Lamb Shift Calculated by a Semiquantitative Method

NI GuangJiong; WANG HaiBin; YAN Jun; LI HaiLong

Chinese Physics C> 2000, Vol. 24> Issue(5) : 400-407

Lamb Shift Calculated by a Semiquantitative Method

Department of Physics,Fudan University,Shanghai 200433,China

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Abstract：
The radiative correction of self-energy of an electron moving with momentum p and emitting-absorbing the virtual photon is calculated by the noncovariant quantum perturbation theory to have the form being b₂p⁴. After adding modifications arising from the vacuum polarization and finite nucleus size,we find the Lamb shift (LS) of 2S_1/2-2P_1/2 states in Hydrogen atom being 1056.522 MHz,smaller than the experimental value 1057.845 MHz by 0.13%. Taking the relativistic modification by Dirac equation into account,the energy differences of 4D_5/24S_1/2 states, the so-called Hyper LS and absolute LS of 1S state in Hydrogen are also calculated with maximum discrepancy up to 6.7%. The reasons are analyzed.For dealing with the divergence,we propose a simple but effective regularization renormalization method,showing that we have to reconfirm the reduced mass first before bringing a finite and fixed modification to it via radiative corrections.

References

[1]

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NI GuangJiong, WANG HaiBin, YAN Jun and LI HaiLong. Lamb Shift Calculated by a Semiquantitative Method[J]. Chinese Physics C, 2000, 24(5): 400-407.

NI GuangJiong, WANG HaiBin, YAN Jun and LI HaiLong. Lamb Shift Calculated by a Semiquantitative Method[J]. Chinese Physics C, 2000, 24(5): 400-407. shu

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Received: 1999-06-09
Revised: 1900-01-01

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通讯作者: 陈斌, [email protected]

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沈阳化工大学材料科学与工程学院沈阳 110142

Lamb Shift Calculated by a Semiquantitative Method

Corresponding author: NI GuangJiong,

Department of Physics,Fudan University,Shanghai 200433,China

Received Date: 1999-06-09

Accepted Date: 1900-01-01

Available Online: 2000-04-05

Abstract: The radiative correction of self-energy of an electron moving with momentum p and emitting-absorbing the virtual photon is calculated by the noncovariant quantum perturbation theory to have the form being b₂p⁴. After adding modifications arising from the vacuum polarization and finite nucleus size,we find the Lamb shift (LS) of 2S_1/2-2P_1/2 states in Hydrogen atom being 1056.522 MHz,smaller than the experimental value 1057.845 MHz by 0.13%. Taking the relativistic modification by Dirac equation into account,the energy differences of 4D_5/24S_1/2 states, the so-called Hyper LS and absolute LS of 1S state in Hydrogen are also calculated with maximum discrepancy up to 6.7%. The reasons are analyzed.For dealing with the divergence,we propose a simple but effective regularization renormalization method,showing that we have to reconfirm the reduced mass first before bringing a finite and fixed modification to it via radiative corrections.

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Lamb Shift Calculated by a Semiquantitative Method

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