# A Cautionary Tale: The Coulomb Modified ANC for the $\\mathbf{1/2^+\_2}$ State in $^\\mathbf{17}$O

Source: [A Cautionary Tale: The Coulomb Modified ANC for the $\\mathbf{1/2^+\_2}$ State in $^\\mathbf{17}$O](<https://www.sota2.com/research/paper/68fa37bd1e209131ce8b4cc0>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T22:35:17.141Z

Authors: N. Keeley, K.W. Kemper, K. Rusek

Published: 2018-05-23T12:15:47.000Z

## 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 $^{17}$O on the precision with which the Coulomb reduced ANC ($\\widetilde{C}$) for the $\\left\<^{17}\\mathrm{O}(1/2^+\_2) \\mid \\protect{^{13}\\mathrm{C}} + \\alpha \\right\>$ 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1805.09083>)

[PDF](<https://arxiv.org/pdf/1805.09083.pdf>)