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Three-body Thomas-Ehrman shifts of analog states of $^{17}$Ne and $^{17}$N

E. Garrido·D. V. Fedorov·A. S. Jensen
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Abstract

The lowest-lying states of the Borromean nucleus $^{17}$Ne ($^{15}$O+$p$ + $p$) and its mirror nucleus $^{17}$N ($^{15}$N+$n$ + $n$) are compared by using the hyperspheric adiabatic expansion. Three-body resonances are computed by use of the complex scaling method. The measured size of $^{15}$O and the low-lying resonances of $^{16}$F ($^{15}$O+$p$) are first used as constraints to determine both central and spin-dependent two-body interactions. The interaction obtained reproduces relatively accurately both experimental three-body spectra. The Thomas-Ehrman shifts, involving excitation energy differences, are computed and found to be less than 3% of the total Coulomb energy shift for all states.

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E. Garrido, D. V. Fedorov, A. S. Jensen. 2003-11-05. Three-body Thomas-Ehrman shifts of analog states of $^{17}$Ne and $^{17}$N. https://doi.org/10.1103/physrevc.69.024002

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