Signature dependence of<i>M</i>1 and<i>E</i>2 transition probabilities for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mn>3</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>rotational band in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Dy</mml:mi></mml:mrow><mml:mprescripts/><mml:mrow/><mml:mrow><mml:mn>161</mml:mn></mml:mrow><mml:mrow/><mml:mrow/></mml:mmultiscripts></mml:mrow></mml:math>

The ground-state rotational band of $^{161}\mathrm{Dy}$ has been investigated through multiple Coulomb excitation with a beam of 250-MeV $^{58}\mathrm{Ni}$. \ensuremath{\gamma}-ray branchings and E2/M1 mixing ratios were determined up to the ${(25/2}^{+}$ state by measurements of \ensuremath{\gamma}-ray angular distributions and \ensuremath{\gamma}-\ensuremath{\gamma} angular correlations. Nuclear lifetimes of levels up to I=(25/2 have been measured using the Doppler-shift recoil-distance method. Considerable signature dependence was observed for \ensuremath{\Delta}I=1 M1 transition probabilities. \ensuremath{\Delta}I=1 E2 transition probabilities were found to decrease significantly as a function of spin. The results are compared with a microscopic model calculation based on the angular momentum projection method.

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