Projected shell model description for rotational bands in the proton emitter ${}^{141}$Ho

Rotational bands of the deformed proton emitter ${}^{141}$Ho are studied by using the projected shell model. The known experimental states are well reproduced. Strongly suppressed $\gamma$ transition from the low-lying $I^{\pi }=3/2^{+}$ state makes this state isomeric, in favor of the suggestion that a proton emission could become the favorite decay mode for this state. Variations in the dynamical moment of inertia are found due to band crossings and a detailed structure in the crossing region is suggested. The role of hexadecapole deformation for this nucleus is emphasized.

Figure 1

Calculated energy levels for ${}^{141}$Ho compared with available experimental data [15].

Figure 2

(a) Calculated energy differences between spin states $I$ and $I-1$ for the positive-parity $K^{\pi }=1/2^{+}$ band, and (b) $B(M1,I\to I-1)$ values for this band.

Figure 3

Calculated dynamical moments of inertia for ${}^{141}$Ho and comparison with available experimental data [15].

Figure 4

Theoretical band diagrams for ${}^{141}$Ho.

Figure 5

Calculated relative bandhead energies of the positive-parity $K^{\pi }=1/2^{+}$ and $3/2^{+}$ bands in ${}^{141}$Ho.