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

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

2003-11-05

arxiv.org/abs/nucl-th/0311012v1

Phys.Rev. C69 (2004) 024002

Physics

Nuclear Physics

Nuclear Theory

9 pages, 3 postscript figures, revtex style. To be published in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.69.024002

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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