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

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, $\mathrm{\Gamma }=6$ keV, and quantum number $J^{\pi }=1/2^{+}$) in ${}^{11}\mathrm{B}$ relevant to the $\beta$-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.

Figure 1

Calculated excitation function (a) and $s$-wave phase shift (b) in the center-of-mass frame for ${}^{10}\mathrm{Be}(p,p$) elastic scattering. The calculation with SAMi interaction is shown as an example. The experimental data and the $R$-matrix fitting (the blue-dashed line) are taken from Ayyad et al. [17].

Figure 2

The accumulation of the volume integral of the total potential. The calculations with different Skyrme interactions are convergent after the adjustment of the potential depth to correct the resonance position at 182 keV.