Single-particle properties of the near-threshold proton-emitting resonance in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi mathvariant="normal">B</mml:mi><mml:mprescripts /><mml:none /><mml:mn>11</mml:mn></mml:mmultiscripts></mml:math>

The excitation function of proton elastic scattering from $^{10}\mathrm{Be}$ at keV energy is calculated using the method self-consistent Skyrme Hartree-Fock in continuum. calculation successfully reproduces narrow near-threshold proton-emitting resonance (${E}_{x}=11.4$ MeV, $\mathrm{\ensuremath{\Gamma}}=6$ keV, and quantum number ${J}^{\ensuremath{\pi}}=1/{2}^{+}$) $^{11}\mathrm{B}$ relevant to $\ensuremath{\beta}$-delayed emission $^{11}\mathrm{Be}$. This supports recent experimental result Ayyad et al. ReA3 reaccelerator facility National Superconducting Cyclotron Laboratory (NSCL) Michigan State University. interpreted as ${s}_{1/2}$ single-proton state mean-field theory.