Problem 2049 - mu- lifetime correction for binding energy is wrong
Summary: mu- lifetime correction for binding energy is wrong
Status: RESOLVED FIXED
Alias: None
Product: Geant4
Classification: Unclassified
Component: processes/decay (show other problems)
Version: 10.2
Hardware: All All
: P4 normal
Assignee: Krzysztof Genser
URL:
Depends on:
Blocks:
 
Reported: 2018-03-30 00:18 CEST by Duncan Prindle
Modified: 2019-02-25 23:58 CET (History)
1 user (show)

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Description Duncan Prindle 2018-03-30 00:18:28 CEST
In G4MuonMinusBoundDecay::GetMuonDecayRate(G4int Z) there is a factor (1-2.5*x*x) applied to the free mu- decay rate (x = Z_eff/137). The 2.5 accounts for the change in phase space but there are a couple of other corrections that nearly cancel this. A more accurate correction is (1-0.5*x*x).

References:
H. Uberall, Phys. Rev. 119, 365 (1960).
H. C. Von Baeyer and D. Leiter, Phys. Rev. A 19, 1371 (1979).
Comment 1 Krzysztof Genser 2018-04-11 01:41:09 CEST
Hello Duncan,

Thank you for the report.

The current implementation is based on N.C.Mukhopadhyay Phys. Rep. 30 (1977)
and T. Suzuki, D. F. Measday, J.P. Roalsvig Phys. Rev. C35 (1987) 2212.
using Zeff. Although the formula you suggest seems to be better for light nuclei
it is much worse for the very heavy ones. 

We shall try to somehow improve the current one to achieve a better
agreement for all Z.

Krzysztof
Comment 2 Krzysztof Genser 2019-02-25 23:58:27 CET
I modified G4MuonMinusBoundDecay::GetMuonDecayRate to use the Von
Baeyer/Leiter, Phys. Rev. A 19, 1371 (1979) formula up to Al(Z=13),
assuming the mass of the nucleus of the most abundant isotope for a
given Z, and then a formula based on a polynomial fit to the data quoted
in Phys.Rev. C35 (1987) 2212.  It should improve the overall agreement
with the available data for all the nuclei. It is available starting
with Geant4 10.5.