Improved deuteron elastic breakup energy dependence via the continuum-discretized coupled-channels method

Experimental elastic-scattering angular distributions for deuteron interaction with ${}^{63}\mathrm{Cu}$ and ${}^{93}\mathrm{Nb}$ targets are compared with calculations performed within the continuum-discretized coupled-channels (CDCC) method, in which coupling to breakup channels is explicitly taken into account. The calculated elastic breakup cross sections are compared with the predictions of an empirical parametrization for a wide range of deuteron incident energies. The good agreement between the calculations and the systematics at the energies where data are available indicates that the CDCC method permits a useful assessment of empirical parametrizations and provides useful guidance for the extrapolation of these parametrizations beyond the energies formerly considered.

Figure 1

Energy dependence of the total (thick solid curves), elastic (dashed curves), and inelastic (dot-dashed curves) proton-emission breakup cross sections given by Ref. [10] and of the total proton-emission breakup cross sections [7] (dotted curves) for the deuteron interactions with (a) ${}^{63}\mathrm{Cu}$ and (b) ${}^{93}\mathrm{Nb}$. The corresponding total reaction cross section is shown by the thin curves.

Figure 2

(a)–(c) Comparison of measured [36] and calculated (CDCC) angular distributions of deuteron elastic scattering on ${}^{63}\mathrm{Cu}$ at $E_d=12$, 14.5, and 34.4 MeV. (d) Energy dependence of the empirical [10] (dashed curve) and CDCC (solid line) elastic breakup cross sections for deuteron scattering with ${}^{63}\mathrm{Cu}$. The solid circle is the value from Kleinfeller systematics [31].

Figure 3

(a)–(d) Comparison of measured [37] and calculated (CDCC) angular distributions of deuteron elastic scattering on ${}^{93}\mathrm{Nb}$ at $E_d=11.8$, 15, 34.4, and 52 MeV. (e) The same as in Fig. 2d but for deuteron scattering on ${}^{93}\mathrm{Nb}$.