Fusion cross section behavior for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">C</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>12</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>24</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">C</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>12</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>

K. Daneshvar; D. G. Kovar; S. J. Krieger; K. T. R. Davies

doi:10.1103/PhysRevC.25.1342

Fusion cross section behavior for ${}^{12}C$ + ${}^{24}{Mg}$ and ${}^{12}C$ + ${}^{26}{Mg}$

K. Daneshvar, D. G. Kovar, S. J. Krieger, and K. T. R. Davies

Phys. Rev. C 25, 1342 – Published 1 March 1982

Abstract

Total fusion cross section excitation functions for the ${}^{12}C$ + ${}^{24}{Mg}$ and ${}^{12}C$ + ${}^{26}{Mg}$ systems have been measured in the energy range $20 \leq E_{lab} < 60$ MeV by detection of the evaporation residues. The excitation function for ${}^{12}C$ + ${}^{24}{Mg}$ is found to show evidence of oscillatory structures with peak to valley difference of ∼5-10% while that for ${}^{12}C$ + ${}^{26}{Mg}$ is relatively smooth. The maximum fusion cross sectin for ${}^{12}C$ + ${}^{24}{Mg}$ is observed to be ∼1180 mb compared to ∼1280 mb for ${}^{12}C$ + ${}^{26}{Mg}$ . The cross sections for ${}^{12}C$ + ${}^{26}{Mg}$ show evidence of a change in behavior at a bombarding energy significantly below the energy at which the cross section saturates. The results are discussed in the context of previous measurements and predictions of macroscopic and microscopic fusion models.

NUCLEAR REACTIONS Fusion measurement, $σ_{fus} (E)$ : ${}^{12}C$ + ${}^{24}{Mg}$ , $20 \leq E_{lab} \leq 63$ MeV; ${}^{12}C$ + ${}^{26}{Mg}$ , $20 \leq E_{lab} \leq 56$ MeV; measured $σ_{elastic} (θ)$ , $σ_{fusion} (θ)$ at $E_{lab} = 20, 24, 30, 41, 48, 56, and 60$ MeV for ${}^{12}C$ + ${}^{24}{Mg}$ , and at 20, 30, 42, and 56 MeV for ${}^{12}C$ + ${}^{26}{Mg}$ .