Shell-model description for the properties of the forbidden <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>β</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math> decay in the region “northeast” of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Pb</mml:mi><mml:mprescripts /><mml:none /><mml:mn>208</mml:mn></mml:mmultiscripts></mml:math>

We report a comprehensive shell-model study of the $logft$ values for forbidden ${\ensuremath{\beta}}^{\ensuremath{-}}$ decay transitions in region northeast $^{208}\mathrm{Pb}$. For this we have considered $^{210\text{--}215}\mathrm{Pb}$ $\ensuremath{\rightarrow}$ $^{210\text{--}215}\mathrm{Bi}$ and $^{210\text{--}215}\mathrm{Po}$ transitions. performed calculation using KHPE interaction valence shells 82-126 protons 126-184 neutrons without any truncation. also calculated half-lives $Q$ concerned nuclei. Recently several were observed corresponding to from (${8}^{\ensuremath{-}}$) isomeric state $^{214}\mathrm{Bi}^{m}$ at CERN-ISOLDE facility [Andel et al., Phys. Rev. C 104, 054301 (2021)], first time reported results these