Microscopic effective reaction theory for deuteron-induced reactions

The microscopic effective reaction theory is applied to deuteron-induced reactions. A reaction model space characterized by a $p+n+A$ three-body model is adopted, where $A$ is the target nucleus, and the nucleon-target potential is described by a microscopic folding model based on an effective nucleon-nucleon interaction in nuclear medium and a one-body nuclear density of $A$. The three-body scattering wave function in the model space is obtained with the continuum-discretized coupled-channels (CDCC) method, and the eikonal reaction theory (ERT), an extension of CDCC, is applied to the calculation of neutron removal cross sections. Elastic scattering cross sections of deuteron on ${}^{58}\mathrm{Ni}$ and ${}^{208}\mathrm{Pb}$ target nuclei at several energies are compared with experimental data. The total reaction cross sections and the neutron removal cross sections at 56 MeV on 14 target nuclei are calculated and compared with experimental values.

Figure 1

Schematics of deuteron-induced nuclear reaction system.

Figure 2

Deuteron elastic scattering differential cross section normalized to the Rutherford cross section at 80 MeV on ${}^{58}\mathrm{Ni}$. The solid line denotes the result of the microscopic CDCC calculation. The experimental data are taken from Ref. [21].

Figure 3

Deuteron elastic scattering differential cross section normalized to the Rutherford cross section at 56 MeV on ${}^{12}\mathrm{C}$ and ${}^{58}\mathrm{Ni}$. The solid lines denote the results of the microscopic CDCC calculation. The experimental data are taken from Ref. [23].

Figure 4

Deuteron elastic scattering differential cross section normalized to the Rutherford cross section at 52 MeV on ${}^{16}\mathrm{O}$. The solid line denotes the result of the microscopic CDCC calculation. The experimental data are taken from Ref. [24].

Figure 5

Same as Fig. 2 but at 21.6 MeV. The dashed line corresponds to the result of CDCC without the Coulomb breakup. The experimental data are taken from Ref. [30].

Figure 6

Same as Fig. 2 but at 200 and 400 MeV. The dashed line is the result of microscopic CDCC with the spin-orbit interaction. The experimental data are taken from Ref. [31].

Figure 7

Same as Fig. 5 but at 56 MeV on ${}^{208}\mathrm{Pb}$. The experimental data are taken from Ref. [23].

Figure 8

Angular distribution of the total elastic breakup cross section at 56 MeV on ${}^{208}\mathrm{Pb}$. The solid line denotes the result of full CDCC, whereas the dashed line denotes CDCC without Coulomb breakup.

Figure 9

Comparisons of microscopic CDCC calculation of total reaction cross sections (solid) and neutron removal cross sections (dashed) with the experimental data [14].