<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">Mg</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>24</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math>(<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">O</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>18</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">O</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>16</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math>)<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">Mg</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>26</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math> reaction at <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>E</mi></mrow><mrow><mrow><mmultiscripts><mrow><mi mathvariant="normal">O</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>18</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></mrow></msub></mrow><mo>=</mo><mn>50</mn><mn></mn></math> MeV including scattering in entrance and exit channel

M. Bernas; F. Pougheon; M. Roy-Stephan; G. P. A. Berg; B. Berthier; J. P. Le Fèvre; B. H. Wildenthal

doi:10.1103/PhysRevC.22.1872

${}^{24}{Mg}$ ( ${}^{18}O$ , ${}^{16}O$ ) ${}^{26}{Mg}$ reaction at $E_{{}^{18}O} = 50$ MeV including scattering in entrance and exit channel

M. Bernas, F. Pougheon, M. Roy-Stephan, G. P. A. Berg, B. Berthier, J. P. Le Fèvre, and B. H. Wildenthal

Phys. Rev. C 22, 1872 – Published 1 November 1980

Abstract

Cross section angular distributions of ${}^{24}{Mg}$ ( ${}^{18}O$ , ${}^{16}O$ ) ${}^{26}{Mg}$ reaction at 50 MeV incident energy leading to the first four excited states in ${}^{26}{Mg}$ and the elastic and inelastic scattering for ${}^{18}O$ + ${}^{24}{Mg}$ at 50 MeV and ${}^{16}O$ + ${}^{26}{Mg}$ at 56 MeV have been measured in order to investigate the reaction mechanism of the two-nucleon transfer reaction including the analysis of incident and exit channels. The measured angular distributions were analyzed in the framework of the exact finite-range distorted-wave Born approximation. Two neutron transfer amplitudes were determined using the $2 s - 1 d$ shell model amplitudes calculated by Chung and Wildenthal. The large experimental cross section in contrast to the smallness of the direct transfer amplitude and the peculiar shape of the measured angular distribution of the lowest $2_{1}^{+}$ state suggests that this level is mainly excited by two-step processes. It is shown that a coupled-channel Born approximation calculation describes successfully the angular distributions of the ground state and the $2_{1}^{+}$ state in ${}^{26}{Mg}$ .

NUCLEAR REACTIONS ${}^{24}{Mg}$ ( ${}^{18}O$ , ${}^{16}O$ ) ${}^{26}{Mg}$ , $E_{{}^{18}O} = 50$ MeV, measured $σ (θ, E_{x})$ ; ${}^{24}{Mg}$ ( ${}^{18}O$ , ${}^{18}O$ ) ${}^{24}{Mg}$ , $E_{{}^{18}O} = 50$ MeV and ${}^{26}{Mg}$ ( ${}^{16}O$ , ${}^{16}O$ ) ${}^{26}{Mg}$ , $E_{{}^{16}O} = 56$ MeV, elastic and inelastic scattering, measured $σ (θ)$ ; enriched targets; optical model parameters deduced from scattering: microscopic EFR-DWBA and CCBA analysis with shell-model wave functions.