POLARIZATION PHENOMENA IN PROCESS e⁺+e⁻ → N+Ñ+γ

Keywords: polarization phenomena, electron, nucleon, radiative return, form factors, hard photon

Abstract

The emission of the hard photon from the initial state is considered. The nucleon polarization and the differential cross sections for some experimental conditions have been calculated. The case of the emission of the collinear (with respect to the direction of the electron beam momentum) photon is considered separately. The differential cross section, the nucleon polarization, the correlation coefficients for both polarized nucleons (provided the electron beam is unpolarized or longitudinally polarized), the transfer polarization from the longitudinally polarized electron beam to the nucleon have been calculated. The photon energy distribution for the reaction ee⁻ → hhγ where h₁ and h₂ are some hadrons for the case of the collinear photon, emitted in the initial state, has been calculated. As hh₂ final state we considered some channels, namely: two spinless mesons (for example,ππK⁺K⁻), two spin–one particles (for example, ρ⁺ρ⁻d⁺d⁻), and the channels πa₁ (1260) and Δ(1232)Ñ . The photon energy distributions are calculated in terms of the form factors of the γ* → hh transition (γ* is the virtual photon).

Downloads

Download data is not yet available.

Author Biographies

G. I. Gakh, NSC ”Kharkov Institute of Physics and Technology”

Akademicheskaya, 1, 61108 Kharkov, Ukraine; Correspondind author: genagakh@gmail.com

M. I. Konchatnij, NSC ”Kharkov Institute of Physics and Technology”

Akademicheskaya, 1, 61108 Kharkov, Ukraine

N. P. Merenkov, NSC ”Kharkov Institute of Physics and Technology”

Akademicheskaya, 1, 61108 Kharkov, Ukraine

A. G. Gakh, V.N. Karazin Kharkiv National University,

Sq. Svobody 4, 61022 Kharkov, Ukraine

References

Pacetti S., Baldini Ferroli R., Tomasi-Gustafsson E. Proton electromagnetic form factors: Basic notions, present achievements and future perspectives // Phys. Rep. – 2015. – Vol.550-551. – P.1-103.

Rosenbluth M.N. High Energy Elastic Scattering of Electrons on Protons // Phys. Rev. – 1950. – Vol.79. – P.615-619.

Arnold R.G. et al. Measurement of the Electron-Deuteron Elastic Scattering Cross-Section in the Range // Phys. Rev. Lett. – 1975. – Vol.35. – P.776.

Jones M. K. et al. ratio by polarization transfer in // Phys. Rev. Lett. – 2000. – Vol.84. – P.1398-1402.

Gayou O. et al Measurements of the elastic electromagnetic form-factor ratio via polarization transfer // Phys. Rev. – 2001. – Vol.C64. – 038202.

Gayou O. et al. Measurement of in to // Phys. Rev. Lett. – 2002. – Vol.88. – 092301.

Punjabi V. et al. Proton elastic form-factor ratios to by polarization transfer// Phys. Rev. – 2005. – Vol.C71. 055202.

Puckett A., Brash E., Jones M. et al., Recoil polarization measurements of the proton electromagnetic form factor ratio to = 8.5 GeV // Phys. Rev. Lett. – 2005. – Vol.104. – 242301.

Perdrisat C.F., Punjabi V., Vanderhaeghen M. Nucleon Electromagnetic Form Factors // Prog. Part. Nucl. Phys. – 2007. – Vol.59. – P.694-764.

Guichon P.A.M., Vanderhaeghen M. How to reconcile the Rosenbluth and the polarization transfer method in the measurement of the proton // Phys. Rev. Lett. – 2003. – Vol.91. – 142303.

Blunden P. G., Melnitchouk W, and Tjon J. A. Two photon exchange and elastic electron proton // Phys. Rev. Lett. – 2003. –Vol.91. – 142304.

Bystritskiy Yu.M., Kuraev E.A., Tomasi-Gustafsson E. Structure function method applied to polarized and unpolarized electron-proton scattering: A solution of the discrepancy // Phys. Rev. – 2007. – Vol.C75. – 015207.

Tomasi-Gustafsson E., Gakh G.I., Search for evidence of two photon contribution in elastic electron proton data // Phys. Rev. – 2005. –Vol.C72. – 015209.

Rekalo M.P., Tomasi-Gustafsson E. Model independent properties of two photon exchange in elastic electron proton scattering // Eur. Phys. J. – 2004. – Vol.A22. – P.331-336.

Rekalo M.P., Tomasi-Gustafsson E., Complete experiment in elastic scattering in presence of two-photon exchange // Nucl. Phys. – 2004. – Vol.A740. – P.271-286.

Rekalo M.P., Tomasi-Gustafsson E., Polarization phenomena in elastic scattering, for axial parametrization of two photon exchange// Nucl. Phys. – 2004. – Vol.A742. – P.332-334.

