Abstract
High-spin states in $^{189}\mathrm{Tl}$ have been populated through the $^{165}\mathrm{Ho}$${(}^{28}$Si,4n) reaction and studied with in-beam \ensuremath{\gamma}-ray spectroscopy techniques. Both oblate and prolate structures associated with the i13/2 proton orbit are confirmed and extended to higher spins (19/2 and 41/2, respectively). However, only the oblate structure related to the \ensuremath{\pi}h9/2 has been observed meaning that the associated prolate structure is nonyrast contrary to expectation. This experimental result points clearly to a large amplitude of (\ensuremath{\pi}h9/2${)}^{2}$ in the wave function of the prolate minimum of $^{188}\mathrm{Hg}$.
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