Single-particle properties of the near-threshold proton-emitting resonance in B11

Abstract

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