Elastic and inelastic scattering to low-lying states of ${}^{58}\mathrm{Ni}$ and ${}^{90}\mathrm{Zr}$ using 240-MeV ${}^6\mathrm{Li}$

Elastic and inelastic scattering of 240-MeV ${}^6\mathrm{Li}$ particles from ${}^{58}\mathrm{Ni}$ and ${}^{90}\mathrm{Zr}$ were measured with the multipole-dipole-multipole spectrometer from $4^{°}⩽{\theta }_{\mathrm{c}.\mathrm{m}.}⩽{43}^{°}$. The elastic scattering data were fitted with the double-folding model using the density-dependent M3Y $\mathit{NN}$ effective interaction and with a phenomenological Woods-Saxon potential. $B(E2)$ and $B(E3)$ values obtained for low-lying $2^{+}$ and $3^{-}$ states with the double-folding calculations agreed with the adopted values.

Figure 1

Representative energy spectra for the scattering of 240-MeV ${}^6\mathrm{Li}$ ions from ${}^{58}\mathrm{Ni}$ at ${\theta }_{\mathrm{lab}}=7.{22}^{°}$, $16.{52}^{°}$, and $24.{53}^{°}$, showing the elastic and $2^{+}$ and $3^{-}$ low-lying states.

Figure 2

Experimental angular distribution of the cross section (relative to the Rutherford cross section) and fits for ${}^6\mathrm{Li}+{}^{58}\mathrm{Ni}$ elastic scattering using WS potential and DDF potential parameters are shown. The error bars include statistical and systematic errors.

Figure 3

Same as Fig. 2, but for the ${}^{90}\mathrm{Zr}$ target.

Figure 4

The target mass number dependence of real normalization ($N_r$) and radius scaling ($S_r$) factors is shown by solid squares. The ${}^{24}\mathrm{Mg}$ and ${}^{28}\mathrm{Si}$ results are from Ref. [16], and the ${}^{116}\mathrm{Sn}$ result is from Ref. [17]. Solid lines are linear fits of the data.

Figure 5

Plot of the real and imaginary volume integrals obtained from 240-MeV data are compared with those obtained from 210-MeV data by Nadasen et al. [19] using WS form factors. The ${}^{24}\mathrm{Mg}$ and ${}^{28}\mathrm{Si}$ results are from Ref. [16], and the ${}^{116}\mathrm{Sn}$ results are from Ref. [17]. The solid and broken lines are linear fits of the data from the present work and from Nadasen et al., respectively. The solid squares show Nadasen et al.’s results, while the circles show our results using WS form factors. The asterisks show our results using double folding.

Figure 6

The angular distributions of the differential cross sections calculated with deformed potential model and folding models for inelastic scattering to the 1.454-MeV $2^{+}$ state of ${}^{58}\mathrm{Ni}$ and the 2.186-MeV $2^{+}$ state of ${}^{90}\mathrm{Zr}$ are plotted along with the data points. The $B(E2)$ values used for DP and DDF models calculations are best-fit values shown in Table . The error bars represent statistical and systematic errors.

Figure 7

The differential cross sections calculated with deformed potential model and folding models for inelastic scattering to the 4.475-MeV $3^{-}$ state of ${}^{58}\mathrm{Ni}$ and 2.747-MeV $3^{-}$ state of ${}^{90}\mathrm{Zr}$ are plotted along with the data points versus average center-of-mass angle. The $B(E3)$ values used for DP and DDF models calculations are listed in Table . The error bars represent statistical and systematic errors.

Figure 8

Angular distributions of the differential cross section for 240-MeV ${}^6\mathrm{Li}$ inelastic scattering from ${}^{58}\mathrm{Ni}$ for $l=0$–3 for $100\%$ of the EWSR at $E_x=18$ MeV.

Figure 9

Angular distributions of the differential cross section for 240-MeV ${}^6\mathrm{Li}$ inelastic scattering from ${}^{90}\mathrm{Zr}$ for $l=0$–3 for $100\%$ of the EWSR at $E_x=17$ MeV.