Polarization effects in elastic proton-electron scattering

Gakh, G. I.; Dbeyssi, A.; Tomasi–Gustafsson, E.

doi:10.1103/physrevc.84.015212

Cited by 13 publications

(16 citation statements)

References 19 publications

(30 reference statements)

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“…Usual special reference frames have been chosen for the consideration of specific polarization observables. More recently, Gakh et al [10] have studied polarization effects in elastic protonelectron scattering, which on a formal basis is equivalent to electron-proton scattering. They have considered three types of polarization observables: outgoing proton polarization transferred either from a polarized target electron or from an incoming polarized proton, and the beam target asymmetry from polarized beam and target.…”

Section: Introductionmentioning

confidence: 99%

Polarization observables for elastic electron scattering off a moving nucleon

Arenhövel

2019

Phys. Rev. C

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General expressions for all parity-conserving polarization observables of elastic electron-nucleon scattering in the one-photon exchange approximation are derived for a general frame of reference, i.e. not assumming scattering off a nucleon at rest and not specializing to a specific system of coordinates. Essentially, the given expressions are also valid for the inverse process, i.e. nucleon scattering off electrons. PACS numbers: 25.30.Bf, 13.60.Fz, 13.88.+e 1 The symbolv means | v| where it is needed to distinguish it from the four vector v = (v 0 , v ). 2 We use the Einstein convention for summations over greek indices of four-vectors and four-tensors.

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Section: Introductionmentioning

confidence: 99%

Polarization observables for elastic electron scattering off a moving nucleon

Arenhövel

2019

Phys. Rev. C

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“…[5] it was shown that polarization observables are very small at small energy, making very difficult their measurement. Therefore, the application of the polarization method [12] to inverse kinematics seems very challenging at low energy.…”

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confidence: 99%

“…[5]. It has been shown that for a given energy of the proton beam, the maximum value of the four-momentum transfer squared is:…”

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confidence: 99%

Proton-electron elastic scattering and the proton charge radius

Gakh¹,

Dbeyssi²,

Tomasi–Gustafsson³

2013

Phys. Part. Nuclei Lett.

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It is suggested that proton elastic scattering on atomic electrons allows a precise measurement of the proton charge radius. Very small values of transferred momenta (up to four order of magnitude smaller than the ones presently available) can be reached with high probability. PACS numbers:The problem of the proton size has been recently object of large interest, due to the recent experiment on muonic hydrogen by laser spectroscopy measurement of the νp(2S-2P) transition frequency [1]. The result on the proton charge radius r c = 0.84184(67) obtained in this experiment is one order of magnitude more precise but smaller by five standard deviation compared to the best value previously assumed r c = 0.8768(69) fm [2] (CODATA). Previous best measurements include techniques based on H spectroscopy, which are more precise, but compatible with electron proton elastic scattering at small values of the four momentum transfer squared Q 2 . The most recent result from electron proton elastic scattering, r c = 0.879(5) stat (4) syst (2) model (4) group fm, can be found in Ref. [3].While corrections to the laser spectroscopy experiments seem well under control in frame of QED and may be estimated with a precision better than 0.1%, in case of ep elastic scattering the best precision which has been achieved is of the order of few percent. Different sources of possible systematic errors to the muonic experiment have been discussed, however no definite explanation of this difference has been given yet (see Ref.[4] and References therein).Recent works have been devoted to the scattering of a proton projectile on an electron target (see Ref.[5] and references therein). The possibility to build beam polarimeters for high-energy polarized (anti)proton beams has been shown [6]. Experiments have been done [7,8], and are ongoing with the aim to understand the experimental fact that a proton beam circulating through a polarized hydrogen target gets polarized [9]. The possibility to polarize antiprotons beams would open a wide domain of polarization studies at the GSI facility for Antiproton and Ion Research (FAIR) [10,11]. Assuming C-invariance in electromagnetic interactions, the (elastic and inelastic) reactions p + e − andp + e + are strictly equivalent.In Ref.[5], the cross section and the polarization observables for proton electron elastic scattering, in a relativistic approach assuming the Born approximation, was derived. The relations connecting kinematical variables in direct and inverse kinematics were given. In particular, it was shown that large polarization effects appear at beam energies around 15 GeV. Moreover the transferred momenta are very small even when the proton energy is in the GeV range. In this work we focus on the second issue and apply to the problem of a precise and consistent determination of the proton radius. The kinematics of proton-electron scattering is extremely peculiar and interesting in this respect. In the elastic interaction between a proton and an electron, assuming that the interaction occurs th...

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“…But the lepton mass cannot always be neglected: besides the present case, where the energy is of the order of the muon mass, the terms related to the lepton mass have a large effect at high energies in case of inverse kinematics as proton-electron scattering, which is object of Ref. [25], as well as in the crossed channel, the antiproton annihilation into a lepton pair [26]) o f interest for the antiproton annihilation experiment at the GSI Facility for Antiproton and Ion Research (PANDA at FAIR). In this respect, the subject of the present paper is relevant to other elementary processes.…”

Section: Discussionmentioning

confidence: 98%

“…Besides the change in the kinematical variables, this is due to the presence of k\ in the denominator of Eq. (25) and to the additional terms accompanying the structure functions [see Eqs. (27) and (29)].…”

Section: B Parametrization Of Deuteron Form Factorsmentioning

confidence: 99%

Polarization observables in lepton-deuteron elastic scattering including the lepton mass

Gakh

Tomasi–Gustafsson

2014

Phys. Rev. C

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International audienceExpressions for the unpolarized differential cross section and for various polarization observables in the lepton-deuteron elastic scattering, ℓ+D→ℓ+D,ℓ=e,μ,τ, have been obtained in the one-photon-exchange approximation, taking into account the lepton mass. Polarization effects have been investigated for the case of a polarized lepton beam and polarized deuteron target which can have vector or tensor polarization. Numerical estimations of the lepton mass effects have been done for the unpolarized differential cross section and for some polarization observables and applied to the case of low-energy muon deuteron elastic scattering

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Polarization effects in elastic proton-electron scattering

Cited by 13 publications

References 19 publications

Polarization observables for elastic electron scattering off a moving nucleon

Polarization observables for elastic electron scattering off a moving nucleon

Proton-electron elastic scattering and the proton charge radius

Polarization observables in lepton-deuteron elastic scattering including the lepton mass

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