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- W4383218504 abstract "Background: The existence of fusion hindrance in the light heavy-ion systems of astrophysical interest is not well established, so investigating slightly heavier cases may allow a reliable extrapolation towards the lighter ones. The recent observation of a very high hindrance threshold in $^{12}mathrm{C}+^{24}mathrm{Mg}$ (with a positive $Q$ value for fusion) at ${ensuremath{sigma}}_{mathrm{fus}}ensuremath{simeq}0.75$ mb, misses a valid interpretation within current theoretical models.Purpose: Our aim has been to search evidence for fusion hindrances in the nearby system $^{12}mathrm{C}+^{26}mathrm{Mg}$ also having ${Q}_{mathrm{fus}}>0$, and to obtain information on the underlying physics from a comparison of the two cases and from coupled-channels calculations.Methods: The experiment was performed in inverse kinematics using the $^{26}mathrm{Mg}$ beam from the XTU Tandem accelerator of Laboratori Nazionali di Legnaro (LNL). The targets were thin $^{12}mathrm{C}$ evaporations isotopically enriched to $99.9%$. The fusion-evaporation residues were detected at small angles by a $Eensuremath{-}mathrm{ensuremath{Delta}}E$-ToF detector telescope following an electrostatic beam deflector.Results: The fusion excitation function of $^{12}mathrm{C}+^{26}mathrm{Mg}$ has been measured down to $ensuremath{approx}5phantom{rule{0.16em}{0ex}}textmu{}mathrm{b}$. The astrophysical $S$ factor shows a maximum at an energy where the cross section is $ensuremath{approx}0.03$ mb, significantly lower than for $^{12}mathrm{C}+^{24}mathrm{Mg}$. This difference is confirmed by the comparison of the two $S$ factors. coupled channel calculations give a good account of the data, but they overpredict the cross sections below $ensuremath{approx}0.03$ mb. The logarithmic slopes of the two excitation functions are superimposable to a large extent, with visible oscillations, more noticeable for $^{12}mathrm{C}+^{24}mathrm{Mg}$.Conclusions: The hindrance phenomenon is clearly observed in $^{12}mathrm{C}+^{26}mathrm{Mg}$. The difference between the corresponding threshold energies for $^{12}mathrm{C}+^{24,26}mathrm{Mg}$ might (only qualitatively) be attributed to the $ensuremath{alpha}$-like structure of $^{24}mathrm{Mg}$. In the Jiang's phenomenological systematics, the different behaviors of $^{12}mathrm{C}+^{24,26}mathrm{Mg}$ make the situation more complex, and call into question the extrapolation procedure toward the lighter systems of astrophysical interest." @default.
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- W4383218504 date "2023-07-05" @default.
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- W4383218504 title "Sub-barrier fusion in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mmultiscripts><mml:mi mathvariant=normal>C</mml:mi><mml:mprescripts /><mml:none /><mml:mn>12</mml:mn></mml:mmultiscripts><mml:mo>+</mml:mo><mml:mmultiscripts><mml:mi>Mg</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>26</mml:mn><mml:mo>,</mml:mo><mml:mn>24</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math> : Hindrance and oscillations" @default.
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- W4383218504 doi "https://doi.org/10.1103/physrevc.108.014602" @default.
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