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arXiv · 1907.11345

Low-energy bound states, resonances, and scattering of light ions

Benjamin K. Luna·T. Papenbrock
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Abstract

We describe bound states, resonances and elastic scattering of light ions using a $δ$-shell potential. Focusing on low-energy data such as energies of bound states and resonances, charge radii, asymptotic normalization coefficients, effective-range parameters, and phase shifts, we adjust the two parameters of the potential to some of these observables and make predictions for the nuclear systems $d+α$, $\mbox{$^3$He}+α$, $\mbox{$^3$He}+α$, $α+α$, and $p+\mbox{$^{16}$O}$. We identify relevant momentum scales for Coulomb halo nuclei and propose how to apply systematic corrections to the potentials. This allows us to quantify statistical and systematic uncertainties. We present a constructive criticism of Coulomb halo effective field theory and compute the unknown charge radius of $^{17}$F.

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Benjamin K. Luna, T. Papenbrock. 2019-07-26. Low-energy bound states, resonances, and scattering of light ions. https://doi.org/10.1103/physrevc.100.054307

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