Polarization observables and T-noninvariance in the weak charged current induced electron proton scattering

Abstract

In this work, we have studied the total scattering cross section ($\sigma$), differential scattering cross section ($d\sigma /d{Q}^2$) as well as the longitudinal ($P_L(E_e,Q^2)$), perpendicular ($P_P(E_e,Q^2)$), and transverse ($P_T(E_e,Q^2)$) components of the polarization of the final hadron ($n$, $\Lambda$ and ${\Sigma }^0$) produced in the electron proton scattering induced by the weak charged current. We have not assumed T-invariance which allows the transverse component of the hadron polarization perpendicular to the production plane to be non-zero. The numerical results are presented for all the above observables and their dependence on the axial vector form factor and the weak electric form factor are discussed. The present study enables the determination of the axial vector nucleon-hyperon transition form factors at high $Q^2$ in the strangeness sector which can provide test of the symmetries of the weak hadronic currents like T-invariance and SU(3) symmetry while assuming the hypothesis of conserved vector current and partial conservation of axial vector current.

16 pages, 11 figures and regular paper

References in corpus (4)

• A new parameterization of the nucleon elastic form factors
• Nuclear effects on lepton polarization in charged-current quasielastic neutrino scattering
• Quasielastic production of polarized hyperons in antineutrino--nucleon reactions
• Weak quasielastic electroproduction of hyperons with polarization observables

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• Axial and pseudoscalar form factors from charged current quasielastic neutrino-nucleon scattering
• ${\bar{\nu }}_{\mu }$ induced quasielastic production of hyperons leading to pions
• Spin asymmetry in single pion production induced by weak interactions of neutrinos with polarized nucleons
• Hyperon production in quasielastic ${\bar{\nu }}_{\tau }-$nucleon scattering
• Neutrino-nucleon elastic scattering in presence of non-standard interactions: cross sections and nucleon polarizations