First two energy levels in15F
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Abstract
The ground state and first excited state of ${}^{15}\mathrm{F}$ were measured by the method of elastic resonance scattering in inverse kinematics. A secondary beam of 115 MeV/nucleon ${}^{14}\mathrm{O}$ was slowed down to 8 MeV/nucleon and energy bunched before stopping in a ${\mathrm{C}}_{2}{\mathrm{H}}_{4}$ target. The ${}^{15}\mathrm{F}$ excitation energy spectrum was extracted from elastically scattered protons at $0\ifmmode^\circ\else\textdegree\fi{}.$ The ${1/2}^{+}$ ground state resonance of ${}^{15}\mathrm{F}$ was determined to be unbound with respect to single-proton emission by $1.51\ifmmode\pm\else\textpm\fi{}0.11\mathrm{MeV},$ corresponding to a mass excess of $16.81\ifmmode\pm\else\textpm\fi{}0.11\mathrm{MeV}.$ The ${5/2}^{+}$ first excited state resonance is unbound by $2.853\ifmmode\pm\else\textpm\fi{}0.045\mathrm{MeV}$ leading to an excitation energy of $1.34\ifmmode\pm\else\textpm\fi{}0.15\mathrm{MeV}.$ A comparison with systematics of single-nucleon separation energies and theoretical models suggests that ${}^{11}\mathrm{N}$ should be unbound by about $1.5\ifmmode\pm\else\textpm\fi{}0.15\mathrm{MeV}.$
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