Complete fusion ofO16,18withMg24,26

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Abstract

Total fusion cross sections for $^{16}\mathrm{O}$ + $^{24}\mathrm{Mg}$, $^{16}\mathrm{O}$ + $^{26}\mathrm{Mg}$, and $^{18}\mathrm{O}$ + $^{24}\mathrm{Mg}$ have been measured in the energy range $18 \mathrm{MeV}\ensuremath{\le}{E}_{\mathrm{c}.\mathrm{m}.}\ensuremath{\le}50 \mathrm{MeV}$ by detection of the evaporation residues. In addition, elastic scattering angular distributions have been measured and analyzed with the optical model. The fusion cross section for $^{16}\mathrm{O}$ + $^{24}\mathrm{Mg}$ saturates at \ensuremath{\sim} 1100 mb, while that for $^{16}\mathrm{O}$ + $^{26}\mathrm{Mg}$ and $^{18}\mathrm{O}$ + $^{24}\mathrm{Mg}$ reaches \ensuremath{\sim} 1200 mb. The fusion cross section excitation functions can be well described by the model of Glas and Mosel using reasonable parameters; the model of Bass reproduces the data well above ${E}_{\mathrm{c}.\mathrm{m}.}\ensuremath{\approx}25$ MeV but overpredicts the cross section below this energy.NUCLEAR REACTIONS $^{16}\mathrm{O}$ + $^{24}\mathrm{Mg}$, ${E}_{\mathrm{lab}}=30\ensuremath{-}81$ MeV; $^{16}\mathrm{O}$ + $^{26}\mathrm{Mg}$, ${E}_{\mathrm{lab}}=29.4\ensuremath{-}81$ MeV; $^{18}\mathrm{O}$ + $^{24}\mathrm{Mg}$, ${E}_{\mathrm{lab}}=32\ensuremath{-}72$ MeV; measured ${\ensuremath{\sigma}}_{\mathrm{fusion}}$; measured $\ensuremath{\sigma}(\ensuremath{\theta})$ elastic scattering; deduced optical-model parameters.

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