LIMIT ON ${{\mathit \mu}^{-}}$ $\rightarrow$ ${{\mathit e}^{-}}$ CONVERSION

Forbidden by lepton family number conservation.

${\mathit \sigma (}$ ${{\mathit \mu}^{-}}$ ${}^{}\mathrm {Ti}$ $\rightarrow$ ${{\mathit e}^{-}}{}^{}\mathrm {Ti}{)}$ / ${\mathit \sigma (}$ ${{\mathit \mu}^{-}}$ ${}^{}\mathrm {Ti}$ $\rightarrow$ capture${)}$

INSPIRE   PDGID:
S004RG
VALUE CL% DOCUMENT ID TECN  COMMENT
$\bf{<4.3 \times 10^{-12}}$ 90 1
DOHMEN
1993
SPEC SINDRUM II
• • We do not use the following data for averages, fits, limits, etc. • •
$<4.6 \times 10^{-12}$ 90
AHMAD
1988
TPC TRIUMF
$<1.6 \times 10^{-11}$ 90
BRYMAN
1985
TPC TRIUMF
1  DOHMEN 1993 assumes ${{\mathit \mu}^{-}}$ $\rightarrow$ ${{\mathit e}^{-}}$ conversion leaves the nucleus in its ground state, a process enhanced by coherence and expected to dominate.
Conservation Laws:
LEPTON FAMILY NUMBER
References:
DOHMEN 1993
PL B317 631 Test of Lepton-Flavour Conservation in ${{\mathit \mu}}$ $\rightarrow$ ${{\mathit e}}$ Conversion on Titanium
AHMAD 1988
PR D38 2102 Search for Muon Electron and Muon Positron Conversion
Also
PRL 59 970 Searches for Muon-Electron and Muon-Positron Conversion in Titanium
BRYMAN 1985
PRL 55 465 Search for ${{\mathit \mu}}{{\mathit e}}$ Conversion in ${}^{}\mathrm {Ti}$