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Structure and decay of the extremely proton-rich nuclei <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi mathvariant="normal">O</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>11</mml:mn><mml:mo>,</mml:mo><mml:mn>12</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>
Background: The recent observation of the unbound nucleus $^{11}\mathrm{O}$ offers the unique possibility to study how the structure and dynamics of two-proton ($2p$) decay is affected by the removal of one neutron from $^{12}\mathrm{O}$, and provides important information on the Thomas-Ehrman effect in the mirror pairs $_{8}^{11}\mathrm{O}_{3}\text{\ensuremath{-}}_{3}^{11}\mathrm{Li}_{8}$ and $_{8}^{12}\mathrm{O}_{4}\text{\ensuremath{-}}_{4}^{12}\mathrm{Be}_{8}$, which …