JETP Letters, 2012, Vol. 95, No. 5, pp. 271 276. Pleiades Publishing, Inc., 2012. Original Russian Text N.V. Tkach, Yu.A. Seti, 2012, published in Pis ma v Zhurnal Eksperimental noi i Teoreticheskoi
More informationCERN Accelerator School. Intermediate Accelerator Physics Course Chios, Greece, September Low Emittance Rings
CERN Accelerator School Intermediate Accelerator Physics Course Chios, Greece, September 2011 Low Emittance Rings Part 1: Beam Dynamics with Synchrotron Radiation Andy Wolski The Cockcroft Institute, and
More informationNonlinear Quantum Electrodynamics
Nonlinear Quantum Electrodynamics Nikolay B. Narozhny National Research Nuclear University MEPHI, Russia Résidence de France Moscou, 26 avril 2013 Today, two exawatt class facilities in Europe are already
More informationarxiv:hep-ph/ v1 29 Oct 2005
1 Electroproduction of two light vector mesons in next-to-leading BFKL D.Yu. Ivanov 1 and A. Papa arxiv:hep-ph/0510397v1 9 Oct 005 1 Sobolev Institute of Mathematics, 630090 Novosibirsk, Russia Dipartimento
More informationarxiv:hep-ph/ v1 22 Dec 1999
DTP/99/4 DAMTP-999-79 Cavendish-HEP-99/9 BFKL Dynamics at Hadron Colliders arxiv:hep-ph/992469v 22 Dec 999 Carlo Ewerz a,b,, Lynne H. Orr c,2, W. James Stirling d,e,3 and Bryan R. Webber a,f,4 a Cavendish
More informationγ+e γ+e Section 14.4 Compton scattering CHAPTER 14 - APPLICATIONS : QED OUTLINE of the chapter
CHAPTER 14 - APPLICATIONS : QED OUTLINE of the chapter 14.1 Scattering in a Coulomb field 14.2 Form factors 14.3 The Rosenbluth formula 14.4 Compton scattering 14.5 Inverse Compton scattering 14.6 Processes
More informationDifferent approaches to calculate the K ± π ± π 0 e + e decay width
Eur. Phys. J. C 014 74:860 DOI 10.1140/epjc/s1005-014-860-0 Regular Article - Theoretical Physics Different approaches to calculate the K ± ± 0 e + e decay width S. R. Gevorkyan a,m.h.misheva Joint Institute
More informationarxiv: v1 [physics.atom-ph] 21 Nov 2013
Shape effects in nonlinear Thomson and Compton processes: the quest for MeV high-order harmonics arxiv:3.5374v [physics.atom-ph] Nov 3 M Twardy, K Krajewska and J Z Kamiński Faculty of Electrical Engineering,
More informationTHE SEARCH OF LARGE CROSS SECTION ASYMMETRIES IN THE PAIR PRODUCTION PROCESS BY POLARIZED PHOTONS 1
THE SEARCH OF LARGE CROSS SECTION ASYMMETRIES IN THE PAIR PRODUCTION PROCESS BY POLARIZED PHOTONS 1 R.O.Avakian a, K.R.Dallakyan b and S.M.Darbinyan c Yerevan Physics Institute, Yerevan, 375036, Armenia
More informationExperimental results on nucleon structure Lecture I. National Nuclear Physics Summer School 2013
Experimental results on nucleon structure Lecture I Barbara Badelek University of Warsaw National Nuclear Physics Summer School 2013 Stony Brook University, July 15 26, 2013 Barbara Badelek (Univ. of Warsaw
More informationCHAPTER 2 ELECTRON-PROTON COLLISION
CHAPTER ELECTRON-PROTON COLLISION.1 Electron-proton collision at HERA The collision between electron and proton at HERA is useful to obtain the kinematical values of particle diffraction and interaction
More information6. QED. Particle and Nuclear Physics. Dr. Tina Potter. Dr. Tina Potter 6. QED 1
6. QED Particle and Nuclear Physics Dr. Tina Potter Dr. Tina Potter 6. QED 1 In this section... Gauge invariance Allowed vertices + examples Scattering Experimental tests Running of alpha Dr. Tina Potter
More informationLaser-assisted Mott scattering in the Coulomb approximation
INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS B: ATOMIC, MOLECULAR AND OPTICAL PHYSICS J. Phys. B: At. Mol. Opt. Phys. 37 (2004) 653 663 PII: S0953075(04)68134-X Laser-assisted Mott scattering in
