Single-particle properties of the near-threshold proton-emitting resonance in ${}^{11}$B

Abstract

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

Comments: 4 pages, 2 figures