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

TL;DR

This paper uses a self-consistent Skyrme Hartree-Fock approach to accurately model a near-threshold proton-emitting resonance in $^{11}$B, confirming experimental observations and interpreting it as an $s_{1/2}$ single-proton resonance.

Contribution

It demonstrates the effectiveness of the Skyrme Hartree-Fock method in reproducing and interpreting a specific nuclear resonance in $^{11}$B.

Findings

Successfully reproduces the narrow resonance at 11.4 MeV in $^{11}$B.

Confirms the resonance as an $s_{1/2}$ single-proton state.

Supports recent experimental results from NSCL.

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.