More informationarxiv: v1 [hep-ph] 26 Oct 2010
: finite size effects arxiv:1010.5505v1 [hep-ph] 6 Oct 010 Thomas Heinzl School of Computing and Mathematics, University of Plymouth E-mail: t.heinzl@plymouth.ac.uk Department of Physics, Umeå University
More informationarxiv:hep-ph/ v1 10 Sep 2002
WUE-ITP-2002-022 hep-ph/0209 arxiv:hep-ph/020908v 0 Sep 2002 Chargino Production and Decay in Photon-Photon-Collisions T. Mayer, C. Blöchinger, F. Franke 2, H. Fraas 3 Institut für Theoretische Physik
More informationarxiv: v3 [hep-ph] 14 Nov 2017
scattering in ultrarelativistic UPC arxiv:7.868v [hep-ph] 4 Nov 07 Institute of Nuclear Physics Polish Academy of Sciences, PL-4 Krakow, Poland E-mail: Antoni.Szczurek@ifj.edu.pl Mariola Kłusek-Gawenda
More informationPHYS 771, Quantum Mechanics, Final Exam, Fall 2011 Instructor: Dr. A. G. Petukhov. Solutions
PHYS 771, Quantum Mechanics, Final Exam, Fall 11 Instructor: Dr. A. G. Petukhov Solutions 1. Apply WKB approximation to a particle moving in a potential 1 V x) = mω x x > otherwise Find eigenfunctions,
More informationLASER-COMPTON SCATTERING AS A POTENTIAL BRIGHT X-RAY SOURCE
Copyright(C)JCPDS-International Centre for Diffraction Data 2003, Advances in X-ray Analysis, Vol.46 74 ISSN 1097-0002 LASER-COMPTON SCATTERING AS A POTENTIAL BRIGHT X-RAY SOURCE K. Chouffani 1, D. Wells
More informationarxiv:hep-ph/ v1 25 Jun 1999
DESY 99 077 TTP99 29 June 1999 arxiv:hep-ph/9906503v1 25 Jun 1999 Azimuthal Asymmetries in Hadronic Final States at HERA M. Ahmed a,b and T. Gehrmann c a II. Institut für Theoretische Physik, Universität
More informationarxiv:hep-ex/ v2 23 Mar 2005
Possible Observation of Photon Speed Energy Dependence V. Gharibyan arxiv:hep-ex/0303010v2 23 Mar 2005 Abstract Yerevan Physics Institute, Armenia Current constraints on photon velocity variability are
More informationPolarization Correlation in the Gamma- Gamma Decay of Positronium
Polarization Correlation in the Gamma- Gamma Decay of Positronium Bin LI Department of Physics & Astronomy, University of Pittsburgh, PA 56, U.S.A April 5, Introduction Positronium is an unstable bound
More informationarxiv:hep-ph/ v1 29 May 2000
Photon-Photon Interaction in a Photon Gas Markus H. Thoma Theory Division, CERN, CH-1211 Geneva, Switzerland and Institut für Theoretische Physik, Universität Giessen, 35392 Giessen, Germany arxiv:hep-ph/0005282v1
More informationHigh energy X-ray vortex generation using inverse Compton scattering
22nd International Spin Symposium 9/28/216 High energy X-ray vortex generation using inverse Compton scattering Yoshitaka Taira National Institute of Advanced Industrial Science and Technology (AIST),
More informationSimulation of Laser-Compton cooling of electron beams for future linear colliders. Abstract
Simulation of Laser-Compton cooling of electron beams for future linear colliders T. Ohgaki Lawrence Berkeley National Laboratory Berkeley, California 94720, USA and Venture Business Laboratory, Hiroshima
More informationForm Factors from Polarised Proton Antiproton Annihilation to Massive Lepton Pairs
Form Factors from Polarised Proton Antiproton Annihilation to Massive Lepton Pairs N. Buttimore and E. Jennings Hamilton Hall, Trinity College Dublin, Ireland 7 September 009 Abstract General expressions
More informationPhysics 214 Midterm Exam Solutions Winter 2017
Physics 14 Midterm Exam Solutions Winter 017 1. A linearly polarized electromagnetic wave, polarized in the ˆx direction, is traveling in the ẑ-direction in a dielectric medium of refractive index n 1.
