Radiative Muon Capture in Hydrogen
1964Published in:
- Phys.Rev. 134 (1964) B428-B435
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Abstract: (APS)
It is shown that Γrad, the rate (in sec−1) of the radiative muon capture reaction μ−+p→γ+ν+n, is very different in the two eigenstates of total [μ−p] spin (hyperfine effect in radiative muon capture). It is further shown that, in each of these two eigenstates, Γrad depends sensitively on the magnitudeo f the pseudoscalar form factor. In particular for gP(μ)=8gA(μ) (pseudoscalar form factor dominated by a single pion pole term) the ratio, R=ΓradΓnonrad, of radiative to nonradiative muon capture rates is given by: Rsing=4.96×10−3634=0.079×10−4 (spin-singlet [μp] atom); Rtrip=9.00×10−213.3=69×10−4 (spin-triplet [μp] atom); Rmixt=6.87×10−2168=4.1×10−4 (statistical mixture of spin-singlet and spin-triplet [μp] atoms); Rmolec=3.07×10−2560=0.55×10−4 (spin-doublet ortho [pμp] molecule). If, on the other hand, gP(μ)=16gA(μ) (with the additional contribution to the pseudoscalar form factor taken to be effectively independent of momentum transfer for |q2|≲mπ2), the ratios R become: Rsing=14.6×10−3503=0.29×10−4; Rtrip=11.8×10−237.0=32×10−4; Rmixt=9.19×10−2154=6.0×10−4; Rmolec=4.72×10−2452=1.04×10−4, so that the sensitivity mentioned is exhibited.References(27)
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