β decay ofLi11to the deuteron channel and halo analog states inBe11

States in the ${}_{}{}^{11}{}_{}{}^{}\mathrm{Be}$ spectrum, termed halo analog (HA) states, with halo isospin ${\mathit{T}}^{\mathit{h}}$=1, 0 are studied in the framework of a three-body ${(}^9$Li+n+p) approach and a microscopic hyperspherical harmonics method. Three-body bound and scattering (HA) states, with structure similar to the two-neutron halo state of ${}_{}{}^{11}{}_{}{}^{}\mathrm{Li}$, are obtained in ${}_{}{}^{11}{}_{}{}^{}\mathrm{Be}$ at the excitation energies above 18 MeV and compared with experimental spectra. The influence of the ‘‘deuteronlike’’ halo analog state with T=3/2 (${\mathit{T}}^{\mathit{h}}$=0) on β-delayed deuteron emission from ${}_{}{}^{11}{}_{}{}^{}\mathrm{Li}$ is studied. It is found that the shape of the deuteron spectrum and branching ratio to the ${}_{}{}^9{}_{}{}^{}\mathrm{Li}$+d channel are sensitive to the position of this halo analog state in ${}_{}{}^{11}{}_{}{}^{}\mathrm{Be}$.