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

Abstract

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

Asymptotic of the electric structure function and the deuteron wave function

“…4. The following numerical calculations of the ratio B/A for momentums up p=12 fm −1 [39,65], the tensor t 2j and vector t 1i polarizations [5], the spin correlation coefficients and tensor asymmetries [6] and other polarization observables taking into account the behaviour of the electric structure function are promising.…”

“…We note another important feature of the knowledge of the electric structure function A(p). It is a component in tensor t 2j and vector t 1i polarizations [5], in the spin correlation coefficients and tensor asymmetries [6], and other polarization observables in processes with the participation of deuteron. The value A(p) appears in the factor S(p, θ e ) = A(p) + B(p)tg 2 (θ e /2), where θ e is the electron scattering angle in the laboratory system.…”

Deuteron wave function for Reid93 potential and polarization observables in elastic lepton–deuteron scattering

“…Here A ij -the asymmetries induced by the tensor polarization of the deuteron target. The asymmetries in the limit of zero lepton mass is written in terms of the deuteron electromagnetic form factors [23]:…”

“…If the Z axis is directed along the virtual photon momentum, then the asymmetries due to the tensor polarization of the deuteron target have such a form [23] A α = T αβ (ψ)A β .…”

“…1) the spin correlation coefficients (6)- (7); 2) two nonzero spin correlation coefficients (9)-(10); 3) the tensor asymmetries (11)- (13). All of the aforementioned formulas for an unpolarized differential crosssection and polarization observables with consideration the lepton mass for elastic lepton-deuteron scattering are cited from paper [23]. There are described expressions for asymmetries owing to the tensor polarization of the deuteron target and the spin correlation coefficients owing to the lepton beam polarization and vector polarization of the deuteron target.…”