Diamagnetic correction to the $m{^9}$Be$m{^+}$ ground-state hyperfine constant

Diamagnetic correction to the $m{^9}$Be$m{^+}$ ground-state hyperfine constant
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对 $m{^9}$Be$m{^ }$ 基态超精细常数的抗磁校正

DOI:
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发表时间:
2011
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通讯作者:
J. Bollinger
J. Bollinger
中科院分区:
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文献类型:
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作者:
N. Shiga;W. Itano;J. Bollinger

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我们报道了对基态超精细常数A的抗磁修正的实验测定。我们在4.4609 T的磁场B$下测量了$A$ = $-625,008,837.371(11)$ Hz。与以前在较低值$B$(0.68 T和0.82 T)下获得的结果相比,得出抗磁位移系数$k$ = $2.63(18) 乘以10^{-11}$ T$^{-2}$,其中$A(B)=A_0 imes(1+k B^2)$.确定了零场超精细常数A_0 =-625,008,837.044(12)Hz。g$因子比${g_I}^prime/g_J$确定为2.134,779,852,7(10) 乘以10^{-4}$,这等于在实验误差范围内在较低$B $处测得的值。对Breit-Rabi公式的其他一些修正也设定了上限。k的实测值与理论估计值一致。
We report an experimental determination of the diamagnetic correction to the $^9$Be$^+$ ground state hyperfine constant $A$. We measured $A$ = $-625,008,837.371(11)$ Hz at a magnetic field $B$ of 4.4609 T. Comparison with previous results, obtained at lower values of $B$ (0.68 T and 0.82 T), yields the diamagnetic shift coefficient $k$ = $2.63(18) imes 10^{-11}$ T$^{-2}$, where $A(B)=A_0 imes (1+k B^2)$. The zero-field hyperfine constant $A_0$ is determined to be $-625,008,837.044(12)$ Hz. The $g$-factor ratio ${g_I}^prime/g_J$ is determined to be $2.134,779,852,7(10) imes 10^{-4}$, which is equal to the value measured at lower $B$ to within experimental error. Upper limits are placed on some other corrections to the Breit-Rabi formula. The measured value of $k$ agrees with theoretical estimates.