$μ-H$兰姆位移:用有限能量和规则分散核子激发不确定性
$μ-H$ Lamb shift: dispersing the nucleon-excitation uncertainty with a finite energy sum rule
摘要:
我们评估的双光子交换贡献的兰姆位移μ介子氢与前向色散关系。减法常数$\bar T(0,Q^2)$,这是必要的前向双虚康普顿振幅的色散评估,通过有限的能量和规则,与固定的J=0极点广义的情况下的虚光子。我们使用可用的优秀虚拟光吸收数据来评估此求和规则。我们发现μ子氢中兰姆位移的“质子极化率修正”为$-(40\pm5)μ$ eV。我们的结论是,核子结构依赖的不确定性本身是不可能解决大(300 $μ$ eV)之间的直接测量的兰姆位移$μH$和预期的基础上,传统的氢测量的差异。
英文摘要:
We assess the two-photon exchange contribution to the Lamb shift in muonic hydrogen with forward dispersion relations. The subtraction constant $\bar T(0,Q^2)$ that is necessary for a dispersive evaluation of the forward doubly-virtual Compton amplitude, through a finite energy sum rule, is related to the fixed J=0 pole generalized to the case of virtual photons. We evaluated this sum rule using excellent virtual photoabsorption data that are available. We find that the "proton polarizability correction" to the Lamb shift in muonic hydrogen is $-(40\pm5)μ$eV. We conclude that nucleon structure-dependent uncertainty by itself is unlikely to resolve the large (300$μ$eV) discrepancy between direct measurement of the Lamb shift in $μH$ and expectations based on conventional Hydrogen measurements.
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