BPhysMGU2003008Darwish-m1 Reaction Near Threshold and Its Implication to the GDH Sum Rule and the Double Polarization $$\boldsymbol{E}$$ -Asymmetry"/> Skip to main content
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The Spin Response of the \(\vec{\boldsymbol{\gamma}}\vec{\boldsymbol{d}}\to\pi^{0}\boldsymbol{d}\) Reaction Near Threshold and Its Implication to the GDH Sum Rule and the Double Polarization \(\boldsymbol{E}\)-Asymmetry

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Abstract

The spin response of the \(\vec{\gamma}\vec{d}\to\pi^{0}d\) reaction near threshold is investigated. Our formalism based on the impulse approximation, uses the realistic Bonn \(NN\) potential (full model) for the deuteron wave function and the unitary isobar MAID-2007 model for the elementary \(\gamma N\to\pi N\) amplitude. We present the first results for the double polarized differential and total cross sections for parallel and antiparallel helicity states, the deuteron spin asymmetry, the helicity \(E\)-asymmetry, the deuteron GDH integral, and the double spin asymmetries of the total cross section in the near-threshold region. Sensitivity of the estimated results to the \(D\)-wave effect of the deuteron wave function for a realistic \(NN\) potential is studied. We find an insignificant sensitivity of most of the estimated observables to the \(D\)-wave component. A noticeable role is obtained only in the double polarized differential cross section with antiparallel spins of photon and deuteron \(d\sigma^{A}/d\Omega_{\pi}\) close to the threshold energy at forward and backward pion angles as well as in the double spin asymmetry of the total cross section \(\sigma\tilde{T}_{20}\) at relatively large photon energies. Thus, we compare results for these two observables using various \(NN\) potential models with different \(D\)-state probabilities, and a noticeable influence is found.

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ACKNOWLEDGMENTS

One of the authors, E.M. Darwish, would like to thank M. Levchuk for several enlightening discussions and guidance.

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Authors and Affiliations

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

    E. M. Darwish, H. M. Abou-Elsebaa, Kh.S. Alsadi & M. Saleh Yousef

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

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

  3. Physics Department, Faculty of Science, Cairo University, 12613, Giza, Egypt

    M. Saleh Yousef

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  1. E. M. Darwish
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  2. H. M. Abou-Elsebaa
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  3. Kh.S. Alsadi
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  4. M. Saleh Yousef
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Correspondence to E. M. Darwish.

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Darwish, E., Abou-Elsebaa, H., Alsadi, K. et al. The Spin Response of the \(\vec{\boldsymbol{\gamma}}\vec{\boldsymbol{d}}\to\pi^{0}\boldsymbol{d}\) Reaction Near Threshold and Its Implication to the GDH Sum Rule and the Double Polarization \(\boldsymbol{E}\)-Asymmetry. Moscow Univ. Phys. 75, 198–207 (2020). https://doi.org/10.3103/S002713492003008X

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