Abstract
The effective Hamiltonian ofMorita andFujii is used to calculate the muon capture rate\(\mathfrak{W}_\mu \) in He3. The calculation is done including and omitting the “weak magnetic interaction” and for positive and negative sign of pseudoscalar coupling.
The results are related to the known value offt for the beta decay of the triton.
The r.m.s. radius of the charge distribution in He3 is taken to be 1·55 fm rsp. 1·85fm. (The first value follows from the results of the variational calculation ofKikuta, Morita, andYamada, the last value is based on a variational calculation for a potential with a long tailed attractive part.) The capture rates differ by 10% for the two r.m.s. radii. Our result forv r.m.s.= 1·55 fm deviates slightly from the corresponding result ofWerntz.
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The author expresses his gratitude to Professor Dr. S.Flügge for his suggestion of this problem and for the possibility to carry out this investigation with support by the Deutsche Forschungsgemeinschaft.
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Wahsweiler, H.G. Calculated rates for the reactionμ −+He3→H3+ν . Z. Physik 172, 375–385 (1963). https://doi.org/10.1007/BF01378300
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DOI: https://doi.org/10.1007/BF01378300