Description of elastic polarized-deuteron scattering in the optical model with Skyrme forces

Microscopic deuteron-nucleus optical potential was constructed on the basis of the nucleon-nucleus optical potentials recently obtained by the authors from approximate calculations of the mass operator of the single-particle Green function using the Skyrme forces, which in general involve additional density- and momentum-dependent terms. Both the nucleon- and deuteron-nucleus elastic scattering processes are described in a self-consistent approach using the effective nucleon-nucleon forces, which simultaneously provide a satisfactory description of nuclear structure. The calculations performed using the Watanabe-type approximation have made it possible to obtain reasonable results for describing differential cross sections and polarization observables for the elastic deuteron scattering in a wide range of target-nucleus mass numbers at different incident deuteron energies, when using several Skyrme-force variants both from literature and proposed by the authors. Contributions to elastic deuteron-nucleus scattering cross sections coming from the effects of deuteron virtual breakup have been estimated in the continuum-discretized coupled channels approach.

Figure 1

Differential cross sections $\sigma \left(\theta \right)\equiv d\sigma \left(\theta \right)/d\mathrm{\Omega }$ and vector analyzing powers $i{T}_{11}\left(\theta \right)$ of the elastic scattering of 28.8-MeV deuterons on ${}^{208}\mathrm{Pb}$ nuclei calculated by the developed model of $dA$ MOP. Experimental data are from Ref. [35].

Figure 2

Observables of the elastic deuteron scattering on ${}^{90}\mathrm{Zr}$ at 28.8 MeV and ${}^{120}\mathrm{Sn}$ at 28.6 MeV, calculated by the developed model of $dA$ MOP. Experimental data are from Refs. [35, 36].

Figure 3

Differential cross sections $\sigma \left(\theta \right)$ and analyzing powers $A_y\left(\theta \right)$ for the elastic scattering of deuterons at $E_d\approx 29$ MeV on ${}^{58}\mathrm{Ni}$ and ${}^{208}\mathrm{Pb}$ nuclei and of neutrons and protons on the same nuclei at the energy $E\approx E_d/2$, calculated by the considered models of $NA$ and $dA$ MOP. Experimental data are from Refs. [35, 37, 38, 39, 40, 41].

Figure 4

Differential cross sections $\sigma \left(\theta \right)$, vector $i{T}_{11}\left(\theta \right)$, and tensor $T_{2m}\left(\theta \right)$ analyzing powers of the elastic deuteron scattering on ${}^{60}\mathrm{Ni}$ and ${}^{90}\mathrm{Zr}$ nuclei at 15 and 22 MeV. Experimental data are from Refs. [47, 48].

Figure 5

Differential cross sections $\sigma \left(\theta \right)$ of the elastic deuteron scattering on ${}^{58,60}\mathrm{Ni}$ nuclei at different energy values, calculated in the Watanabe approximation (a) and by CDCC (b) with the fresco code. Experimental data are from Refs. [37, 47, 48, 49].

Figure 6

Differential cross sections $\sigma \left(\theta \right)$ of the elastic deuteron scattering on ${}^{90}\mathrm{Zr}$ nuclei at different energies, calculated in the CDCC approximation with deuteron wave functions for the Gauss (the fresco code) and Reid (the curve by P. Chau Huu-Tai from Ref. [51]) potentials. Experimental data are from Refs. [35, 47].