Abstract
The differential cross section for the elastic scattering of unpolarized protons on unpolarized electrons at rest is calculated taking into account two mechanisms: one-photon and scalar-boson exchange. The spin correlation coefficients, when the proton beam and the electron target are both arbitrarily polarized, have also been calculated. These observables are calculated in terms of the proton electromagnetic form factors, namely magnetic and electric ones. Some peculiarities of the inverse kinematics (the mass of the colliding particle is larger than mass of the target particle) have been discussed. It was shown that all the spin correlation coefficients in the elastic proton electron collisions are proportional to the proton magnetic form factor. The same behaviour takes place for the spin correlation coefficients in the elastic electron proton scattering (the electron beam and proton target are both polarized). It was shown that only the interference of the two mechanisms (one-photon and one-boson) gives nonzero contribution to the spin correlation coefficients. If the spin vectors of the proton beam and electron target lie in the reaction plane then the corresponding spin correlation coefficients are zero for the case when scattered electron momentum is in the direction of the proton beam momentum.
Highlights
Обчислене диференційний переріз для пружного розсіювання неполяризованих протонів на неполяризованих електронах у спокою з врахуванням двох механізмів: обміну одним фотоном та скалярним бозоном
It was shown that polarimeter based on the elastic proton electron scattering gives a good opportunity to reliably measure as the longitudinal proton beam polarization as transverse
The differential cross section for the elastic scattering of protons on electrons at rest is calculated taking into account the one photon and scalar boson exchange
Summary
The differential cross section for the elastic scattering of unpolarized protons on unpolarized electrons at rest is calculated taking into account two mechanisms: one-photon and scalar-boson exchange. Така ж поведінка має місце для коефіцієнтів кореляції спінів у пружному електрон протонному розсіянні (електронний пучок та протон мішені обидві поляризовані). Что все коэффициенты корреляции спинов в упругом протон электронном столкновении пропорциональны магнитному формфактору протона. Что только интерференция двух механизмов (однофотонного и однобозонного) дают ненулевой вклад в коэффициенты корреляции спинов. The differential cross section for the elastic scattering of protons on electrons at rest is calculated taking into account the one photon and scalar boson exchange. Purpose of our research is to calculate the differential cross section for the elastic scattering of unpolarized protons on unpolarized electrons at rest taking into account two mechanisms: one-photon and scalar-boson exchange. The spin correlation coefficients, when the proton beam and the electron target are both arbitrarily polarized, have been calculated
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