SOME CONJECTURES ON THE MASS FORMULA OF CHARGED LEPTONS

GAO CHUNG-SHOU

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2024年10月30日

Chinese Physics C> 1979, Vol. 3> Issue(4) : 518-522

SOME CONJECTURES ON THE MASS FORMULA OF CHARGED LEPTONS

GAO CHUNG-SHOU

Peking University

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Abstract：
In this note we propose that the electromagnetic self energy of lepton may beconnected with quantum number n by（（δm）/m）=（1/（2π））n^-b ,in which b is a constant.Wefnrther propose that the cut-off value of momentum M is connected with gravitationalconstant κ and fine structure constant α by M=（1/√κ）αe^-1-b.So we obtainthe mass formula of charged leptons M=（1/√κ）α exp{-3/4-b-(1/3α)n^-b}.By using the masses of e^- and μ^- and the value of a as in put,we get the calculatedvalues of κ=（6.67231±0.00026）×10^-8cm³g^-1sec^-2and m_r=（1782.306±0.078）MeVwhich agree very well with experimental values κ=（6.6720±0.0041）×10^-8cm³g^-1sec^-2 and m_τ=(1782_-4⁺³)MeV respectively.The mass of the fourth charged leptonpredicted by the formula should be m=（11725.47±0.51）MeV,which can be checkedby experiments in the near future.We also discuss briefly the proposed formula andthe obtained results.

References

[1]	伍经元、吴丹迪、李小源，高能物理与核物理，3 (1979), 108.[3] J. D. Bjorken, SLAC-PUB-2195 (1978), (T/E).[3] 东方晓等，高能物理与核物理，3 (1979), 127.[4] 罗辽复，自然杂志，2 (1979)，132.，

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GAO CHUNG-SHOU. SOME CONJECTURES ON THE MASS FORMULA OF CHARGED LEPTONS[J]. Chinese Physics C, 1979, 3(4): 518-522.

GAO CHUNG-SHOU. SOME CONJECTURES ON THE MASS FORMULA OF CHARGED LEPTONS[J]. Chinese Physics C, 1979, 3(4): 518-522. shu

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Received: 1979-04-19
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

SOME CONJECTURES ON THE MASS FORMULA OF CHARGED LEPTONS

GAO CHUNG-SHOU

Peking University

Received Date: 1979-04-19
Accepted Date: 1900-01-01
Available Online: 1979-08-05

Abstract: In this note we propose that the electromagnetic self energy of lepton may beconnected with quantum number n by（（δm）/m）=（1/（2π））n^-b ,in which b is a constant.Wefnrther propose that the cut-off value of momentum M is connected with gravitationalconstant κ and fine structure constant α by M=（1/√κ）αe^-1-b.So we obtainthe mass formula of charged leptons M=（1/√κ）α exp{-3/4-b-(1/3α)n^-b}.By using the masses of e^- and μ^- and the value of a as in put,we get the calculatedvalues of κ=（6.67231±0.00026）×10^-8cm³g^-1sec^-2and m_r=（1782.306±0.078）MeVwhich agree very well with experimental values κ=（6.6720±0.0041）×10^-8cm³g^-1sec^-2 and m_τ=(1782_-4⁺³)MeV respectively.The mass of the fourth charged leptonpredicted by the formula should be m=（11725.47±0.51）MeV,which can be checkedby experiments in the near future.We also discuss briefly the proposed formula andthe obtained results.