More informationarxiv:hep-ph/ v1 30 Oct 2002
DESY 02-179 hep-ph/0210426 Calculating two- and three-body decays with FeynArts and FormCalc Michael Klasen arxiv:hep-ph/0210426v1 30 Oct 2002 II. Institut für Theoretische Physik, Universität Hamburg,
More informationarxiv:hep-ex/ v1 14 Sep 1999
ANL-HEP-CP-99-99 September, 1999 Short-Range and Long-Range Correlations in DIS at HERA 1 arxiv:hep-ex/99926v1 14 Sep 1999 S.V. Chekanov Argonne National Laboratory, 97 S.Cass Avenue, Argonne, IL 6439
More informationExtensions of the Longitudinal Envelope Equation
Extensions of the Longitudinal Envelope Equation David Neuffer A ccelerator Physics Group Fermilab, PO Box 500, Batavia IL 6050 Introduction Recently, longitudinal space charge effects have become of increased
More informationJackson, Classical Electrodynamics, Section 14.8 Thomson Scattering of Radiation
High Energy Cross Sections by Monte Carlo Quadrature Thomson Scattering in Electrodynamics Jackson, Classical Electrodynamics, Section 14.8 Thomson Scattering of Radiation Jackson Figures 14.17 and 14.18:
More informationK-shell Compton scattering at high photon energy
K-shell Compton scattering at high photon energy Viorica Florescu* Department of Physics and Centre for Advanced Quantum Physics, University of Bucharest, MG-, Bucharest-Măgurele 775, Romania R. H. Pratt
More informationLow Emittance Machines
Advanced Accelerator Physics Course RHUL, Egham, UK September 2017 Low Emittance Machines Part 1: Beam Dynamics with Synchrotron Radiation Andy Wolski The Cockcroft Institute, and the University of Liverpool,
More informationVectors in Special Relativity
Chapter 2 Vectors in Special Relativity 2.1 Four - vectors A four - vector is a quantity with four components which changes like spacetime coordinates under a coordinate transformation. We will write the
More informationarxiv:hep-th/ v1 19 Dec 2005 Abstract
The radiation reaction effects in the BMT model of spinning charge and the radiation polarization phenomenon S.L. Lebedev 1) Department of Physics, Chuvash State Pedagogical University, Cheboksary, 428000,
More informationarxiv:hep-th/ v1 24 Feb 2003
SINP-TNP/03-03 Hidden Degeneracy in the Brick Wall Model of Black Holes arxiv:hep-th/0302183v1 24 Feb 2003 Kumar S. Gupta 1 Theory Division Saha Institute of Nuclear Physics 1/AF Bidhannagar Calcutta -
More informationarxiv:hep-th/ v2 11 Sep 1996
Gauge Independence of the Lagrangian Path Integral in a Higher-Order Formalism arxiv:hep-th/9609037v2 Sep 996 I.A. Batalin I.E. Tamm Theory Division P.N. Lebedev Physics Institute Russian Academy of Sciences
More informationarxiv: v1 [hep-ph] 31 Jan 2018
Noname manuscript No. (will be inserted by the editor) Polarization and dilepton angular distribution in pion-nucleon collisions Miklós Zétényi Enrico Speranza Bengt Friman Received: date / Accepted: date
More information