Gakh G.I., Tomasi-Gustafsson E., Polarization effects in the reaction in presence of two-photon exchange // Nucl. Phys. – 2005. – Vol.A761. – P.120-131.

Gakh G.I., Tomasi-Gustafsson E., General analysis of polarization phenomena in for axial parametrization of two-photon exchange // Nucl. Phys. – 2006. – Vol.A771. – P.169-183.

Bakulev A.P., Radyushkin A.V., Stefanis N.G., Form-factors and QCD in space - like and time - like // Phys. Rev. – 2000. – Vol.D62. – 113001.

Hammer H.-W., Meisner Ulf-G., Drechsel D., Dispersion theoretical analysis of the nucleon electromagnetic form-factors: Inclusion of timelike data // Phys. Lett. – 1996. – Vol. B385. – P.343-347.

Tomasi-Gustafsson E., Rekalo M.P., Search for evidence of asymptotic regime of nucleon electromagnetic form-factors from a compared analysis in space- and time - like regions // Phys. Lett. – 2001. – Vol.B504. – P.291-295.

Iachello F., Wan Q., Structure of the nucleon from electromagnetic timelike form factors // Phys. Rev. – 2004. – Vol.C69. 055204.

Bijker R., Iachello F., Structure of the nucleon from electromagnetic timelike form factors // Phys. Rev. – 2004. – Vol.C69. 068201.

Antonelli A. et al. The first measurement of the neutron electromagnetic form-factors in the timelike region // Nucl. Phys. – 1998. – Vol.B517. – P.3-35.

Andreotti M. et al., Measurements of the magnetic form-factor of the proton for timelike momentum transfers // Phys. Lett. – 2003. – Vol.B559. – P.20-25.

Pasqualucci E., FENICE results and a proposal for a new measurement of nucleon timelike form-factors // Prog. Part. Nucl. Phys. – 2000. – Vol.44. – P.175-184.

Filippi A., Precision measurements of the nucleon form factor in the time-like region with FINUDA at DAFNE2 // eConf C0309101. – 2003. – FRWP005.

Dubnickova A. Z., Dubnicka S., Rekalo M. P., Investigation of the nucleon electromagnetic structure by polarization effects in processes // Nuovo Cim. – 1996. – Vol.A109. – P.241-256.

Haidenbauer J., Kang X.-W., Meißner U. The electromagnetic form factors of the proton in the timelike region // Nucl.Phys. – 2014. – Vol. A929. – P.102-118.

Brodsky S.J., Carlson C.E., Hiller J.R., Hwang D.S. Single spin polarization effects and the determination of time - like proton form-factors // Phys. Rev. – 2004. – Vol.D69. – 054022.

Czyz H., Kuhn J.H., Nowak E., Rodrigo G. Nucleon form-factors, B meson factories and the radiative return // Eur. Phys. J. – 2004. – Vol.C35. – P.527536.

Gakh G.I., Merenkov N.P., QED corrections in deep-inelastic scattering from tensor polarized deuteron target // JETP Lett.-2001. – Vol.73. – P.579-583.

Afanasev A.V., Akushevich I., Gakh G.I., Merenkov N.P. Radiative corrections to polarized inelastic scattering in coincidence // JETP. – 2001. – Vol.93. – P.449-461.

Bonneau G., Martin F. Hard photon emission in reactions // Nucl. Phys. – 1971. – Vol.B27. – P.381-397.

Berends F.A, Kleiss R. Initial State Radiation for Annihilation Into Jets // Nucl. Phys. – 1981. – Vol.B178. – P.141-150.

Baier V.N., Fadin V.S., Khoze V.A. Quasireal electron method in high-energy quantum electrodynamics // Nucl. Phys. – 1973. – Vol.B65. – P.381-396.

Gakh G.I., Tomasi-Gustafsson E., Adamuscin C., Dubnicka S., Dubnickova A.Z. Polarization effects in and determination of time like deuteron form factors // Phys. Rev. – 2006. – Vol.C74. – 025202.

Adamuscin C., Gakh G.I., Tomasi-Gustafsson E. Polarization effects in the reaction and determination of the meson form factors in the time-like region // Phys. Rev. – 2007. – Vol.C75. – 065202.

Altukhov A.M., and Khriplovitch I. On multiple pion production in experiments with colliding electron- positron beams // Yad.Fiz. – 1972. – Vol.14. – P.783-787. (in Russian)

Kramer G., Walsh T.F., Quasi two body annihilation // Z.Phys. – 1973. – Vol.263. – P.361-386.

Published
2018-04-03
Cited
How to Cite
Gakh, G. I., Konchatnij, M. I., Merenkov, N. P., & Gakh, A. G. (2018). POLARIZATION PHENOMENA IN PROCESS e⁺+e⁻ → N+Ñ+γ. East European Journal of Physics, 5(1), 4-27. https://doi.org/10.26565/2312-4334-2018-1-01