The g factors of isomers in semimagic $^{109}$Sn and $^{111}$Sn (isomeric lifetimes ns and ns, respectively) were measured by an extension of the Time Differential Perturbed Angular Distribution technique, which uses LaBr$_{3}$ detectors and the hyperfine fields of a gadolinium host to achieve precise measurements in a new regime of short-lived isomers. The results, and , are significantly lower in magnitude than those of the isomers in the heavier isotopes and depart from the value expected for a near pure neutron configuration. Broken-symmetry density functional theory calculations applied to the sequence of states reproduce the magnitude and location of this deviation. The values are affected by shape core polarization; the odd neutron couples to configurations in the weakly-deformed effective core, causing a decrease in the g-factor magnitudes.
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"title": "Shape polarization in the tin isotopes near = 60 From Precision -factor Measurements on Short-lived 11/2 Isomers"
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"value": "The g factors of <math><mn>11</mn><mo>/</mo><msup><mrow><mn>2</mn></mrow><mrow><mo>\u2212</mo></mrow></msup></math> isomers in semimagic $^{109}$Sn and $^{111}$Sn (isomeric lifetimes <math><mi>\u03c4</mi><mo>=</mo><mn>2.9</mn><mo>(</mo><mn>3</mn><mo>)</mo></math> ns and <math><mi>\u03c4</mi><mo>=</mo><mn>14.4</mn><mo>(</mo><mn>7</mn><mo>)</mo></math> ns, respectively) were measured by an extension of the Time Differential Perturbed Angular Distribution technique, which uses LaBr$_{3}$ detectors and the hyperfine fields of a gadolinium host to achieve precise measurements in a new regime of short-lived isomers. The results, <math><mi>g</mi><mo>(</mo><mn>11</mn><mo>/</mo><msup><mrow><mn>2</mn></mrow><mrow><mo>\u2212</mo></mrow></msup><msup><mrow><mo>;</mo></mrow><mrow><mn>109</mn></mrow></msup><mtext>Sn</mtext><mo>)</mo><mo>=</mo><mo>\u2212</mo><mn>0.186</mn><mo>(</mo><mn>8</mn><mo>)</mo></math> and <math><mi>g</mi><mo>(</mo><mn>11</mn><mo>/</mo><msup><mrow><mn>2</mn></mrow><mrow><mo>\u2212</mo></mrow></msup><msup><mrow><mo>;</mo></mrow><mrow><mn>111</mn></mrow></msup><mtext>Sn</mtext><mo>)</mo><mo>=</mo><mo>\u2212</mo><mn>0.214</mn><mo>(</mo><mn>4</mn><mo>)</mo></math>, are significantly lower in magnitude than those of the <math><mn>11</mn><mo>/</mo><msup><mrow><mn>2</mn></mrow><mrow><mo>\u2212</mo></mrow></msup></math> isomers in the heavier isotopes and depart from the value expected for a near pure neutron <math><msub><mrow><mi>h</mi></mrow><mrow><mn>11</mn><mo>/</mo><mn>2</mn></mrow></msub></math> configuration. Broken-symmetry density functional theory calculations applied to the sequence of <math><mn>11</mn><mo>/</mo><msup><mrow><mn>2</mn></mrow><mrow><mo>\u2212</mo></mrow></msup></math> states reproduce the magnitude and location of this deviation. The <math><mi>g</mi><mo>(</mo><mn>11</mn><mo>/</mo><msup><mrow><mn>2</mn></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>)</mo></math> values are affected by shape core polarization; the odd <math><mn>0</mn><msub><mrow><mi>h</mi></mrow><mrow><mn>11</mn><mo>/</mo><mn>2</mn></mrow></msub></math> neutron couples to <math><msup><mrow><mi>J</mi></mrow><mrow><mi>\u03c0</mi></mrow></msup><mo>=</mo><msup><mrow><mn>2</mn></mrow><mrow><mo>+</mo></mrow></msup><mo>,</mo><msup><mrow><mn>4</mn></mrow><mrow><mo>+</mo></mrow></msup><mo>,</mo><msup><mrow><mn>6</mn></mrow><mrow><mo>+</mo></mrow></msup><mo>.</mo><mo>.</mo><mo>.</mo></math> configurations in the weakly-deformed effective core, causing a decrease in the g-factor magnitudes."
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