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Sensitivity of tensor and vector analyzing powers in elastic e-d scattering to modern local and nonlocal NN potentials

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Abstract

In this study, the sensitivity of tensor-deuteron and beam-vector-deuteron analyzing powers in elastic e-d scattering to modern local and nonlocal NN potentials is investigated. We report numerical results for the tensor-deuteron (T20, T21, T22) and beam-vector-deuteron (T10, T11) analyzing powers as functions of the four-momentum transfer square \(Q^2\) and the electron scattering angle in the laboratory frame \(\theta _e\). This could be made possible with the advent of recent polarization measurements with polarized electron beams and polarized deuteron targets at MIT-Bates, JLab, NIKHEF, VEPP-2, and VEPP-3. We found that the estimated results for T20, T21, and T22 are slightly dependent on the local and nonlocal NN potential models adopted for the deuteron wave functions up to \(Q^2\simeq \) 0.5 (GeV/c)\(^2\). At \(Q^2>\) 0.5 (GeV/c)\(^2\), the theoretical discrepancies among various local and nonlocal NN potential models were found. As for the beam-vector-deuteron analyzing powers T10 and T11, we also found that they started to become model dependent when \(Q^2 > \) 0.5 (GeV/c)\(^2\). The considerable dependence of T10 and T11 on the local and nonlocal NN potential models was observed at extremely forward electron angles. The T10 analyzing power was found to be smaller than T11. Therefore, in addition to the single analyzing power T20, the double beam-vector-deuteron analyzing power T11 can be used as another tool for extracting the three deuteron form factors, which provide an intuitive picture of the internal structure of the deuteron. The predicted results for analyzing powers are also compared with the available experimental data and a satisfactory agreement was obtained.

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Authors and Affiliations

  1. Physics Department, Faculty of Science, Taibah University, Medina, 41411, Saudi Arabia

    E. M. Darwish, H. M. Abou-Elsebaa & E. M. Mahrous

  2. Physics Department, Faculty of Science, Sohag University, Sohag, 82524, Egypt

    E. M. Darwish & H. M. Abou-Elsebaa

  3. Physics Department, Faculty of Science, Qassim University, Buraydah, 51452, Saudi Arabia

    S. S. Al-Thoyaib

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  1. E. M. Darwish
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  2. H. M. Abou-Elsebaa
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Darwish, E.M., Abou-Elsebaa, H.M., Mahrous, E.M. et al. Sensitivity of tensor and vector analyzing powers in elastic e-d scattering to modern local and nonlocal NN potentials. Indian J Phys 94, 1025–1040 (2020). https://doi.org/10.1007/s12648-019-01537-0

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