The coexistence of possible magnetic and chiral rotation in ${}^{129}\mathrm{Cs}$ and ${}^{131}\mathrm{La}$: a microscopic investigation

Abstract

A microscopic investigation of the rotational properties in ${}^{129}\mathrm{Cs}$ and ${}^{131}\mathrm{La}$ was carried out using the three-dimensional tilted axis cranking covariant density functional theory (3DTAC-CDFT). The calculations reveal the coexistence of magnetic and chiral rotation built on identical qusiparticle configurations $\pi h_{11/2}^1\otimes \nu h_{11/2}^{-2}$ in ${}^{129}\mathrm{Cs}$ and ${}^{131}\mathrm{La}$, establishing a new type of shape coexistence. The calculations predict the deformation parameters for magnetic rotation in ${}^{129}\mathrm{Cs}$ ($\beta \approx 0.23$, $\gamma \approx 41^{\circ }$) and ${}^{131}\mathrm{La}$ ($\beta \approx 0.25,$ $\gamma \approx 42^{\circ }$), along with those for possible chiral rotation in ${}^{129}\mathrm{Cs}$ ($\beta \approx 0.20,$ $\gamma \approx 29^{\circ }$) and in ${}^{131}\mathrm{La}$ ($\beta \approx 0.20,$ $\gamma \approx 27^{\circ }$). The energy spectra, the relation between the spin and the rotational frequency, and the reduced $M1$ and $E2$ transition probabilities are obtained with the various configurations. The experimental characteristics of band B8 in ${}^{129}\mathrm{Cs}$ and band 13 in ${}^{131}\mathrm{La}$ are well reproduced. Moreover, a distinctive rotational mode transition is uncovered in this work, progressing from the principal-axis rotation to the planar rotation and finally to the chiral rotation, as the rotational frequency evolves through different regimes.

11 pages, 9 figures

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