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- W1571787406 startingPage "1772" @default.
- W1571787406 abstract "Monopole and quadrupole charge distributions of $^{154}mathrm{Gd}$, $^{155}mathrm{Gd}$, $^{156}mathrm{Gd}$, $^{157}mathrm{Gd}$, $^{158}mathrm{Gd}$, and $^{160}mathrm{Gd}$ were investigated by muonic-atom $K$ and $L$ x-ray measurements. The model-independent Barrett charge radii ${R}_{k}$ and the isotope shifts $ensuremath{Delta}{R}_{k}$ were measured, and values of $〈{r}^{2}〉$ and $ensuremath{Delta}〈{r}^{2}〉$ were deduced. A pronounced even-odd staggering effect of the nuclear charge radii was observed for the series $^{156ensuremath{-}158}mathrm{Gd}$. The quadrupole moments of the first excited states of the even-$A$ Gd nuclei were determined to be ${Q}^{154}({2}^{+})=ensuremath{-}1.82(4) e$ b, ${Q}^{156}({2}^{+})=ensuremath{-}1.93(4) e$ b, ${Q}^{158}({2}^{+})=ensuremath{-}2.01(4) e$ b, and ${Q}^{160}({2}^{+})=ensuremath{-}2.08(4) e$ b, and the quadrupole moments of the ${frac{3}{2}}^{ensuremath{-}}$ ground states of the odd-$A$ $^{155,157}mathrm{Gd}$ nuclei were determined to be ${Q}^{155}({frac{3}{2}}^{ensuremath{-}})=1.27(3) e$ b and ${Q}^{157}({frac{3}{2}}^{ensuremath{-}})=1.35(3) e$ b. Comparison with a separate measurement of the odd-$A$ ground-state quadrupole moments based on the static hyperfine splitting of the muonic $M$ x rays showed that the model error in the extracted quadrupole moments of these nuclei is less than 2 percent. The quadrupole moments and the $B(E2)$ values obtained in the present experiment for the low-lying Gd states are in satisfactory agreement with the axially symmetric rotational model. However, the $^{154}mathrm{Gd}$ nucleus exhibits a considerable softness as indicated by the isomer shift of the ${2}^{+}$ excited state and by the experimental value of the ratio $frac{Q({2}^{+})}{B(E2:{0}^{+}ensuremath{rightarrow}{2}^{+})}$.NUCLEAR STRUCTURE $^{154ensuremath{-}158,160}mathrm{Gd}$; measured muonic x-ray spectra; deduced monopole and quadrupole charge parameters; isotope and isomer shifts." @default.
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- W1571787406 title "Muonic x-ray measurement of the monopole and quadrupole charge parameters of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant=normal>Gd</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>1</mml:mn><mml:mn>5</mml:mn><mml:mn>4</mml:mn><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mn>5</mml:mn><mml:mn>8</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mn>6</mml:mn><mml:mn>0</mml:mn></mml:mrow><mml:mrow…" @default.
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- W1571787406 doi "https://doi.org/10.1103/physrevc.27.1772" @default.
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