Abstract
The isomeric state of $^{16}\mathrm{N}$ was studied using the $^{16}\mathrm{N}{}^{g,m}(d,^{3}\mathrm{He})$ proton-removal reactions at 11.8 MeV/u in inverse kinematics. The $^{16}\mathrm{N}$ beam, of which 24% was in the isomeric state, was produced using the Argonne Tandem-Linac Accelerator System (ATLAS) in-flight system and delivered to the Helical Orbit Spectrometer (HELIOS), which was used to analyze the $^{3}\mathrm{He}$ ions from the $(d,^{3}\mathrm{He})$ reactions. The simultaneous measurement of reactions on both the ground state and the isomeric states, reduced the systematic uncertainties from the experiment and in the analysis. A direct and reliable extraction of the relative spectroscopic factors was made based on a distorted-wave Born approximation approach. The experimental results suggest that the isomeric state of $^{16}\mathrm{N}$ is an excited neutron-halo state. The results can be understood through calculations using a Woods-Saxon potential model, which captures the effects of weak binding.
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