Low and medium energy deuteron-induced reactions on ${}^{27}\mathrm{Al}$

The activation cross sections of $(d,p)$, $(d,2p)$, and $(d,p\alpha )$ reactions on ${}^{27}\mathrm{Al}$ were measured in the energy range from 4 to 20 MeV using the stacked-foils technique. Following a previous extended analysis of elastic scattering, breakup, and direct reaction of deuterons on ${}^{27}\mathrm{Al}$, for energies from 3 to 60 MeV, the preequilibrium and statistical emissions are considered in the same energy range. Finally, all deuteron-induced reactions on ${}^{27}\mathrm{Al}$ including the present data measured up to 20 MeV deuteron energy are properly described due to a simultaneous analysis of the elastic scattering and reaction data.

Figure 1

The excitation functions of cross sections determined in different runs A and B for the reactions ${}^{27}\mathrm{Al}(d,2p){}^{27}\mathrm{Mg}$ and ${}^{63}\mathrm{Cu}(d,2n){}^{63}\mathrm{Zn}$. The overestimation of data from run A over run B is clearly indicated within a scale factor of about 10% for both reactions.

Figure 2

Comparison of measured (this work, solid circles, and Ref. [12]) and calculated reaction cross sections provided by the code TALYS (dashed curves); the library ACSELAM (short-dotted); and local analysis (solid) using the DR results (dash-dotted) for the $(d,p)$ and $(d,n)$ reactions and deuteron breakup for the $(d,2p)$, $(d,2n)$, and $(d,p\alpha )$ reactions and the $\mathrm{PE}+\mathrm{CN}$ components (dotted).

Figure 3

(a) The centroid $E_x$ of assumed Gaussian line shape [17] for deuteron breakup peak energies of emitted neutrons (solid) and protons (dash-dotted) and the corresponding $E_n\pm \Delta$ values (dashed). (b) The sum (solid curve) of the ratios of deuteron breakup (dash-dotted) and stripping DR [8] (dashed) to the total reaction cross sections.

Figure 4

Comparison of measured data as in Fig. 2 and (a,b) the deuteron breakup neutron-emission cross section and (c) proton-emission cross section [8] (dotted curves), multiplied by the factors (a) 0.002 and (b) 0.001 (dash-dot-dotted); evaluated [22] cross sections of (a,b) the $(n,p)$ and $(n,\alpha )$ reactions on ${}^{27}\mathrm{Al}$, respectively, as a function of neutron energy (dashed); and (c) calculated ${}^{27}\mathrm{Al}(p,n){}^{27}\mathrm{Si}$ reaction cross sections as a function of proton energy; and the corresponding deuteron breakup corrections (dash-dotted) for (a,b,c), the $(d,2p)$, $(d,p\alpha )$, and $(d,2n)$ reactions on ${}^{27}\mathrm{Al}$, respectively, smoothed over 3 MeV (solid) as well.