Abstract.
We discuss the impact of the uncertainty (\(\pm 8\) keV) in the excitation energy of the astrophysically important 6.356 MeV \( 1/2^{+}_{2}\) state of 17O on the precision with which the Coulomb reduced ANC (\(\widetilde{C}\)) for the \( \langle {}^{17}\mathrm{O} (1/2^+_2) | {}^{13}\mathrm{C} + \alpha\rangle\) overlap can be extracted from direct reaction data. We find a linear dependence of \(\widetilde{C}^{2}\) on the binding energy, the value extracted varying by a factor of 4 over the range \( E_{\mathrm{ex}} = 6.356-6.348\) MeV. This represents an intrinsic limit on the precision with which \(\widetilde{C}^{2}\) can be determined which cannot be improved unless or until the uncertainty in \(E_{\mathrm{ex}}\) is reduced.
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Communicated by N. Alamanos
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Keeley, N., Kemper, K.W. & Rusek, K. A cautionary tale: The Coulomb modified ANC for the 1/2+2 state in 17O. Eur. Phys. J. A 54, 71 (2018). https://doi.org/10.1140/epja/i2018-12507-5
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DOI: https://doi.org/10.1140/epja/i2018-12507-5