Abstract
Excited states in $^{14}\mathrm{O}$ have been investigated both experimentally and theoretically. Experimentally, these states were produced via neutron-knockout reactions with a fast $^{15}\mathrm{O}$ beam and the invariant-mass technique was employed to isolate the $1p$ and $2p$ decay channels and determine their branching ratios. The spectrum of excited states was also calculated with the shell model embedded in the continuum that treats bound and scattering states in a unified model. By comparing energies, widths, and decay branching patterns, spin and parity assignments for all experimentally observed levels below 8 MeV are made. This includes the location of the second ${2}^{+}$ state that we find is in near degeneracy with the third ${0}^{+}$ state. An interesting case of sequential $2p$ decay through a pair of degenerate $^{13}\mathrm{N}$ excited states with opposite parities was found where the interference between the two sequential decay pathways produces an unusual relative-angle distribution between the emitted protons.
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