Intermediate-energy deuteron scattering from $\alpha$-cluster nuclei

The polarization observables for elastic 400 and 700 MeV deuteron scattering from ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$ nuclei have been analyzed in the framework of the multiple diffraction scattering theory and the $\alpha$-cluster model with dispersion. The rigid projectile approximation with “effective” $d$-$\alpha$ scattering amplitude as well as the three-body $n+p+A$ model, which uses nucleon-$A$ scattering amplitudes and the deuteron ground-state wave function with both $S$ and $D$ waves, are applied for the calculations. Both approaches are compared with each other and with the available experimental data.

Figure 1

Differential cross section $\sigma \left(\theta \right)\equiv d\sigma \left(\theta \right)/d\Omega$ (mb/sr) and analyzing powers $A_y\left(\theta \right)$, $A_{yy}\left(\theta \right)$ for the elastic deuteron scattering from ${}^{16}$O nuclei at 400 and 700 MeV, calculated in the RP approximation. The solid curves have been calculated using the deuteron-$\alpha$ scattering amplitude $f_{d\alpha }\left(\mathbf{q}\right)$ in the form (25), and the dashed curves were obtained in Ref. [37], allowing only for the first two terms in (25). The experimental data are from Ref. [43].

Figure 2

Differential cross section $\sigma \left(\theta \right)\equiv d\sigma \left(\theta \right)/d\Omega$, analyzing powers $A_y\left(\theta \right)$, $A_{yy}\left(\theta \right)$, $A_{xx}\left(\theta \right)$, $A_{xz}\left(\theta \right)$, and polarization transfer coefficients $K_{zz}^{z^{\prime }{z}^{\prime }}\left(\theta \right)$, $K_{zz}^{x^{\prime }{z}^{\prime }}\left(\theta \right)$, $K_z^{y^{\prime }{z}^{\prime }}\left(\theta \right)$ for the elastic deuteron scattering from ${}^{16}$O and ${}^{12}$C nuclei at 700 MeV. The solid and dot-dashed curves were calculated in the TB approximation with the $D$ and $S$ waves included [see relations (35, 36, 37, 38, 39)], respectively, and the dashed curves were obtained in the RP approximation and coincide with the solid curves in Fig. 1. The experimental data are from Refs. [43, 44].

Figure 3

The same as in Fig. 2, but for 400 MeV. The experimental data are from Ref. [43].

Figure 4

The same as in Figs. 2 and 3, but for the $d$-${}^4$He scattering.