Recoil Effect on Electron-Proton Forces and Inapplicability of Energy Law
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概要
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Bethe and Fermi showed that Breit's formula for the two-electron interaction transmitted by photons can be obtained accroding to the quantum electrodynamics if the recoil effect is neglected. It was shown by Breit himself that his formula was not in complete agreement with experiment. The discrepancy was shown to come from a term which was proportioanl to e^4 in the Pauli approximation, but its true origin has not yet fully been known. In the present paper it is shown that this surplus term is due to the neglect of the recoil effect and the discrepancy disappears when the interactions is derived correctly taking into account the effect of the electron and proton recoils accroding to the method of the unitary transformation. Further it has generally been known that the elctron-proton interaction transmitted by photons takes the form which was previously derived by Mφller for the two-electron interaction if the conservation law is applied to the total energy of the two particles in the free state. In the present paper it is shown that the application of the energy law gives rise to an incorrect result in case of hydrogen atom. Accroding to Mφller's formula the interval between 2^2S_<1 / 2>and 2^2P_<1 / 2>levels of the hydrogen atom becomes too large. Its value amounts to 7273 M_<c / s>in contradiction to the Lamb-Retherford experiment. Therefore we arrive at the conclusion that the energy law can not be made use of in general when forces between Fermions in the bound states are derived.
- 理論物理学刊行会の論文
著者
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Araki Gentaro
Faculty Of Engineering Kyoto Univeristy
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Huzinaga Sigeru
Faculty Of Engineering Kyoto University
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