Thomas-Ehrman effect in a three-body model: ${}^{16}$Ne case

Abstract

The dynamic mechanism of the Thomas-Ehrman shift is studied in three-cluster systems by example of ${}^{16}$Ne and ${}^{16}$C isobaric mirror partners. We predict configuration mixings for $0^{+}$ and $2^{+}$ states in ${}^{16}$Ne and ${}^{16}$C. Large isospin symmetry breaking on the level of wave function component weights is demonstrated for these states and discussed as three-body mechanism of Thomas-Ehrman shift. It is shown that the description of the Coulomb displacement energies requires a consistency among three parameters: the ${}^{16}$Ne decay energy $E_T$, the ${}^{15}$F ground state energy $E_r$, and the configuration mixing parameters for the ${}^{16}$Ne/${}^{16}$C $0^{+}$ and $2^{+}$ states. Basing on this analysis we infer the ${}^{15}$F $1/2^{+}$ ground state energy to be $E_r=1.39-1.42$ MeV.

10 pages 8 figures

References in corpus (9)

• Radioactive decays at limits of nuclear stability
• Proton-proton correlations observed in two-proton decay of ${}^{19}$Mg and ${}^{16}$Ne
• Three-body decay of ${}^6$Be
• The observation of long-range three-body Coloumb effects in the decay of 16Ne
• Probing Nuclear forces beyond the drip-line using the mirror nuclei ${}^{16}$N and ${}^{16}$F
• Possibility to study a two-proton halo in ${}^{17}$Ne
• Three-body Thomas-Ehrman shifts of analog states of ${}^{17}$Ne and ${}^{17}$N
• Thomas-Ehrman shifts in nuclei around ^{16}O and role of residual nuclear interaction
• Anomalous population of ${}^{10}$He states in reactions with ${}^{11}$Li

Cited by in corpus (10)

• An above-barrier narrow resonance in ${}^{15}$F
• Neutron Skins and Halo Orbits in the $sd$ and $pf$ shells
• Decay mechanism and lifetime of ${}^{67}$Kr
• Deep excursion beyond the proton dripline. I. Argon and chlorine isotope chains
• Ab initio descriptions of $A=16$ mirror nuclei with resonance and continuum coupling
• Transition from direct to sequential two-proton decay in $s$-$d$ shell nuclei
• Effects of the Coulomb interaction on parameters of resonance states in mirror three-cluster nuclei
• Mass-15 nuclei and predicting narrow states beyond the proton drip line
• Gamow shell model calculations for the Thomas-Ehrman shift in new isotopes 21Al
• Gamow shell model predictions for six-proton unbound nucleus ${}^{20}$Si