Abstract

High-spin states in $^{157}\mathrm{Yb}$ have been populated in the $^{144}\mathrm{Sm}$($^{16}\mathrm{O}$,3$n$)$^{157}\mathrm{Yb}$ fusion-evaporation reaction at a beam energy of 85 MeV. Two rotational bands built on the $\ensuremath{\nu}{f}_{7/2}$ and \ensuremath{\nu}$h$${}_{9/2}$ intrinsic states, respectively, have been established for the first time. The newly observed \ensuremath{\nu}$f$${}_{7/2}$ band and previously known \ensuremath{\nu}$i$${}_{13/2}$ band in $^{157}\mathrm{Yb}$ are discussed in terms of total Routhian surface methods and compared with the structures in the neighboring $N$ $=$ 87 isotones. The structural characters observed in $^{157}\mathrm{Yb}$ provide evidence for shape coexistence of three distinct shapes: prolate, triaxial, and oblate. At higher spins, both the \ensuremath{\nu}$f$${}_{7/2}$ band and \ensuremath{\nu}$i$${}_{13/2}$ band in $^{157}\mathrm{Yb}$ undergo a shape evolution with sizable alignments occurring.

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