β decay of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Li</mml:mi></mml:mrow><mml:mprescripts/><mml:mrow/><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow/><mml:mrow/></mml:mmultiscripts></mml:mrow></mml:math>to the deuteron channel and halo analog states in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow><mml:mprescripts/><mml:mrow/><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow/><mml:mrow/></mml:mmultiscripts></mml:mrow></mml:math>

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 \ensuremath{\beta}-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 $^{11}\mathrm{Be}$.

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