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 e⁺e⁻ → h₁h₂γ where h₁ and h₂ are some hadrons for the case of the collinear photon, emitted in the initial state, has been calculated. As h₁h₂ final state we considered some channels, namely: two spinless mesons (for example,π⁺π⁻K⁺K⁻), two spin–one particles (for example, ρ⁺ρ⁻d⁺d⁻), and the channels πa₁ (1260) and Δ(1232)N . The photon energy distributions are calculated in terms of the form factors of the γ* → h₁h₂ transition (γ* is the virtual photon).
Highlights
F F q2 4M 2The differential cross section of the e e N N reaction, for the case of the polarized electron beam and unpolarized positron beam, can be written as follows in the reaction centre of mass system (CMS)
The emission of the hard photon from the initial state is considered
The photon energy distributions are calculated in terms of the form factors of the hh 12 transition (
Summary
The differential cross section of the e e N N reaction, for the case of the polarized electron beam and unpolarized positron beam, can be written as follows in the reaction centre of mass system (CMS). The contraction of the leptonic and hadronic tensors, in the case of unpolarized initial beams and produced nucleon and antinucleon, can be written as. Unlike the elastic electron–nucleon scattering in the Born approximation, the hadronic tensor H (1) in the time–like region contains the symmetric part even in the Born approximation due to the complexity of the nucleon form factors This term leads to the non–zero polarization of the outgoing nucleon (the initial state is unpolarized) in the e e N N reaction and it can be written as. If we measure the nucleon scattering angle and variables of the emitted photon, we can obtain the following distribution d d d d [W The dependence of this expression on the azimuthal angle is due to the denominators t and t 2. Has the following expressions for a particular choice nucleon polarization four–vectors (in the reaction CMS)
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